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Material Science and Engineering (MSE)


1 st International Workshop on<br />

Spin-Orbit Induced Torque<br />

ABSTRACTS<br />

February 24 – 27, 2013<br />

<strong>Spintronics</strong> <strong>Group</strong>, MSE<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology (KAUST)<br />

Thuwal, <strong>King</strong>dom <strong>of</strong> Saudi Arabia


Through Inspiration, D<strong>is</strong>covery


ACKNOWLEDGEMENTS<br />

The 1st International Workshop on Spin-Orbit Induced Torque<br />

has been made possible by the financial support from KAUST’s<br />

Office <strong>of</strong> Competitive Research Funding (OCRF) through<br />

the Conference and Workshop Progam. We also thank the<br />

President's Office and the department <strong>of</strong> Event Management<br />

for their valuable support.


1 st International Workshop on<br />

Spin-Orbit Induced Torque<br />

Local Organizing Committee<br />

Aurelien Manchon, Ass<strong>is</strong>tant Pr<strong>of</strong>essor, MSE, KAUST (Chair)<br />

Udo Schwingenschlogl, Associate Pr<strong>of</strong>essor, MSE, KAUST<br />

Jurgen Kosel, Ass<strong>is</strong>tant Pr<strong>of</strong>essor, EE, KAUST<br />

Xixiang Zhang, Imaging and Characterization Core labs, KAUST<br />

International Scientific Committee<br />

Stuart Parkin, Pr<strong>of</strong>essor & research direction, IBM Almaden, US<br />

Mark Stiles, research director, NIST, US<br />

Mihai Miron, researcher, Spintec, France<br />

Kyung-Jin Lee, Pr<strong>of</strong>essor, Korea University, Korea<br />

7


Spin-orbit Torque Workshop<br />

February 24 – 27, 2013<br />

Level 0 Auditorium Between Ibn Al-Haytham and Ibn Sina (Buildings 2 and 3)<br />

Program Schedule<br />

Sunday, February 24<br />

Monday, February 25 Tuesday, February 26 Wednesday, February 27<br />

8:30a.m. Breakfast<br />

8:50a.m.<br />

Opening Remarks<br />

Jean Frechet<br />

KAUST VP Research<br />

Chair: H. Yang Chair: S.-H. Yang Chair: X. Wang<br />

9:00-9:35 a.m.<br />

M. Hayashi<br />

NIMS, Japan<br />

8:45-9:20 a.m.<br />

H. Ohno<br />

RIEC-Tohoku, Japan<br />

8:45-9:20 a.m.<br />

A.H. MacDonald<br />

UT Austin, US<br />

9:35-10:10 a.m.<br />

H.W. Lee<br />

Postech, Korea<br />

10:10-10:45 a.m.<br />

A. Thiaville<br />

LPS, France<br />

9:20-9:55 a.m.<br />

M.D. Stiles<br />

NIST, US<br />

9:55-10:30 a.m.<br />

H. Swagten<br />

TU Eindhoven, Netherlands<br />

9:20-9:55 a.m.<br />

A. Fergusson<br />

Cambridge, UK<br />

9:55-10:30 a.m.<br />

H. Li<br />

KAUST, KSA<br />

09:30 a.m.-10:30 a.m.<br />

Core Labs tour<br />

C<strong>of</strong>fee Break<br />

Chair: K. Hals Chair: F. Freimuth Chair: P. Haney<br />

11:00 -11:35 a.m.<br />

X. Wang<br />

KAUST, KSA<br />

C<strong>of</strong>fee Break<br />

10:45-11:20 a.m.<br />

H. Yang<br />

NUS, Singapore<br />

C<strong>of</strong>fee Break<br />

10:45-11:20 a.m.<br />

M. F<strong>is</strong>cher<br />

Cornell, US<br />

11:35 a.m.-12:10 p.m.<br />

F. Freimuth<br />

Julich, Germany<br />

11:20-11:55 a.m.<br />

P. Haney<br />

NIST, US<br />

11:20-11:55 a.m.<br />

C. Ortiz Pauyac<br />

KAUST, KSA<br />

12:10 -12:45 p.m.<br />

G. Beach,<br />

MIT, US<br />

11:55 a.m.-12:30 p.m.<br />

J. Wunderlich<br />

Prague, CzR/Cambridge, UK<br />

11:55 a.m.-12:30 p.m.<br />

K.J. Lee,<br />

Korea U., Korea<br />

Lunch<br />

Chair: K. Garello<br />

Lunch<br />

Chair: E. Villanova<br />

Lunch<br />

Chair: M. Yamanouchi<br />

Lunch<br />

2:15-3:05 p.m.<br />

A. Fert,<br />

CNRS-Thales, France<br />

2:00-2:50 p.m.<br />

S.S.P. Parkin<br />

IBM Almaden, US<br />

2:00-2:50 p.m.<br />

Gaudin<br />

Spintec, France<br />

3:05-3:40 p.m.<br />

C.F. Pai,<br />

Cornell, US<br />

2:50-3:25 p.m.<br />

E. Fullerton<br />

UCSD, US<br />

2:50-3:25 p.m.<br />

K. Hals<br />

Nordheim, Norway<br />

3:40-4:15 p.m.<br />

S. Grytsyuk,<br />

KAUST, KSA<br />

3:25-4:00 p.m.<br />

K. Garello<br />

ICN, Spain<br />

3:25-4:00 p.m.<br />

S. Demokritov<br />

Muenster U., Germany<br />

11a.m.-03:00 p.m.<br />

Snorkeling Tour<br />

C<strong>of</strong>fee Break<br />

C<strong>of</strong>fee Break<br />

C<strong>of</strong>fee Break<br />

4:30-5:15 p.m.<br />

D<strong>is</strong>cussion<br />

Chair: M.D. Stiles, NIST<br />

4:15-4:45 p.m.<br />

D<strong>is</strong>cussion<br />

Chair: K.J. Lee, Korea U.<br />

4:15-5:00 p.m.<br />

D<strong>is</strong>cussion<br />

Chair: M. Miron, SPINTEC<br />

Break<br />

Break<br />

Break<br />

Free Time-<br />

Poster Session<br />

5:15 p.m.<br />

President’s D<strong>is</strong>tingu<strong>is</strong>hed<br />

Lecture by Albert Fert<br />

Auditorium, bdg 20<br />

5:15-6:45 p.m.<br />

Poster session<br />

Chair: F. Dogan<br />

7:30 p.m.<br />

Welcome Dinner<br />

Marina–Al Marsa<br />

7:30 p.m.<br />

Bowling night<br />

7:30 p.m.<br />

Gala Dinner<br />

Thuwal Sayeed<br />

F<strong>is</strong>h restaurant<br />

8


Spin-Orbit Induced Torque Workshop 2013<br />

International Invited speakers<br />

NAME<br />

Ge<strong>of</strong>frey Beach<br />

Sergej Demokritov<br />

Andrew Ferguson<br />

Albert Fert<br />

Mark F<strong>is</strong>cher<br />

Frank Freimuth<br />

Eric Fullerton<br />

Sergiy Grytsyuk<br />

Kevin Garello<br />

Gilles Gaudin<br />

Kjetil Hals<br />

Paul Haney<br />

Masamitsu Hayashi<br />

Hyun-Woo Lee<br />

Kyung-Jin Lee<br />

Hang Li<br />

Allan MacDonald<br />

Hideo Ohno<br />

Chr<strong>is</strong>tian Ortiz Pauyac<br />

Chi-Feng Pai<br />

Stuat Parkin<br />

Mark Stiles<br />

Henk Swagten<br />

Andre Thiaville<br />

Joerg Wunderlich<br />

Xuhui Wang<br />

Hyunsoo Yang<br />

Institution<br />

MIT, US<br />

University <strong>of</strong> Muenster, Germany<br />

Cambridge University, UK<br />

CNRS-Thales, France<br />

Cornell University, US<br />

Forschungszentrum Jülich, Germany<br />

UCSD, US<br />

KAUST, Saudi Arabia<br />

Universitat Autonoma de Barcelona, Spain<br />

SPINTEC, France<br />

Trondheim University, Norway<br />

NIST, US<br />

NIMS, Japan<br />

POSTECH University, Korea<br />

Korea University, Korea<br />

KAUST, Saudi Arabia<br />

UT Austin, US<br />

RIEC/Tohoku University, Japan<br />

KAUST, Saudi Arabia<br />

Cornell University, US<br />

IBM-Almaden, US<br />

NIST, US<br />

TU Eindhoven, The Netherlands<br />

Laboratoire de Physique du Solide, Orsay, France<br />

Cambridge, UK & ASCR, Prague<br />

KAUST, Saudi Arabia<br />

National University <strong>of</strong> Singapore, Singapore<br />

9


10<br />

ORAL PRESENTATIONS


Current induced spin orbit torques<br />

in magnetic heterostructures<br />

Masamitsu Hayashi 1<br />

1 National Institute for Materials Science, Tsukuba 305-0047, Japan<br />

‎*email <strong>of</strong> presenting author: hayashi.masamitsu@nims.go.jp<br />

We would like to present our latest findings on current induced torques in Ta|CoFeB|MgO magnetic heterostructures[1]. Ultrathin<br />

magnetic heterostructures exhibit a variety <strong>of</strong> rich physics owing to the strong effects from the interfaces. Power efficient current<br />

induced magnetization switching and domain nucleation, fast current driven domain wall motion have been observed in such<br />

systems. Most <strong>of</strong> the current (or voltage) induced effects in these systems can be represented by the “effective magnetic fields”,<br />

which illustrate the strength and direction <strong>of</strong> the torque exerted on the magnetic moments. A comprehensive understanding <strong>of</strong><br />

the effective fields <strong>is</strong> key to the development <strong>of</strong> magnetic nano-devices aimed for memory and logic applications.<br />

A low current lock-in detection scheme <strong>is</strong> used to evaluate the effective field vector. The CoFeB layer <strong>is</strong> perpendicularly magnetized<br />

owing to the interface magnetic an<strong>is</strong>otropy <strong>of</strong> CoFeB|MgO. We find that the effective field <strong>is</strong> very sensitive to the thickness <strong>of</strong> the<br />

Ta and CoFeB layers. The effective field even changes its direction when the Ta layer thickness <strong>is</strong> varied, indicating that t<strong>here</strong> are<br />

competing effects that contribute to the effective field generation. We d<strong>is</strong>cuss our results in light <strong>of</strong> the spin Hall effect and an<br />

effect due to Rashba-like Hamiltonian.<br />

Acknowledgment: FIRST program<br />

[1] J. Kim et al., Nature Mater. (2013) in press.<br />

11


Rashba spin-orbit coupling in a<br />

magnetic bilayer: Roles <strong>of</strong> orbital<br />

angular momentum<br />

Jin-Hong Park 1 , Choong H. Kim 2 , Hyun-Woo Lee 3 *, and Jung Hoon Han 1<br />

1 Department <strong>of</strong> Physics, Sungkyunkwan University, Suwon 440-746, Korea<br />

2 Department <strong>of</strong> Physics and Astronomy, Seoul National University, Seoul 151-742, Korea<br />

3 Department <strong>of</strong> Physics, POSTECH, Pohang, Kyungbuk 870-784, Korea<br />

‎*email <strong>of</strong> presenting author: HWL@postech.ac.kr<br />

Rashba spin-orbit coupling α R σ . (k x ẑ) ar<strong>is</strong>es when the inversion symmetry <strong>is</strong> broken near an interface. Despite large amount <strong>of</strong><br />

literature on the Rashba spin-orbit coupling, its study on magnetic systems <strong>is</strong> very rare [1]. In order to examine the magnitude and<br />

character<strong>is</strong>tics <strong>of</strong> the Rashba spin-orbit coupling in a magnetic bilayer that cons<strong>is</strong>ts <strong>of</strong> an ultrathin 3d magnetic layer in contact<br />

with a non-magnetic heavy metal layer, we study theoretically the electronic structure <strong>of</strong> the bilayer. Our first-principles calculation<br />

[2] indicates that many energy bands <strong>of</strong> the bilayer may possess large Rashba parameter α R <strong>of</strong> order 1 eV . A. We identify two crucial<br />

factors for the large α R : momentum-dependent ordering <strong>of</strong> atomic orbital angular momentum and strong orbital hybridization in<br />

the bilayer. Interestingly, the sign <strong>of</strong> α R varies from energy bands to energy bands. We argue that average α R relevant for electron<br />

transport properties will thus depend sensitively on exactly which bands are located at the Fermi energy. In particular, if multiple<br />

bands at the Fermi energy make mutually cancelling contributions, the average α R may be much smaller than 1 eV . A. If time allows,<br />

we also d<strong>is</strong>cuss briefly implications <strong>of</strong> the Rashba spin-orbit coupling on the spin torque and other magnetic properties.<br />

12


On the role <strong>of</strong> Dzyaloshinskii<br />

domain walls in ultrathin<br />

magnetic films<br />

André Thiaville 1 *, Stan<strong>is</strong>las Rohart 1 , Emilie Jué 2 , Vincent Cros 3 , Albert Fert 3<br />

1 Laboratoire de Physique des Solides, Université Par<strong>is</strong>-sud, CNRS UMR 8502, Orsay, France<br />

2 SPINTEC, Institut Nanosciences et Cryogénie, UMR CEA-CNRS-INPG-UJF, Grenoble, France<br />

3 Unité Mixte de Physique CNRS-Thales and Université Par<strong>is</strong>-sud, Pala<strong>is</strong>eau, France<br />

‎*email <strong>of</strong> presenting author: andre.thiaville@u-psud.fr<br />

We have explored a new type <strong>of</strong> domain wall structure in ultrathin films with perpendicular an<strong>is</strong>otropy, as a consequence <strong>of</strong> the<br />

ex<strong>is</strong>tence <strong>of</strong> a Dzyaloshinskii-Moriya interaction (DMI) due to the adjacent layers. Th<strong>is</strong> study was performed by numerical and<br />

analytical micromagnetics. The results show that these walls can, depending on the value <strong>of</strong> the DMI constant, move in stationary<br />

conditions at large velocities under large fields. These walls also show interesting properties <strong>of</strong> current-induced domain wall<br />

motion under the spin Hall effect. Even if these walls look like Néel walls in statics (for large enough DMI), their dynamics <strong>is</strong><br />

unique. Thus we propose to call them Dzyaloshinskii domain walls [1].<br />

An important aspect <strong>of</strong> th<strong>is</strong> work <strong>is</strong> that we have considered the Fert form [2] <strong>of</strong> the DMI induced by an adjacent layer, that reads<br />

in continuous form<br />

w<strong>here</strong> z <strong>is</strong> the film normal direction (oriented from the adjacent layer to the film), (m) the unit magnetization vector, and D (units<br />

J/m2) the DMI constant in micromagnetic notation. Th<strong>is</strong> form <strong>is</strong> different from the `bulk’ form <strong>of</strong> DMI usually considered for<br />

materials without inversion symmetry [3], but corresponds to what has been observed by spin-polarized STM [4], and leads to<br />

magnetization cycloids rather than helixes. In other words, th<strong>is</strong> form <strong>of</strong> the DMI leads to Néel-like domain walls.<br />

[1] A. Thiaville, S. Rohart, E. Jué, V. Cros, A. Fert, Europhys. Lett. 100, 57002 (2012).<br />

[2] A. Fert, Mater. Science Forum 59-60, 439 (1990); A. Fert, P.M. Levy, Phys. Rev. Lett. 44, 1538 (1980).<br />

[3] for an introduction, see A.N. Bogdanov, U.K. Rössler, Phys. Rev. Lett. 87, 037203 (2001).<br />

13


Spin-hall Conductivity and<br />

Electric Polarization in Metallic<br />

Thin Films<br />

Xuhui Wang, 1 Jiang Xiao , 2, 3 Aurelien Manchon, 1 and Sadamichi Maekawa 4, 5<br />

1 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology (KAUST), Physical Science and Engineering Div<strong>is</strong>ion, Thuwal 23955-6900, Saudi Arabia<br />

2 Department <strong>of</strong> Physics and State Key Laboratory <strong>of</strong> Surface Physics, Fudan University, Shanghai 200433, China<br />

3 Center for Spintronic Devices and Applications, Fudan University, Shanghai 200433, China<br />

4 Advanced Science Research Center, Japan Atomic Energy Agency, Tokai 319-1195, Japan<br />

5 CREST, Japan Science and Technology Agency, Tokyo 102-0075, Japan<br />

In a normal metallic thin film (without bulk spin-orbit coupling, such as Cu or Al) <strong>is</strong> sandwiched by two insulators, the<br />

potential gradients at the interfaces give r<strong>is</strong>e to a Rashba type interfacial spin-orbit coupling. Our theoretical studies<br />

reveal that two prominent effects ar<strong>is</strong>e due to such an interfacial spin-orbit coupling: a giant spin-Hall conductivity due<br />

to the surface scattering and a transverse electric polarization due to the spin-dependent phase shift in the spinor wave<br />

functions. More interestingly, the spin-Hall conductivity <strong>is</strong> independent <strong>of</strong> microscopic details <strong>of</strong> the interfacial spin-orbit<br />

coupling. The electric polarization, manifesting itself as a Hall efffect in the absence <strong>of</strong> magnetic field and magnet<strong>is</strong>m, <strong>is</strong><br />

along the confinement direction that <strong>is</strong> unique to the multilayer structure while absent in any two-dimensional systems.<br />

We also d<strong>is</strong>cuss the experimental method towards detection <strong>of</strong> the electric polarization.<br />

14


Ab initio study <strong>of</strong> Spin-Orbit<br />

Torques in inversion asymmetric<br />

Magnetic Layers<br />

Frank Freimuth, Yuriy Mokrousov, Stefan Blügel<br />

Peter Grünberg Institut & Institute for Advanced Simulation,<br />

Forschungszentrum Jülich and JARA, 52425 Jülich, Germany<br />

f.freimuth@fz-juelich.de<br />

Several recent experiments [1,2,3,4,5] have shown that an in-plane current can switch magnetization <strong>of</strong> thin ferromagnetic<br />

metallic layers asymmetrically sandwiched between an oxide layer on one side and a paramagnetic metal layer on the other. The<br />

current induced torques in these experiments stem both from the spin-Hall effect (SHE) <strong>of</strong> the paramagnetic metal layer, which<br />

injects a spin-current into the ferromagnetic metal, and from the Rashba effect, due to which the charge carriers experience an<br />

in-plane spin-orbit field.<br />

The microscopic origin <strong>of</strong> the current induced torques in these systems <strong>is</strong> currently only poorly understood, especially because the<br />

magnitude <strong>of</strong> the effective Rashba interaction has not been measured directly in the experiments, making estimations based on<br />

the Rashba model difficult. Moreover, models that consider contributions both due to SHE and due to the Rashba effect on an<br />

equal footing are difficult to construct.<br />

In th<strong>is</strong> presentation we d<strong>is</strong>cuss density-functional theory calculations <strong>of</strong> the current-induced torques in Pt/Co/X heterostructures<br />

(X=Vacuum, or Al, or O, or AlO). In agreement with experiments, our calculations show the presence <strong>of</strong> two geometrically d<strong>is</strong>tinct<br />

torque components, a field-like one corresponding to a current-induced effective magnetic field in the plane <strong>of</strong> the magnetic layer,<br />

and an STT-like one allowing to switch the magnetization reversibly between the two perpendicular configurations. Both torque<br />

components ar<strong>is</strong>e partly from the SHE and partly from the Rashba effect. We find that while the current-induced in-plane effective<br />

magnetic field <strong>is</strong> almost negligible in Pt/Co/Vacuum, it becomes sizeable if Al, O, or AlO are deposited on Co. Likew<strong>is</strong>e, our<br />

calculations <strong>of</strong> the STT-like component are in good agreement with experiments. Moreover, by determining the spin-current in the<br />

perpendicular direction layer resolved and by switching <strong>of</strong>f the spin-orbit interaction in the Co layer we d<strong>is</strong>entangle contributions<br />

from the Rashba effect and contributions due to SHE. It <strong>is</strong> found that both mechan<strong>is</strong>ms contribute in real<strong>is</strong>tic systems and can<br />

generally be <strong>of</strong> the same order <strong>of</strong> magnitude.<br />

[1] Miron et al., Nature Mat. 9, 230 (2010)<br />

[2] Miron et al., Nature 476, 189 (2011)<br />

[3] Liu et al., arXiv: 1110.6846<br />

[4] Liu et al., Science 336, 555 (2012)<br />

[5] Pi et al., APL 97, 162507 (2010)<br />

15


Domain wall motion via<br />

interfacial spin-orbit torques<br />

S. Emori​ 1 , U. Bauer 1 , S.-M. Ahn 1 , and G. S. D. Beach 1 *<br />

1 Department <strong>of</strong> Materials Science and Engineering, Massachusetts Institute <strong>of</strong> Technology, US<br />

‎*email <strong>of</strong> presenting author: gbeach@mit.edu<br />

Current-controlled d<strong>is</strong>placement <strong>of</strong> domain walls (DWs) in ferromagnetic nanowires underpins the operation <strong>of</strong> an emerging class<br />

<strong>of</strong> spintronic memory and logic devices. In ultrathin ferromagnets sandwiched between an oxide and a heavy metal, currentinduced<br />

DW motion <strong>is</strong> anomalously efficient [1,2]. Th<strong>is</strong> observation has been widely attributed to a Rashba effective field that<br />

stabilizes Bloch DWs against deformation, permitting high-speed motion via conventional spin-transfer torque [1]. However, the<br />

spin Hall effect in the heavy metal has recently been shown strong enough to induce magnetization switching [3], which suggests<br />

that it likew<strong>is</strong>e plays a key role in current-induced DW motion [4,5]. We will show that current alone drives DWs with high<br />

efficiency in both Pt/CoFe/MgO and Ta/CoFe/MgO nanowires, but the direction <strong>of</strong> motion depends on the sign <strong>of</strong> the spin Hall<br />

angle <strong>of</strong> the underlayer. We directly measure the Slonczewski-like torque due to the spin Hall effect via magnetization tilting<br />

measurements, and find it to be cons<strong>is</strong>tent with previously-reported spin Hall angles for Pt and Ta [3]. The magnitude <strong>of</strong> the<br />

measured Slonczewski-like torque agrees well with the effective field extracted from current-driven DW motion measurements,<br />

but the symmetry <strong>of</strong> th<strong>is</strong> torque precludes it from driving the Bloch DWs that are expected from magnetostatic considerations. We<br />

show experimentally that the recently-proposed Dzyaloshinskii-Moriya interaction [6] provides the m<strong>is</strong>sing ingredient, stabilizing<br />

Néel DWs with a fixed chirality to permit robust current-driven motion in a fixed direction.<br />

[1] I.M. Miron et al. Nat. Mater. 9, 230 (2010); ibid 10, 419 (2011).<br />

[2] S. Emori et al. Appl. Phys. Lett. 101, 042405 (2012).<br />

[3] L. Liu, et al., Science 336, 555–558 (2012); L. Liu et al. Phys. Rev. Lett. 109, 096602 (2012).<br />

[4] K.–W. Kim, et al., Phys. Rev. B 85, 180404 (2012); X. Wang & A. Manchon, arXiv:1111.5466 (2011).<br />

[5] P.P.J. Haazen, et al., arXiv:1209.2320 (2012).<br />

[6] A. Thiaville et al. Europhys. Lett. 100, 57002 (2012).<br />

16


Spin-orbitronics<br />

A.Fert 1 , V. Cros 1 , C. Deranlot 1 , J-M. George 1 , J. Grollier 1 , H. Jaffres 1 , N. Reyren 1 ,<br />

J. Sampaio 1 ,Y. Kawan<strong>is</strong>hi 2 , Y. Niimi 2 , Y. Otani 2,3 , D.-H. Wei 2 , M. Chshiev 4 ,<br />

H.-X. Yang 4 , T. Valet 5 , J.P. Attané 6 , P. Laczkowski 6 , J.C. Rojas Sanchez 6 , L. Vila 6 ,<br />

A.V. Khvalkovskiy 7 , J-M De Teresa 8 , P.M. Levy 9 .<br />

1 UMP CNRS-Thales and Université Par<strong>is</strong>-Sud, 1 AV. A. Fresnel, Pala<strong>is</strong>eau, 91767, France<br />

2 Institute for Solid State Physics, University <strong>of</strong> Tokyo, Kashiwa, Chiba, Japan.<br />

3 RIKEN-ASI, Wako, Saitama, Japan.<br />

4 SPINTEC, UMR-8191, CEA/CNRS/UJF/GINP,38054 Grenoble, France.<br />

5 In Silicio SAS, 13857 Aix en Provence Cedex 3, France.<br />

6 INC, CEA, 38054, Grenoble, France<br />

7 Grand<strong>is</strong>, Inc., 1123 Cadillac Court, Milpitas, California 95035, U.S<br />

8 ICM,Univ-Zaragoza-CSIC,Spain<br />

9 New York University,New York, US<br />

e-mail: albert.fert@thalesgroup.com<br />

I will review recent advances on Spin-Orbit effects in nonmagnetic metallic materials and at interfaces.<br />

a) Dzyaloshinsky-Moriya interactions at metallic interfaces [1-2] and generation <strong>of</strong> magnetic skyrmions [2].<br />

b) Very large Spin Hall Effect (SHE) generated by heavy impurities in simple metals: experiments (Spin Hall angle = - 0.24 for<br />

0.5% Bi in Cu) and theory [3].<br />

c) Rashba and Edelstein-Rashba [4] effects at metallic interfaces, observation <strong>of</strong> the Inverse Edelstein-Rashba effect induced<br />

by the Bi/Ag interface.<br />

d) Current-induced motion <strong>of</strong> skyrmions (or domain walls) using SHE and Rashba effect [5].<br />

[1] A. Fert, Metallic Multilayers, Materials Science Forum 59-60, Trans. Tech. Publ. (1990), p.440.<br />

[2] S. Heinze et al, Nature Physics 7 (2011), 713<br />

[3] Y. Niimi et al, PRL 106, 126601 (2011)<br />

[4] V.M. Edelstein, Sol. Stat. Comm. 73, 233 (1990))<br />

[5]A.V. Khvalkovskiy et al, Phys. Rev. B 87, EID e020402<br />

17


The spin Hall effect in Tantalum<br />

and Tungsten-based systems<br />

Chi-Feng Pai 1 *, Luqiao Liu 1 , Yun Li 1 , H.W. Tseng 1 , Daniel C. Ralph 2 and Robert A. Buhrman 1<br />

1 School <strong>of</strong> Applied and Engineering Physics, Cornell University, US<br />

2 Department <strong>of</strong> Physics, Cornell University, US<br />

‎*email <strong>of</strong> presenting author: cp389@cornell.edu<br />

It has been shown that the spin-orbit interaction from Pt can be utilized to control the magnetization direction <strong>of</strong> an adjacent<br />

ferromagnetic layer with an in-plane charge current [1,2]. Here we present a similar effect in Ta and W-based systems but with<br />

an opposite spin-torque polarity and with a greater magnetization switching efficiency in compar<strong>is</strong>on to that observed in Pt-based<br />

systems [3,4]. Our results from both spin-torque ferromagnetic resonance (ST-FMR) measurements and from in-plane magnetization<br />

spin-torque switching in three-terminal devices can be well-explained by the spin Hall effect induced spin transfer torque scenario.<br />

From these measurements we estimate the spin Hall angle <strong>of</strong> the high res<strong>is</strong>tivity ß-Ta and ß-W to be ~-0.15 and ~-0.30, respectively.<br />

[1] I. M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M. V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl,<br />

and P. Gambardella, Nature 476 189 (2011).<br />

[2] L. Liu, O. J. Lee, T. J. Gudmundsen, D. C. Ralph and R. A. Buhrman, Phys. Rev. Lett. 109, 096602 (2012).<br />

[3] L. Liu, C.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Science 336, 555 (2012).<br />

[4] C.-F. Pai, L. Liu, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, Appl. Phys. Lett. 101, 122404 (2012).<br />

18


Rashba effect at the Co/ X<br />

interfaces (X=Pt, Pd, Au, Ir, Bi,<br />

W, Ta, and Rh). Influence <strong>of</strong> the<br />

lattice m<strong>is</strong>match.<br />

S. Grystyuk, A. Belabbes, U. Schwingenschlogl, A. Manchon<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology (KAUST), Physical Science and Engineering Div<strong>is</strong>ion,<br />

Thuwal 23955-6900, Saudi Arabia<br />

The development <strong>of</strong> the electronic devices, w<strong>here</strong> magnetization control <strong>is</strong> realized by means <strong>of</strong> electrical currents rather than<br />

external magnetic fields, <strong>is</strong> <strong>of</strong>fering new perspectives to <strong>Spintronics</strong>. A prom<strong>is</strong>ing way to control the magnetization direction <strong>of</strong><br />

spin-based devices <strong>is</strong> to exploit the spin-orbit coupling (SOC) present in the band structures <strong>of</strong> inversion-asymmetric systems. In<br />

such structures, a specific form <strong>of</strong> spin-orbit coupling known as Rashba SOC ar<strong>is</strong>es and allows for the electrical generation <strong>of</strong> spin<br />

density. Although the Rashba effect <strong>is</strong> well-known in semiconductor structures, it’s nature at metallic interfaces has only been<br />

scarcely studied.<br />

In the present work, we investigate the spin-splitting <strong>of</strong> the band structures <strong>of</strong> thin layers composed ferromagnetic 3d transition<br />

metals (<strong>here</strong>, Co) and noble-metals such as Pt, Pd, Au, Ir, Bi, W, Ta, Rh. Using first principle calculation, we identify a clear Rashba<br />

spin-splitting that depends on the structure symmetry. The strength <strong>of</strong> the Rashba spin-splitting <strong>is</strong> investigated together with the<br />

magnetic an<strong>is</strong>otropy and magnetic properties <strong>of</strong> the system. Since lattice m<strong>is</strong>match between such involved interface materials <strong>is</strong><br />

huge (more than 12%) it could has dramatic influence on Rashba effect. To investigate th<strong>is</strong>, calculations have been performed for<br />

large supercells with different density <strong>of</strong> involved elements, reducing the lattice m<strong>is</strong>match to less than 1%. Finally implications in<br />

terms <strong>of</strong> Rashba torque and Dzyaloshinskii-Moriya interaction will be d<strong>is</strong>cussed.<br />

19


Two and three terminal<br />

non-volatile spintronics devices<br />

for VLSI applications<br />

Hideo Ohno 1,2,3<br />

1 Center for <strong>Spintronics</strong> Integrated Systems, Tohoku University,<br />

2 Laboratory for Nanoelectronics and <strong>Spintronics</strong>, Research Institute <strong>of</strong> Electrical Communication, Tohoku University<br />

3 WPI-Advanced Institute for Materials Research, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai 980-8577, Japan.<br />

I start by explaining the reason why t<strong>here</strong> <strong>is</strong> now a huge interest in the VLSI community on spintronics devices. Next I review the<br />

current status <strong>of</strong> two terminal device, magnetic tunnel junction. Then, the need for three terminal switching devices that can<br />

separate the write and read current paths particularly for logic applications <strong>is</strong> d<strong>is</strong>cussed along with two possible three terminal<br />

device implementations; domain wall and the spin Hall devices. Finally I show our results on a three terminal switching device with<br />

the channel based on an interconnection material Cu with Ir doping.<br />

20


Spin transfer torques in<br />

magnetic bilayers with strong<br />

spin orbit coupling<br />

Kyung-Jin Lee 1 , Hyun-Woo Lee 2 , Aurelien Manchon 3 , Paul M. Haney 4 , M. D. Stiles 4*<br />

1 Korea University, Department <strong>of</strong> Material Science & Engineering, South Korea<br />

2 PCTP and Department <strong>of</strong> Physics, Pohang University <strong>of</strong> Science and Technology, Korea<br />

3 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Saudi Arabia<br />

4 Center for Nanoscale Science and Technology, NIST, Gaithersburg, US<br />

‎*email <strong>of</strong> presenting author: mark.stiles@n<strong>is</strong>t.gov<br />

Current driven magnetic dynamics in ferromagnetic thin films on top <strong>of</strong> non-magnetic films with strong spin orbit coupling show<br />

strong current-induced torques. Several theoretical models have been proposed to explain these torques. In one model, the current<br />

flowing through the non-magnetic layer gives r<strong>is</strong>e to a spin Hall current, leading to a spin current incident on the interface<br />

between the two layers. Th<strong>is</strong> spin current causes spin transfer torques similar to those that are important in magnetic multilayers<br />

with current flowing perpendicular to the plane. Another model proposes a torque due to the spin-orbit coupling at the interface<br />

w<strong>here</strong> the inversion symmetry found in the bulk materials <strong>is</strong> broken. We model the spin transport with a semiclassical Boltzmann<br />

equation approach. Both torques are present in th<strong>is</strong> model and for reasonable parameter sets are largely independent <strong>of</strong> each<br />

other. We compute the dependence <strong>of</strong> the torques on the thickness <strong>of</strong> the layers and find that it <strong>is</strong> difficult to reproduce the large<br />

sensitivity to the thickness <strong>of</strong> the ferromagnetic layer as found in several experiments. Th<strong>is</strong> d<strong>is</strong>agreement indicates that structural<br />

or electronic properties are probably changing with the thickness <strong>of</strong> the films studied in experiments.<br />

21


Domain-wall depinning<br />

governed by the spin Hall effect<br />

Henk Swagten*, Pascal Haazen, Elena Murè, Jeroen Franken, Reinoud Lavrijsen,<br />

Bert Koopmans<br />

Department <strong>of</strong> Applied Physics, Eindhoven University <strong>of</strong> Technology<br />

Center for NanoMaterials and COBRA Research Institute,<br />

P.O. Box 513, 5600 MB Eindhoven, The Netherlands<br />

‎*email <strong>of</strong> presenting author:h.j.m.swagten@tue.nl<br />

Current induced domain wall motion (CIDWM) in perpendicular materials <strong>is</strong> believed to be very efficient. In th<strong>is</strong> work, we will show<br />

that the Spin Hall effect (SHE) [1,2] provides a radically new mechan<strong>is</strong>m for CIDWM in these systems. Using focused-ion-beam<br />

irradiation we are able to stabilize and pin two DWs in a Pt / Co / Pt nanowire. By depinning the DWs under the application <strong>of</strong> a<br />

perpendicular field as well as an injected charge current and in-plane magnetic field, we are able to d<strong>is</strong>entangle the contributions<br />

to DW motion originating from conventional spin transfer torques that act on magnetization gradients and from the hitherto<br />

unexplored Spin Hall effect torques [3].<br />

Data will be presented on the perpendicular depinning fields as a function <strong>of</strong> charge current for the two DWs <strong>of</strong> a single domain,<br />

with an in-plane field along the current direction. The fact that we find equal slopes for the depinning field versus current for both<br />

DWs, as well as a sign change <strong>of</strong> the slope when we change the polarity <strong>of</strong> the DWs, clearly indicates the dominance <strong>of</strong> the SHE<br />

contribution. To further pro<strong>of</strong> that the SHE <strong>is</strong> dominating the depinning process, we have tuned the internal spin structure <strong>of</strong> the<br />

DW (from Bloch to Néel) by varying the in-plane field parallel to the current, and find that the influence <strong>of</strong> current on the<br />

depinning <strong>is</strong> highest when the DW has the Néel structure, while it <strong>is</strong> virtually absent in the Bloch case. Th<strong>is</strong> behavior <strong>is</strong> verified by<br />

macrospin simulations as well as by measurements <strong>of</strong> the DW res<strong>is</strong>tance at variable in-plane magnetic field.<br />

As a final evidence for the dominance <strong>of</strong> the SHE, we have varied the thickness <strong>of</strong> the bottom and top Pt, by which we are able to<br />

tune the spin Hall currents originating from the nonmagnetic Pt layers. Indeed, the slope <strong>of</strong> the depinning field versus current <strong>is</strong><br />

changing sign when we change Pt (4 nm) / Co (0.5 nm) / Pt (2 nm) to an inverted stack <strong>of</strong> Pt (2 nm) / Co (0.5 nm) / Pt (4 nm), and<br />

van<strong>is</strong>hes for Pt (3 nm) / Co (0.5 nm) / Pt (3 nm) when the spin Hall currents effectively cancel.<br />

[1] I. M. Miron et al., Nature 476, 189 (2011).<br />

[2] L. Liu et al., Science 336, 555 (2012).<br />

[3] P.P.J. Haazen et al., Nature Materials, in press (2013).<br />

22


Compar<strong>is</strong>on <strong>of</strong> current induced<br />

torques in various magnetic wires<br />

Hyunsoo Yang<br />

1 Department <strong>of</strong> Electrical and Computer Engineering, National University <strong>of</strong> Singapore, Singapore<br />

‎*email <strong>of</strong> presenting author:eleyang@nus.edu.sg<br />

Recently, a novel method to manipulate magnetization by in-plane current injection via the spin-orbit coupling in metal/<br />

ferromagnetic/oxide trilayers has been reported and gained great interests. We have studied current-induced torques in<br />

ferromagnetic nanowires made <strong>of</strong> Co/Pd multilayers, Pt/CoFeB/MgO, and Ta/CoFeB/MgO with a perpendicular magnetic an<strong>is</strong>otropy.<br />

In case <strong>of</strong> Co/Pd multilayers, using Hall voltage measurements and lock-in characterization, it <strong>is</strong> found that upon injection <strong>of</strong> an<br />

electric current in a uniformly magnetized sample, both in-plane (Slonczewski-like) and perpendicular (field-like) torques build up<br />

in the nanowire. The ratio between the torques <strong>is</strong> found to be between 1 and 2, and the total torque has an effective field <strong>of</strong><br />

~ 250 Oe/mA . We theoretically show that th<strong>is</strong> observation cannot be explained solely by spin Hall effect-induced torque, indicating<br />

a probable contribution <strong>of</strong> band-structure related spin-orbit torques. In case <strong>of</strong> Pt/CoFeB/MgO in-plane torque dominates, while<br />

both in-plane and perpendicular torques coex<strong>is</strong>t in Ta wires. The role <strong>of</strong> multilayer structures will be d<strong>is</strong>cussed as well.<br />

23


First principles calculations<br />

<strong>of</strong> current-induced torques<br />

in magnetic bilayers<br />

Paul Haney 1 , Mark Stiles 1 , Kyung-Jin Lee 2 , Hyun-Woo Lee 3 , Aurelien Manchon 4<br />

1 Center for Nanoscale Science and Technology, NIST, Gaithersburg, US<br />

2 Korea University, Department <strong>of</strong> Material Science & Engineering, South Korea<br />

3 PCTP and Department <strong>of</strong> Physics, Pohang University <strong>of</strong> Science and Technology, Korea<br />

4 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Saudi Arabia<br />

Current-induced torques on magnetic systems can be driven by spin-orbit coupling. Experiments on thin films with a Co layer<br />

deposited on a heavy metal layer (e.g. Pt, Ta) demonstrate that these spin-orbit torques are substantial, and depend strongly on<br />

system parameters such as the Co film thickness. To elucidate the origin and properties <strong>of</strong> these torques, we perform 1 st -principles<br />

calculations <strong>of</strong> the Rashba-like spin-orbit coupling and resulting “field-like” current-induced torque present at a X-Co interface<br />

(X=Cu, Ag, Au, Pt). The magnitude <strong>of</strong> th<strong>is</strong> torque shows nontrivial angular dependence, and <strong>is</strong> also very sensitive to the thickness<br />

<strong>of</strong> the Co layer. The Co thickness dependence can be understood using a tight-binding model in the current-perpendicular to plane<br />

geometry. We also briefly d<strong>is</strong>cuss the calculation <strong>of</strong> spin hall currents in the context <strong>of</strong> the Landauer formal<strong>is</strong>m.<br />

24


Piezo-electric control <strong>of</strong> the<br />

mobility <strong>of</strong> a domain wall<br />

driven by adiabatic and<br />

non-adiabatic torques<br />

E. De Ranieri 1 , P. E. Roy 1 , D. Fang 1,2 , E. K. Vehsthedt 3,4 , A. C. Irvine 2 , D. He<strong>is</strong>s 2 ,<br />

A. Casiraghi 5 , R. P. Campion 5 , B. L. Gallagher 5 , T. Jungwirth 3,5 , and J. Wunderlich 1,3 *<br />

1 Hitachi Cambridge Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE, UK<br />

2 Microelectronics <strong>Group</strong>, Cavend<strong>is</strong>h Laboratory, University <strong>of</strong> Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, UK<br />

3 Institute <strong>of</strong> Physics ASCR, v.v.i., Cukrovarnicka' 10, 162 53 Praha 6, Czech Republic<br />

4 Department <strong>of</strong> Physics, Texas A&M University, College Station, TX 77843-4242, US<br />

5 School <strong>of</strong> Physics and Astronomy, University <strong>of</strong> Nottingham, Nottingham NG7 2RD, UK<br />

‎*email <strong>of</strong> presenting author: jw526@cam.ac.uk<br />

Rich internal degrees <strong>of</strong> freedom <strong>of</strong> magnetic domain walls make them an attractive com- plement to electron charge for exploring<br />

new concepts <strong>of</strong> storage, transport, and processing <strong>of</strong> information. [1–3] We utilize the tunable internal structure <strong>of</strong> a domain wall<br />

in perpendicularly magnetized GaMnAsP/GaAs ferromagnetic semiconductor and demon- strate devices in which piezo-electrically<br />

controlled magnetic an<strong>is</strong>otropy yields up to 500% mobility variations for an electrical-current driven domain wall. [4–6] We<br />

observe current in- duced domain wall motion in both the steady state and precessional regimes [7] and report a direct observation<br />

<strong>of</strong> the Walker breakdown separating the two regimes with different mobilities. The piezo-electric control <strong>of</strong> the domain wall<br />

mobility <strong>is</strong> realized by controlling the Walker breakdown critical current. Our work demonstrates that in spin-orbit coupled<br />

ferromagnets with weak extrinsic domain wall pinning, the piezo-electric control allows to experimentally assess the character<strong>is</strong>tic<br />

ratio <strong>of</strong> adiabatic and non-adiabatic spin transfer torques in the current driven domain wall motion. [8]<br />

[1] Chappert, C., Fert, A. & Dau, F. N. V., Nature Mat. 6, 813 (2007).<br />

[2] Parkin, S. S. P., Hayshi, M. & Thomas, Science 320, 190 (2008).<br />

[3] Allwood, D. A. et al., Science 309, 1688 (2005).<br />

[4] Berger, J. Appl. Phys. 55, 1954 (1984).<br />

[5] Freitas, P. P. & Berger, J. Appl. Phys. 57, 1266 (1985).<br />

[6] Yamaguchi, A. et al., Phys. Rev. Lett. 92, 077205 (2004).<br />

[7] Mougin, A., Cormier, M., Adam, J. P., Metaxas, P. J. & Ferre, EPL 78, 57007 (2007).<br />

[8] D. Ralph and M. Stiles and S. Bader, J. Magn. Magn. Mater. 320, 1189 (2008).<br />

25


Current driven domain wall<br />

dynamics controlled by proximity<br />

induced interface magnetization<br />

Stuart Parkin<br />

IBM Almaden Research Center, San Jose, Californjia, US<br />

‎stuart.parkin@us.ibm.com<br />

Ultra-thin perpendicularly magnetized nanowires are the ideal medium for high-density memory and logic devices based on<br />

magnetic domain walls. Recently it has been reported that domain walls can be driven by current at very high speed in such<br />

nanowires[1]. The high velocity and the direction <strong>of</strong> motion <strong>of</strong> the domain walls are incons<strong>is</strong>tent with conventional theories based<br />

on transfer <strong>of</strong> spin angular momentum from the current. Here we show in nanowires formed from atomically thin Co and Ni layers<br />

that interfaces with specific metal layers control both the speed and direction <strong>of</strong> the domain walls[2]. These layers are formed from<br />

non-magnetic metals, namely Pt, Pd and Ir, which become magnetic in proximity to strong ferromagnets. When the induced<br />

moment <strong>is</strong> suppressed by the insertion <strong>of</strong> atomically thin Au layers the domain walls are considerably slowed. We show that the<br />

mechan<strong>is</strong>m driving the domain walls derives from the intertwined phenomena <strong>of</strong> spin Hall currents in the non-magnetic layers<br />

and a Dzialoshinskii-Moriya interaction at the cobalt- non-magnetic interface that fixes the chirality <strong>of</strong> the domain walls[3][4].<br />

[1] K.-S. Ryu, L. Thomas, S.-H. Yang, S.S.P. Parkin, Appl. Phys. Expr. 5 (2012) 093006.<br />

[2] K.-S. Ryu, S.-H. Yang, L. Thomas, S.S.P. Parkin, preprint (2012).<br />

[3] L. Thomas, K.-S. Ryu, S.-H. Yang, S.S.P. Parkin, preprint (2013).<br />

[4] K.-S. Ryu, S.-H. Yang, L. Thomas, A. Manchon and S.S.P. Parkin (2013).<br />

26


Light–induced magnetization<br />

reversal <strong>of</strong> high-an<strong>is</strong>otropy TbCo<br />

alloy films<br />

Sabine Alebrand 1 , Matthias Gottwald 2,3 , Michel Hehn 2 , Daniel Steil 1 , Mirko<br />

Cinchetti 1 , Daniel Lacour 2 , Martin Aeschlimann1, Stéphane Mangin 2 ,<br />

Yeshaiahu Fainman 3 , and Eric Fullerton 3 *<br />

1 Department <strong>of</strong> Physics and Research Center OPTIMAS, University <strong>of</strong> Ka<strong>is</strong>erslautern, D-67663 Ka<strong>is</strong>erslautern, Germany<br />

2 Institut Jean Lamour UMR CNRS 7198– Université de Lorraine, Vandoeuvre-lès-Nancy, France<br />

3 Center <strong>of</strong> Magnetic Recording Research, University <strong>of</strong> California San Diego, CA, US<br />

‎*email <strong>of</strong> presenting author: efullerton@ucsd.edu<br />

Magnetization reversal using circularly polarized light provides a way to<br />

control magnetization without any external magnetic field and has the<br />

potential to revolutionize magnetic data storage. However, in order to reach<br />

ultra-high-density data storage, high an<strong>is</strong>otropy media providing thermal<br />

stability are needed. Here, we describe all-optical magnetization switching<br />

for different Tb x Co 1-x ferrimagnetic alloy compositions with an<strong>is</strong>otropy fields<br />

reaching 6 T corresponding to an<strong>is</strong>otropy constants <strong>of</strong> 3x106 ergs/cm 3 . Th<strong>is</strong><br />

an<strong>is</strong>otropy value would enable sub 10-nm patterned <strong>is</strong>lands that are<br />

thermally stable. Using either a ps-laser (wavelength <strong>of</strong> 532 nm, FWHM at<br />

sample position ~ 10 ps) or a fs-laser (wavelength <strong>of</strong> 780 nm, FWHM at<br />

sample position ~ 400 fs) we observed reversible all-optical switching <strong>of</strong> the<br />

films with changing circular polarization (Fig. 1). However, we only observe<br />

all-optical magnetization switching in Tb x Co 1-x ferrimagnetic alloy films for<br />

a certain composition range. Th<strong>is</strong> composition range corresponds to the<br />

particular one for which the compensation temperature <strong>is</strong> between room<br />

temperature and the Curie temperature. We will d<strong>is</strong>cuss the relevance <strong>of</strong><br />

these results for the microscopic understanding and potential applications<br />

<strong>of</strong> all optical switching.<br />

[1] S. Alebrand et al., Appl. Phys. Lett. 101, 162408 (2012).<br />

Figure 1: (a): Schematic <strong>of</strong> the optical switching setup. (b) and (c):<br />

Demonstration <strong>of</strong> AOS <strong>of</strong> a Tb 26 Co 74 film w<strong>here</strong> the laser pulse<br />

with fixed circular polarization was swept over the sample and<br />

stripe domains were written.<br />

27


Symmetry and magnitude<br />

<strong>of</strong> spin-orbit torques in<br />

ferromagnetic heterostructures<br />

Kevin Garello 1 , Ioan Mihai Miron 2 , Can Onur Avci 1 , Frank Freimuth 3 ,<br />

Yuriy Mokrousov 3 , Stefan Blügel 3 , Stéphane Auffret 2 , Olivier Boulle,<br />

Gilles Gaudin 2 , and Pietro Gambardella 1,4,5<br />

1 Catalan Institute <strong>of</strong> Nanotechnology (ICN), E-08193 Barcelona, Spain<br />

2 SPINTEC, UMR-8191, CEA/CNRS/UJF/GINP, INAC, F-38054 Grenoble, France<br />

3 Institut für Festkörperforschung and Institute for Advanced Simulation, Forschungszentrum Jülich, 52425 Jülich, Germany<br />

4 Departament de Física, Universitat Autonoma de Barcelona (UAB), E-08193 Barcelona, Spain<br />

5 Institució Catalana de Recerca i Estud<strong>is</strong> Avançats (ICREA), E-08010 Barcelona, Spain<br />

‎*email <strong>of</strong> presenting author: kevin.garello@icn.cat<br />

Current-induced spin torques are <strong>of</strong> great interest to manipulate the orientation <strong>of</strong> nanomagnets without applying external<br />

magnetic fields. They find direct application in non-volatile data storage and logic devices, and provide insight into fundamental<br />

processes related to the interdependence between charge and spin transport. Recent demonstrations <strong>of</strong> magnetization switching<br />

induced by in-plane current injection in ferromagnetic heterostructures [1] have drawn attention to a class <strong>of</strong> spin torques based<br />

on orbital-to-spin momentum transfer, which <strong>is</strong> alternative to pure spin transfer torque (STT) between noncollinear magnetic<br />

layers and amenable to more diversified device functions [1,2]. Due to the limited number <strong>of</strong> studies, however, t<strong>here</strong> <strong>is</strong> still no<br />

consensus on the symmetry, magnitude, and origin <strong>of</strong> spin-orbit torques (SOTs). Here we will report on the quantitative vector<br />

measurement <strong>of</strong> SOTs in Pt/Co/AlOx trilayers using harmonic analys<strong>is</strong> <strong>of</strong> the Hall Voltage as a function <strong>of</strong> the applied current and<br />

magnetization direction. Based on general space and time inversion symmetry arguments, we show that asymmetric heterostructures<br />

allow for two different SOTs having odd and even behavior with respect to magnetization reversal. We will present our experimental<br />

results, revealing a scenario that goes beyond simple models <strong>of</strong> the spin Hall and Rashba contributions to SOTs.<br />

[1] Miron, I. M., Garello, K., Gaudin, G., Zermatten, P.-J., Costache, M. V., Auffret, S., Bandera, S., Rodmacq, B., Schuhl, A. &<br />

Gambardella, P. Perpendicular switching <strong>of</strong> a single ferromagnetic layer induced by in-plane current injection Nature. 476,<br />

189-193 (2011).<br />

[2] Liu, L., Pai, C-F., Li, Y., Tseng, H. W., Ralph, D. C. & Buhrman, R. A. Spin torque switching with the giant spin Hall effect <strong>of</strong><br />

tantalum. Science. 336, 555-558 (2012).<br />

28


President’s D<strong>is</strong>tingu<strong>is</strong>hed V<strong>is</strong>iting Speaker<br />

Auditorium, Building 20<br />

<strong>Spintronics</strong>: a new frontier for<br />

computing and communications<br />

Albert Fert<br />

UMP CNRS/Thales, Pala<strong>is</strong>eau and Université Par<strong>is</strong>-Sud, Orsay, France<br />

Spin Electronics - or <strong>Spintronics</strong> – <strong>is</strong> <strong>of</strong>ten described as a new type <strong>of</strong> electronics exploiting the influence <strong>of</strong> the orientation <strong>of</strong> the<br />

electron spin* on the electrical conduction. The starting point was the d<strong>is</strong>covery <strong>of</strong> the “giant magnetores<strong>is</strong>tance” (GMR), a<br />

property <strong>of</strong> magnetic multilayers that <strong>is</strong> used today to read the hard d<strong>is</strong>c <strong>of</strong> our computer and has led to a large increase <strong>of</strong> the<br />

capacity <strong>of</strong> the d<strong>is</strong>cs. Nowadays spintronics <strong>is</strong> developing along many novel directions with a prom<strong>is</strong>ing perspective <strong>of</strong> applications,<br />

short term applications for next generations <strong>of</strong> computers or telephones and, in a longer term, devices to go beyond the limits <strong>of</strong><br />

conventional semiconductor-based electronics.<br />

After an introduction on the fundamentals <strong>of</strong> spintronics, I will review some <strong>of</strong> the most interesting emerging research directions.<br />

The spin transfer phenomena will be applied soon in new types <strong>of</strong> non-volatile memories called STT-RAM (with a significant<br />

reduction <strong>of</strong> the energy consumption in computers) and also to devices for radio-wave generation in telecommunications.<br />

<strong>Spintronics</strong> with carbon-based materials like graphene or carbon nanotubes <strong>is</strong> foreseen to be the bas<strong>is</strong> <strong>of</strong> new types <strong>of</strong> logic<br />

circuits in the beyond-silicon perspective. The study <strong>of</strong> neuromorphic devices for bio-inspired computing <strong>is</strong> another exciting novel<br />

direction <strong>of</strong> research.<br />

* The spin can be described as a small magnet carried by each electron<br />

29


<strong>Theory</strong> <strong>of</strong> Spin-Orbit Induced<br />

Torques<br />

Zhenhua Qiao 1 and Allan MacDonald 1*<br />

1 Physics Department, University <strong>of</strong> Texas at Austin, US<br />

‎*email <strong>of</strong> presenting author: macd@physics.utexas.edu<br />

Current induced torques in magnetic systems can be understood [1] quite generally in terms <strong>of</strong> the difference between equilibrium<br />

and the transport steady state in the spin-density induced by a given exchange potential. We apply th<strong>is</strong> point <strong>of</strong> view to torques<br />

exerted on the moments <strong>of</strong> a ferromagnetic thin film placed on the surface <strong>of</strong> a paramagnetic conductor with strong spin-orbit<br />

interactions. We will report on a numerical non-equilibrium Greens function study <strong>of</strong> model transition metals which aims i) to<br />

identify system parameters that can be adjusted to maximize current-induced torques, and ii) to critically analyze the degree to<br />

which the torques can be understood solely in terms <strong>of</strong> spin-accumulation due to the spin Hall effect <strong>of</strong> the paramagnetic metal.<br />

[1] A.S. Nunez and A.H. MacDonald, Solid State Commun. 139, 31 (2006).<br />

30


Spin-orbit ferromagnetic<br />

resonance<br />

D. Fang 1 , H. Kurebayashi 1 , T. D. Skinner 1 , C. Ciccarelli 1 , J. Wunderlich 2,3 ,<br />

K. Výborný 2† , L. P. Zârbo 2 , R. P. Campion 4 , A. Casiraghi 4 , B. L. Gallagher 4 ,<br />

T. Jungwirth 2,4 and A. J. Ferguson 1*<br />

1 Cavend<strong>is</strong>h Laboratory, University <strong>of</strong> Cambridge, UK<br />

2Institute <strong>of</strong> Physics ASCR, Czech Republic<br />

3Hitachi Cambridge Laboratory, UK<br />

4School <strong>of</strong> Physics and Astronomy, University <strong>of</strong> Nottingham, UK<br />

†Present address: Department <strong>of</strong> Physics, State University <strong>of</strong> New York at Buffalo, US<br />

‎*email <strong>of</strong> presenting author: ajf1006@cam.ac.uk<br />

In conventional magnetic resonance techniques the magnitude and direction <strong>of</strong> the oscillatory magnetic field are (at least<br />

approximately) known. Th<strong>is</strong> oscillatory field <strong>is</strong> used to probe the properties <strong>of</strong> a spin ensemble. Here, I will describe experiments<br />

that do the inverse [1]. I will d<strong>is</strong>cuss how we use a magnetic resonance technique to map out the current-induced effective<br />

magnetic fields in the ferromagnetic semiconductors (Ga,Mn)As and (Ga,Mn)(As,P).<br />

These current-induced fields have their origin in the spin-orbit interaction [2-4]. Effective magnetic fields are observed with<br />

symmetries which resemble the Dresselhaus and Rashba spin-orbit interactions and which depend on the diagonal and <strong>of</strong>f-diagonal<br />

strain respectively. Ferromagnetic semiconductor materials <strong>of</strong> different strains, annealing conditions and concentrations are<br />

studied and the results compared with theoretical calculations.<br />

Our original study measured the rectification voltage coming from the product <strong>of</strong> the oscillatory magnetores<strong>is</strong>tance, during<br />

magnetization precession, and the alternating current. More recently we have developed an impedance matching technique which<br />

enables us to extract microwave voltages from these high res<strong>is</strong>tance (10 kΩ) samples [5]. In th<strong>is</strong> way we measure the microwave<br />

voltage coming from the product <strong>of</strong> the oscillating magneto-res<strong>is</strong>tance and a direct current. The applied direct current <strong>is</strong> observed<br />

to affect the amplitude and phase <strong>of</strong> magnetization precession, indicating that anti-damping as well as field-like torques<br />

could be present.<br />

[1] D. Fang et al. Nat. Nano. 6, 413 (2011).<br />

[2] A. Chernyshov et al. Nat. Phys. 5, 656 (2009).<br />

[3] A. Manchon and S. Zhang Phys. Rev. B 79, 094422 (2009).<br />

[4] I. Garate and A. H. MacDonald Phys. Rev. B 80, 134403 (2009).<br />

[5] D. Fang et al. Appl. Phys. Lett. 101, 182402 (2012).<br />

31


Spin torques induced by spin-orbit<br />

coupling in ferromagnetic<br />

semiconductors<br />

Hang Li, Xuhui Wang, Fatih Dogan and Aurelien Manchon<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Physical Science and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia<br />

The manipulation and control <strong>of</strong> magnetization <strong>is</strong> an important topic due to its potential application for spintronic devices<br />

such as high density magnetic Memories.[1] Through spin transfer torque, spin polarized current acting on the localized<br />

spin in ferromagnet leads to a magnetization switching. Beside the spin transfer torque, the spin orbit torque in<br />

ferromagnetic semiconductor has been studied both by theory and experiment.[2,3] In contrast with spin transfer torque,<br />

the spin-orbit torque transfer the orbital angular momentum <strong>of</strong> carriers to the spin angular momentum <strong>of</strong> the local<br />

magnetization. The spin orbit coupling acts as an “effective magnetic field” and generates a nonequilibrium spin density<br />

that exert a torque on the magnetization.[2]<br />

Several experiments on magnetization switching in (Ga,Mn)As have provided strong indication on the spin torque induced<br />

by a Dresselhaus-type spin-orbit coupling, achieving critical switching currents as low as 106 A/cm2. The role <strong>of</strong> current,<br />

electric field and temperature has been studied. [3]<br />

The present study addresses the nature <strong>of</strong> SOC-torque in DMS in the framework <strong>of</strong> Luttinger Hamiltonian (GaMnAs,<br />

InMnAs, etc.). Based on kinetic-exchange model, the non-equilibrium spin transport in DMS <strong>is</strong> studied theoretically within<br />

the first-order Born approximation. Linear Dresselhaus SOC <strong>is</strong> examined and the angular dependence and magnitude <strong>of</strong> the<br />

SOC-torque are studied for a wide range <strong>of</strong> parameters. The role <strong>of</strong> the carrier concentration and shape <strong>of</strong> the Fermi<br />

surface are emphasized and experimental implications are d<strong>is</strong>cussed.<br />

[1] D. C. Ralph and M. D. Stile, J. Magn. Magn. Mat. 320 1190 (2008)<br />

[2] A. Manchon and S. Zhang, Phys. Rev. B 78, 212405 (2008); A. Manchon and S. Zhang, ibid, 79, 094422 (2009)<br />

[3] A. Chernyshov, M. Overby, X. Liu, J. K. Furdyna, Y. Lyanda-Geller, and L. P. Rokhinson, Nature Phys. 5, 656 (2009). M. Endo, F.<br />

Matsukura, and H. Ohno, Appl. Phys. Lett. 97, 222501 (2010). D. Fang, H. Kurebayashi, J. Wunderlich, K. Vyborny, L. P. Zarbo, R.<br />

P. Campion, A. Casiraghi, B. L. Gallagher, T. Jungwirth, and A. J. Ferguson, Nature Nanotech. 6, 413 (2011).<br />

32


Surface state driven spin-torque<br />

in topological-insulator/<br />

ferromagnetic-metal bilayers<br />

Mark F<strong>is</strong>cher 1* , Abolhassan Vaezi 1 , Aurelien Manchon 2 , Eun-Ah Kim 1<br />

1 Department <strong>of</strong> Physics, Cornell University, US<br />

2 Materials Science and Engineering, KAUST, Saudi Arabia<br />

‎*email <strong>of</strong> presenting author:mark.f<strong>is</strong>cher@cornell.edu<br />

We would like to present our latest findings on topological-insulator-surface-state driven spin-torque[1]. A hallmark <strong>of</strong> surface<br />

states in strong three-dimensional topological insulators (TI) <strong>is</strong> the helical spin texture. While t<strong>here</strong> have been proposals on<br />

exploiting th<strong>is</strong> spin texture for spintronics applications, they focused on TI / ferromagnetic-insulator (FI) structures predicting<br />

field-like torque due to spin accumulation. Motivated by recent spin-torque experiments on Pt / ferromagnetic-metal(FM)<br />

structures, we consider a TI / FM bilayer, w<strong>here</strong> the ferromagnetic polarization as well as the current driven through the system<br />

are in plane. While in general topological insulators have a conducting bulk, recent transport experiments showed that the main<br />

contribution to the current in thin films comes from two d<strong>is</strong>tinct surface states: the topological Dirac surface state and an<br />

additional two-dimensional electron gas with Rashba spin-orbit coupling. Based on th<strong>is</strong>, we consider spin torque in the TI-FI<br />

structure due to the two surface states. We find that each surface state leads to out-<strong>of</strong>-plane (field-like) torque due to spin<br />

accumulation in the presence <strong>of</strong> a current. Moreover, we find an in-plane torque due to spin diffusion into the FM, an effect absent<br />

in TI / FI structures. Interestingly, the two surface states contribute with opposite sign to the spin density. Th<strong>is</strong> allows for the<br />

experimental identification <strong>of</strong> the dominant source <strong>of</strong> spin torque based on its sign.<br />

[1] Mark F<strong>is</strong>cher et al, Surface state driven spin-torque in topological-insulator/ferromagnetic-metal bilayers,<br />

in preparation (2013).<br />

33


Angular dependence <strong>of</strong><br />

spin-orbit spin transfer torque<br />

Kyung-Jin Lee 1 *, M. D. Stiles 2 , and P. M. Haney 2<br />

1 Department <strong>of</strong> Materials Science and Engineering, Korea University, Korea<br />

2 Center for Nanoscale Science and Technology, National Institute <strong>of</strong> Standards and Technology, US<br />

‎*email <strong>of</strong> presenting author: kj_lee@korea.ac.kr<br />

Magnetocrystalline an<strong>is</strong>otropy ar<strong>is</strong>es from the modification <strong>of</strong> electron states by spin-orbit coupling and <strong>is</strong> determined by<br />

integrating over all occupied electron states. On the other hand, current-induced spin transfer torques ar<strong>is</strong>e from the changes in<br />

torques that ar<strong>is</strong>e from changes in electron populations in the presence <strong>of</strong> a current. In th<strong>is</strong> respect, spin transfer torques caused<br />

by spin-orbit coupling can be interpreted as current-induced corrections to the magnetic an<strong>is</strong>otropy. From th<strong>is</strong> perspective, we<br />

expect a close relationship between the magnetic an<strong>is</strong>otropy and spin-orbit spin torques. We theoretically study th<strong>is</strong> relationship<br />

between magnetic an<strong>is</strong>otropy and spin-orbit spin torque for a ferromagnet subject to Rashba spin-orbit coupling. For a<br />

two-dimensional free-electron model, we find that Rashba spin-orbit coupling results in perpendicular magnetic an<strong>is</strong>otropy and<br />

field-like current-induced spin transfer torques. Both quantities acquire nontrivial angular dependence as the spin-orbit coupling<br />

becomes comparable to the s-d exchange interaction. Th<strong>is</strong> nontrivial angular dependence can be understood from Fermi surface<br />

d<strong>is</strong>tortion. In the limits w<strong>here</strong> either the spin-orbit coupling or the s-d exchange interaction <strong>is</strong> much greater than the other, the<br />

Fermi surface cons<strong>is</strong>ts <strong>of</strong> two concentric circles, but when they are comparable it d<strong>is</strong>torts. These free-electron calculations are in<br />

qualitative agreement with ab initio calculations for Co|Pt bilayers, suggesting that the spin-orbit coupling at the interface <strong>is</strong><br />

non-negligible in compar<strong>is</strong>on to the s-d exchange interaction t<strong>here</strong>. The nontrivial angular dependence <strong>of</strong> spin-orbit spin torque<br />

may be used as an indicator <strong>of</strong> strong interfacial spin-orbit coupling, because the spin-orbit spin torque that <strong>is</strong> induced by the spin<br />

Hall effect, has a simple sinθ dependence w<strong>here</strong> θ <strong>is</strong> the angle between the magnetization and the spin injected into a ferromagnet.<br />

34


Designing Rashba<br />

spin torque devices<br />

Chr<strong>is</strong>tian Ortiz Pauyac 1 , Xuhui Wang 1 , and Aurelien Manchon 1<br />

1 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Physical Science and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia<br />

In an ultrathin ferromagnetic film, the interplay between a Rashba spin-orbit coupling and an exchange field gives r<strong>is</strong>e to a Rashba<br />

spin torque. Using Keldysh technique, in the presence <strong>of</strong> both magnet<strong>is</strong>m and spin-orbit coupling, we derive a spin diffusion<br />

equation that provides a co<strong>here</strong>nt description to the diffusive spin dynamics in a real<strong>is</strong>tic device element. We investigate first the<br />

diffusive Rashba spin torque - and the spin density - in two regimes (weak and strong Rashba couplings) when the Rashba induced<br />

field <strong>is</strong> perpendicular to the exchange field, as well as the transition between both regimes.<br />

Second, we focus on the Rashba spin torque as a function <strong>of</strong> magnetization orientation. In the first case we find that the spin<br />

torque cons<strong>is</strong>ts <strong>of</strong> two components, originally called in-plane and out-<strong>of</strong>-plane spin torques, the first- (second-) one decreases<br />

(increases) as we move from the weak Rashba to strong Rashba regime. In the second case the impact <strong>of</strong> diffusion reveal the<br />

ex<strong>is</strong>tence <strong>of</strong> a non-van<strong>is</strong>hing torque even when the magnetization and effective Rashba field are aligned. Th<strong>is</strong> allows us to<br />

reconsider the spin torque components in spherical bas<strong>is</strong> and we find that they oscillate as the magnetization direction changes<br />

and such oscillation phases out as the device size increases in the weak Rashba regime, w<strong>here</strong>as it remains sizable in the strong<br />

Rashba regime. These findings are in agreement with very recent experiments.<br />

35


Spin-orbit Torques in<br />

Ferromagnetic Thin Films<br />

I. M. Miron 1 , K. Garello 2 , E. Jué1, G. Gaudin 1 , P.-J. Zermatten 1 , M. V. Costache 2 ,<br />

S. Auffret 1 , S. Bandiera 1 , B. Rodmacq 1 , J. Vogel 5 , S. Pizzini 5 , A. Schuhl 5 ,<br />

and P. Gambardella 2,3,4<br />

1 SPINTEC, UMR-8191, CEA/CNRS/UJF/GINP, INAC, Grenoble, France<br />

2 Catalan Institute <strong>of</strong> Nanotechnology (ICN-CIN2), Barcelona, Spain<br />

3 Departament de Física, Universitat Autonoma de Barcelona (UAB), Barcelona, Spain<br />

4 Institució Catalana de Recerca i Estud<strong>is</strong> Avançats (ICREA), Barcelona, Spain<br />

5 Néel Institute CNRS Grenoble, France<br />

Materials with large coercivity and perpendicular magnetic an<strong>is</strong>otropy represent the mainstay data storage media, thanks to their<br />

ability to retain a stable magnetization state over long periods <strong>of</strong> time and their compliance with increasing miniaturization steps.<br />

A major concern <strong>is</strong> that the same an<strong>is</strong>otropy properties that make a material attractive for storage also make it hard to write.<br />

We address th<strong>is</strong> <strong>is</strong>sue by investigating novel spin torque mechan<strong>is</strong>ms based on spin-orbit effects. It <strong>is</strong> well known that spin-orbit<br />

coupling <strong>is</strong> ultimately responsible for magnetocrystalline an<strong>is</strong>otropy and damping. Under certain conditions, however, spin-orbit<br />

effects might either induce [1,2,3] or enhance [4,5] specific spin torque mechan<strong>is</strong>ms.<br />

We show that in materials lacking inversion symmetry, the spin accumulation induced by the current creates torques on the<br />

magnetization. We analyze the expected symmetry <strong>of</strong> these torques in uniformly magnetized layers as well as magnetic domain<br />

walls, and evidence experimentally their ex<strong>is</strong>tence in agreement with symmetry arguments.<br />

[1] A. Manchon and S. Zhang, PRB 78 212405 (2008).<br />

[2] I.M. Miron et al. Nature Materials 9, 230-234 (2010)<br />

[3] I.M. Miron et al. Nature 476, 189-193 (2011)<br />

[4] I.M. Miron et al. PRL 102, 137202 (2009)<br />

[5] I.M. Miron et al. Nature Materials 10, 419 (2011).<br />

36


Scattering theory <strong>of</strong><br />

current-induced<br />

magnetization dynamics<br />

Kjetil M. D. Hals 1 *, Arne Brataas 1 , Yaroslav Tserkovnyak 2<br />

1 Department <strong>of</strong> Physics, Norwegian University <strong>of</strong> Science and Technology, NO-7491, Trondheim, Norway<br />

2 Department <strong>of</strong> Physics and Astronomy, University <strong>of</strong> California, Los Angeles, California 900095, US<br />

‎*email <strong>of</strong> presenting author: kjetil.hals@ntnu.no<br />

When a spin-polarized current traverses a ferromagnet, the spin-current component perpendicular to the magnetization direction<br />

<strong>is</strong> absorbed by the magnetic system. The absorbed angular momentum yields a spin-transfer torque (STT) on the magnetization. In<br />

systems w<strong>here</strong> spin-orbit coupling breaks the spatial inversion symmetry, t<strong>here</strong> <strong>is</strong> also a charge-current torque (CCT). The STT and<br />

CCT effects are respectively the reciprocal effects to spin-pumping and charge-pumping by a precessing magnetization. Onsager<br />

reciprocal relations relate the response coefficients for a process and its reciprocal process. We explain how one can use Onsager<br />

reciprocal relations to formulate a scattering theory <strong>of</strong> spin- and charge- current induced magnetization dynamics [1]. As an<br />

application <strong>of</strong> the formal<strong>is</strong>m, we study the CCT effect in a dirty, layered GaAs|(Ga,Mn)As|GaAs system and find magnetization<br />

switching for current-densities as low as 5*10^6 A/cm^2 [1].<br />

[1] Kjetil M. D. Hals, Arne Brataas, Yaroslav Tserkovnyak, Scattering <strong>Theory</strong> <strong>of</strong> Charge-Current Induced Magnetization Dynamics,<br />

Europhysics Letters 90, 47002 (2010).<br />

37


Spin-Hall nano-oscillators<br />

S. O. Demokritov 1 , H. Ulrichs 1 , V. E. Demidov 1 , S. Urazhdin 2 , V. Tiberkevich 3 , A. Slavin 3<br />

1 University <strong>of</strong> Muenster, Corrensstrasse 2-4, 48149 Muenster, Germany<br />

2 Emory University, Atlanta, GA 30322, US<br />

3 Department <strong>of</strong> Physics, Oakland University, Rochester, MI, US<br />

The interplay between spin transport and magnetization, a collective property <strong>of</strong> the electrons, plays a central role in spin-based<br />

electronic devices. The effect <strong>of</strong> spin current on the magnetic configuration results from the modification <strong>of</strong> the dynamical<br />

properties <strong>of</strong> nanomagnets by the spin transfer torque (STT). In particular, STT changes the effective magnetic damping.<br />

We use micro-focus Brillouin light scattering spectroscopy to study magnetic fluctuations in a Permalloy microd<strong>is</strong>c located on top<br />

<strong>of</strong> a Pt strip carrying an electric current. Magnetic dynamics in our nano-devices <strong>is</strong> driven by pure spin currents generated due to<br />

the spin Hall effect in the Pt electrode. We show that the fluctuations can be efficiently suppressed or enhanced by different<br />

directions <strong>of</strong> the electric current. Additionally, we find that the effect <strong>of</strong> spin current on magnetic fluctuations <strong>is</strong> strongly<br />

influenced by nonlinear magnon-magnon interactions, which prohibit auto-generation in th<strong>is</strong> geometry [1].<br />

Using a local injection <strong>of</strong> spin current by Pt into an extended Permalloy film and taking advantage <strong>of</strong> the radiational losses <strong>of</strong> spin<br />

waves, we demonstrate that above a certain current threshold, our device enters a single-mode co<strong>here</strong>nt auto-oscillation regime<br />

with the frequency <strong>of</strong> oscillation 5-10 GHz [2]. The corresponding strongly-localized dynamic mode with the diameter below100<br />

nanometers, has character<strong>is</strong>tics remin<strong>is</strong>cent <strong>of</strong> the nonlinear stationary spin-wave “bullet”[3]. Similar to conventional spin-torque<br />

nano-oscillators (STNO) the realized spin-Hall-effect nano-oscillator reperesents a tuneable microwave generator with a linewidth<br />

<strong>of</strong> about 10 MHz. Moreover, we show that it can be synchronized to the external microwave signal.<br />

Our findings suggest a route for the implementation <strong>of</strong> novel magnetic nano-oscillators that have significant advantages over<br />

STNOs, whose geometry and structure are limited by the requirement that the spin current <strong>is</strong> accompanied by the electric current<br />

flowing through the ferromagnet.<br />

[1] Demidov et al. Phys. Rev. Lett. 107, 107204 (2011).<br />

[2] Demidov et al. Nature Materials 11, 1028 (2012).<br />

[3] Slavin, A. & V. Tiberkevich, Phys. Rev. Lett. 95, 237201 (2005).<br />

38


Poster Presentations<br />

39


Quantum spin hall effect,<br />

valley hall effect, and<br />

topological insulator phase<br />

transitions in silicone<br />

M. Tahir*, A. Manchon, and U. Schwingenschlogl<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Physical Science and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia‎<br />

*email <strong>of</strong> presenting author: Muhammad.tahir@kaust.edu.sa<br />

We demonstrate theoretically the realization <strong>of</strong> quantum spin and quantum valley Hall effects in silicene [1]. We show that<br />

combination <strong>of</strong> electric field and intrinsic spin-orbit interaction leads to quantum phase transitions from a two dimensional<br />

topological insulator to a trivial insulating state. They are accompanied by a quenching <strong>of</strong> the quantum spin Hall effect and the<br />

onset <strong>of</strong> a valley Hall effect, providing a tool to experimentally tune the topological state <strong>of</strong> silicene. In contrast to graphene and<br />

other conventional topological insulators, the proposed effects in silicene are accessible to experiments.<br />

[1] M. Tahir, A. Manchon, K. Sabeeh, and U. Schwingenschlogl, arXiv:1206.3650.<br />

40


Interplay <strong>of</strong> magnetization<br />

dynamics and pure spin currents<br />

Henning Ulrichs, V. E. Demidov, S. O. Demokritov<br />

University <strong>of</strong> Muenster, Corrensstrasse 2-4, 48149 Muenster, Germany<br />

S. Urazhdin<br />

Emory University, Atlanta, GA 30322, US<br />

In high-frequency spintronic devices, spin transfer torque (STT) phenomena<br />

allow to enrich conventional electronics with functionalities based on<br />

dynamic magnetization. In th<strong>is</strong> poster we present in detail our recent<br />

experimental studies [1-4] on the subject, done by micro-focus Brillouin light<br />

scattering spectroscopy (BLS). BLS allows frequency-, spatial-, and timeresolved<br />

measurements <strong>of</strong> dynamic magnetization, providing the most<br />

complete picture experimentally available.<br />

In the first series <strong>of</strong> experiments [1-3] we investigated Permalloy (Py)<br />

microd<strong>is</strong>cs on top <strong>of</strong> a Pt strip, which serves as a conductor for dc electric<br />

current. Due to the Spin-Hall effect in the Pt electrode, a transverse spin<br />

current <strong>is</strong> generated and exerts a spin transfer torque on the adjacent Py d<strong>is</strong>c.<br />

Studying the effect <strong>of</strong> pure spin currents on thermal magnetic fluctuations,<br />

we show that they can be controllably enhanced or suppressed [1] (see Figure 1a).<br />

The Pt electrode can also carry microwave currents, whose dynamic magnetic<br />

field drives the Py d<strong>is</strong>c into Ferromagnetic Resonance (FMR). We demonstrate<br />

that when adding dc currents in th<strong>is</strong> situation, the resulting STT can be<br />

utilized for a wide-range control <strong>of</strong> the effective magnetic damping [2].<br />

Depending on the sign <strong>of</strong> the current flow, damping <strong>is</strong> either increased or<br />

decreased, deviating significantly from the value at zero current (see Figure<br />

2a). For practical application th<strong>is</strong> effect can be utilized for creation <strong>of</strong> tunable<br />

microwave-filters combining a narrow line width with a high agility.<br />

STT caused by spin current can also be used for stimulation and electric<br />

control <strong>of</strong> nonlinear dynamic phenomena such as parametric spin-wave<br />

instability. For th<strong>is</strong> we applied microwave currents at twice the FMR<br />

frequency. Without the help <strong>of</strong> the spin currents, the threshold <strong>of</strong> the<br />

parametric pumping caused by the natural damping <strong>is</strong> too high. However, by<br />

means <strong>of</strong> the pure spin current, the effective damping and as a consequence<br />

the threshold can be controllably shifted down, so that the parametric<br />

instability can be observed [3] (see Figure 2b).<br />

Fig. 1 (a) Enhancement and suppression <strong>of</strong> thermal magnetic<br />

fluctuations in a device with non-local injection <strong>of</strong> the spin<br />

current (b) Transition to auto-oscillation regime via formation <strong>of</strong><br />

a new self-localized “bullet” mode in a device with local spincurrent<br />

injection. Inset shows a measured spatial map <strong>of</strong> the<br />

self-localized mode. For illustration purposes, one quarter <strong>of</strong> the<br />

structure <strong>is</strong> left out in the schematics. Red arrows indicate the<br />

current flow.<br />

Fig. 2 (a) Wide-range control <strong>of</strong> the effective Gilbert damping<br />

parameter by pure spin current in a layered system Py/Cu/Pt. (b)<br />

Stimulation <strong>of</strong> the parametric spin-wave instability and control <strong>of</strong><br />

its threshold power by pure spin current.<br />

In the device geometry considered so far, the spin current was injected into Py uniformly. In th<strong>is</strong> case, we found that interaction <strong>of</strong><br />

the auto-oscillating mode with short-wavelength spin-wave modes inhibits the onset <strong>of</strong> auto-oscillations.<br />

To overcome th<strong>is</strong> problem, we utilized a spatially confined spin current injection using a special design <strong>of</strong> the electrodes (see Figure<br />

1b) [4]. Here, the electric current flows through the Pt layer in the gap between the electrodes. As a result the spin current and<br />

the corresponding STT acts on Py only locally. Short-wavelength spin wave modes now suffer from radiation losses, and t<strong>here</strong>fore<br />

cannot suppress the auto-oscillations, which now appear when the current exceeds a certain threshold. We have found<br />

experimentally, that the corresponding mode has spatial dimensions below 100 nanometers, <strong>is</strong> highly co<strong>here</strong>nt (line width about<br />

10 MHz), and tunable in frequency (5-10 GHz) by means <strong>of</strong> the external magnetic field.<br />

While the basic features <strong>of</strong> th<strong>is</strong> device resemble conventional spin-torque nano-oscillators, it has the practical advantage, that no<br />

transverse flow <strong>of</strong> real electric current through the ferromagnet <strong>is</strong> necessary. Furthermore, the all planar geometry allows optical<br />

access to the active area, enabling direct study <strong>of</strong> the physics <strong>of</strong> STT phenomena.<br />

[1] Demidov et al. Phys. Rev. Lett. 107, 107204 (2011).<br />

[2] Demidov et al. Appl. Phys. Lett. 99, 172501 (2011).<br />

[3] Edwards et al. Phys. Rev. B 86, 134420 (2012).<br />

[4] Demidov et al. Nature Materials 11, 1028 (2012).<br />

41


Current-induced domain-walls<br />

motion in presence <strong>of</strong> spin-orbit<br />

torque in Pt/Co/AlOx trilayers<br />

E. Jue<br />

SPINTEC, UMR-8191, CEA/CNRS/UJF/GINP, INAC, F-38054 Grenoble, France<br />

Current-induced domain-wall (CIDW) motion through the spin-transfer<br />

torque (STT) has attracted a lot <strong>of</strong> attention in recent years. Besides its<br />

potential applications to magnetic data storage th<strong>is</strong> mechan<strong>is</strong>m shows a<br />

wealth <strong>of</strong> remarkable physical phenomena.<br />

CIDW motion in structures <strong>of</strong> inversion asymmetry (SIA) like Pt/Co/AlOx<br />

trilayers has shown to be much more complex than a standard description<br />

involving only the adiabatic and non-adiabatic terms (NA) <strong>of</strong> the STT. The<br />

enhancement <strong>of</strong> the spin-orbit (SO) interaction due to the SIA results for<br />

example in a large increase <strong>of</strong> the STT efficiency [1] and gives r<strong>is</strong>e to a<br />

transverse effective magnetic field Heff resulting from both the Rashba effect<br />

and the s-d exchange interaction [2]. These two effects modify considerably<br />

the DW dynamics: the high mobility regime generated by the large NA term<br />

<strong>is</strong> extended to high current density by the stabilizing effect <strong>of</strong> Heff which<br />

prevents the DW transformations [3].<br />

Fig. 1 DW mobility as a function <strong>of</strong> a transverse magnetic field.<br />

Th<strong>is</strong> description <strong>is</strong> still incomplete since it does not take into account the<br />

influence <strong>of</strong> a strong spin orbit torque (SOT) whose ex<strong>is</strong>tence has been<br />

experimentally demonstrated recently [4,5]. Due to its symmetry, th<strong>is</strong> SOT acts<br />

as an effective field oriented along the easy ax<strong>is</strong> for the magnetization inside<br />

the DW. Thus, its influence can not be easily d<strong>is</strong>tingu<strong>is</strong>hed from that <strong>of</strong> the NA<br />

torque in simple velocity measurements.<br />

In th<strong>is</strong> presentation, we show that the SOT modifies qualitatively and<br />

quantitatively the DW dynamics. In order to highlight its effect, we studied the<br />

DW motion induced by a current in the presence <strong>of</strong> a transverse magnetic field<br />

HT in Pt/Co/AlOx wires.<br />

Instead <strong>of</strong> observing two d<strong>is</strong>tinct regimes <strong>of</strong> mobility as we could expect<br />

considering that HT simply competes with Heff, we observe a continuous<br />

change <strong>of</strong> the DW velocity with HT. Moreover the DW mobility increases<br />

linearly with HT (fig 1). We explain our results taking into account STT as well<br />

as Heff and SOT.<br />

Besides the possibility <strong>of</strong> modulating continuously the DW mobility, our results<br />

highlight the important role <strong>of</strong> the SO interaction on DW dynamics.<br />

[1] I. M. Miron et al., Phys. Rev. Lett. 102, 137202 (2009).<br />

[2] I. M. Miron et al., Nature Materials, 9, 230–234 (2010).<br />

[3] I. M. Miron et al., Nature Materials, 10, 419–423 (2011).<br />

[4] I. M. Miron et al., Nature 476, 189 (2011).<br />

[5] L. Liu et al., Science 336, 555 (2012).<br />

42


Ge-intercalated graphene:<br />

The origin <strong>of</strong> the p-type to<br />

n-type transition<br />

U. Schwingenschlögl, T. P. Kaloni*<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Physical Science and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia<br />

‎*email <strong>of</strong> presenting author: thaneshwor.kaloni@kaust.edu.sa<br />

We would like to present our latest findings on Ge-intercalated graphene on SiC(0001) [1]. Recently huge interest has been<br />

focussed on Ge-intercalated grapheme [2]. In order to address the effect <strong>of</strong> Ge on the electronic structure, we study Ge-intercalated<br />

free-standing C 6 and C 8 bilayer graphene, bulk C 6 Ge and C 8 Ge, as well as Ge-intercalated graphene on a SiC(0001) substrate, by<br />

density functional theory. In the presence <strong>of</strong> SiC(0001), t<strong>here</strong> are three ways to obtain n-type graphene: i) intercalation between<br />

C layers; ii) intercalation at the interface to the substrate in combination with Ge deposition on the surface; and iii) cluster<br />

intercalation. All other configurations under study result in p-type states irrespective <strong>of</strong> the Ge coverage. We explain the origin <strong>of</strong><br />

the different doping states and establ<strong>is</strong>h the conditions under which a transition occurs.<br />

[1] T. P. Kaloni et al. EPL 99, 57002 (2012).<br />

[2] V. Emtsev et al. Phys. Rev. B 84, 125423 (2011).<br />

43


Enhancement <strong>of</strong> spin-pumping<br />

signal by Cu interlayer<br />

Praveen Deorani, K. Narayanapillai, C. S. Bhatia, and Hyunsoo Yang<br />

Department <strong>of</strong> Electrical and Computer Engineering, National University <strong>of</strong> Singapore, Singapore<br />

Spin-pumping [1-3] refers to the generation <strong>of</strong> pure spin currents by a precessing magnetization in a ferromagnet (F). The<br />

generated spin current <strong>is</strong> transferred to the adjacent nonmagnet (N) at the F/N interface and <strong>is</strong> commonly measured as a dc<br />

voltage induced by the inverse spin Hall effect (ISHE) [3-4] in N. The efficiency <strong>of</strong> spin-pumping <strong>is</strong> given by the spin mixing<br />

conductance [1], which depends on N and the F/N interface. Inserting a metallic layer at the interface can change the efficiency<br />

<strong>of</strong> spin-pumping and <strong>is</strong> potentially useful for increasing the induced spin current.<br />

We report study <strong>of</strong> spin-pumping through a Cu layer inserted at the permalloy (20 nm)/ Ta (8 nm) interface. Different devices with<br />

the Cu thickness ranging from 0.2 to 5 nm have been studied. The magnetization dynamics in the Py <strong>is</strong> generated by a micorwave<br />

magnetic field, and the resultant ISHE signal <strong>is</strong> measured across Ta as a function <strong>of</strong> magnetic field. An enhancement in the ISHE<br />

signal up to 2 times induced by spin-pumping <strong>is</strong> observed in the presence <strong>of</strong> the Cu interlayer. The enhancement can be attributed<br />

to increase in efficiency <strong>of</strong> spin-pumping from Py or in spin Hall effect in (Cu)/Ta. In order to confirm th<strong>is</strong>, ferromagnetic resonance<br />

(FMR) measurements have been done on Py/Cu/Ta films to observe changes in Gilbert damping constant (α ) due to spin pumping.<br />

[1] Y. Tserknovnyak, A. Brataas, and G. E. W. Bauer, Phys. Rev. B 66, 224403 (2002).<br />

[2] K. Ando et al., Phys. Rev. B 78, 014413 (2008).<br />

[3] E. Saitoh et al., Appl. Phys. Lett. 88, 182509 (2006).<br />

[4] S. O. Valenzuela and M. Tinkham, Nature 442, 176 (2006).<br />

.<br />

44


Effective Chiral Ordering Induced<br />

by Rashba Interaction<br />

Kyoung-Whan Kim 1 , Kyung-Jin Lee 2 , and Hyun-Woo Lee 1<br />

1 PCTP and Department <strong>of</strong> Physics, Pohang University <strong>of</strong> Science and Technology, Kyungbuk 790-783, Korea<br />

2 Department <strong>of</strong> Materials Science and Engineering, Korea University, Seoul 136-701, Korea<br />

A Ferromagnetic system prefers magnetization structure which minimizes total effective magnetic energy. In th<strong>is</strong> work we show<br />

that the energy <strong>of</strong> conduction electron <strong>is</strong> also affected by magnetic structure. T<strong>here</strong>fore, the system tends to minimize not only<br />

magnetic energy but the sum <strong>of</strong> magnetic energy and conduction electron energy. Consequently, considering conduction electron<br />

energy <strong>is</strong> crucial for determining stable magnetic configuration and studying magnetization dynamics such as domain wall motion.<br />

As a specific case, we study Rashba spin-orbit coupling system and show that the Rashba interaction may give r<strong>is</strong>e to chiral<br />

ordering <strong>of</strong> magnetization. Our work <strong>is</strong> expected to be helpful to explain anomalous phenomena <strong>of</strong> magnetization dynamics in thin<br />

film structures and also implies that the Rashba interaction may have similar effects as Dzyaloshinskii-Moriya interaction.<br />

45


Angular dependence <strong>of</strong><br />

current-induced field-like<br />

spin transfer torque in<br />

Pt|Co|MgO structures<br />

Ki-Seung Lee 1, 2* , Byung-Chul Min 2 , Seo-Won Lee 1 , Kyung-Ho Shin 2<br />

and Kyung-Jin Lee 1,2<br />

1 Department <strong>of</strong> Materials Science and Engineering, Korea University, Seoul 136-701, Korea<br />

2 Spin Convergence Research Center, Korea Institute <strong>of</strong> Science Technology, Seoul, 136-791, Korea<br />

‎*email <strong>of</strong> presenting author: kslee77@k<strong>is</strong>t.re.kr<br />

Manipulation <strong>of</strong> local magnetization using electrical current has attracted considerable interest due to its rich physics and<br />

applications for a new class <strong>of</strong> spintronic devices. It was theoretically proposed that spin transfer torque caused by Rashba spinorbit<br />

coupling yields a new type <strong>of</strong> current-induced effective magnetic field [1], i.e. Rashba magnetic field. The ex<strong>is</strong>tence <strong>of</strong> th<strong>is</strong><br />

Rashba field in the structure cons<strong>is</strong>ting <strong>of</strong> non-magnetic metal | ferromagnetic metal | oxide was reported experimentally [2]. In<br />

th<strong>is</strong> work, we investigate the angular dependence <strong>of</strong> current-induced field-like spin transfer torque in Pt (2nm)|Co(0.6nm)|MgO(2nm)<br />

using lock-in technique [3]. We find that current-induced field-like spin transfer torque depends strongly on the magnetization<br />

direction. Th<strong>is</strong> non-trivial angular dependence <strong>is</strong> qualitatively cons<strong>is</strong>tent with a recent theoretical prediction [4] based on the<br />

assumption that the Rashba spin-orbit coupling <strong>is</strong> comparable to the s-d exchange coupling. Our result suggests that the interfacial<br />

spin-orbit coupling in such structures <strong>is</strong> strong enough to modify the angular dependence <strong>of</strong> spin-orbit-related spin transfer torque.<br />

[1] K. Obata and G. Tatara, Phys. Rev. B 77, 214429 (2008) ; A. Manchon and S. Zhang, Phy. Rev. B 78, 212405 (2008).<br />

[2] I. M. Miron et al., Nature Mater. 9, 230 (2010).<br />

[3] U. H. Pi et al., Appl . Phys. Lett. 97, 162507 (2010).<br />

[4] K.-J. Lee, H.-W. Lee, A. Manchon, P. M. Haney, and M. D. Stiles, unpubl<strong>is</strong>hed.<br />

46


Current-Induced Domain Wall<br />

Depinning With A Spin Hall Effect<br />

J<strong>is</strong>u Ryu 1 , Kyung-Jin Lee 2 , Hyun-Woo Lee 1<br />

1 PCTP and Department <strong>of</strong> Physics, Pohang University <strong>of</strong> Science and Technology, Kyungbuk 790-783, Korea<br />

2 Department <strong>of</strong> Materials Science and Engineering, Korea University, Seoul 136-701, Korea<br />

Recently, a spin Hall effect-induced magnetization reversal <strong>is</strong> observed [1]<br />

and attracted great attention for its potential as low-power-consuming<br />

switching device applications. A magnetic domain wall (DW) motion with a<br />

spin Hall effect in ideal nanowires, w<strong>here</strong> extrinsic pinning potentials are<br />

absent, <strong>is</strong> studied in Ref. [2].<br />

In practical situations, however, DW dynamics can be largely affected by<br />

extrinsic pinning potentials due to edge roughness and defects <strong>of</strong> nanowires<br />

[3]. Here, we study DW motion with a spin Hall effect in the presence <strong>of</strong> an<br />

extrinsic pinning potential. We first calculate a threshold current density JC,<br />

the minimum current density value needed to depin a DW from an extrinsic<br />

pinning potential. Figure shows JC as a function <strong>of</strong> the pinning potential<br />

depth V for two different DW chiralities (ф0 = 0° or 180°) and for various spin<br />

Hall effect strengths (BSHλ). JC slightly increases for the one DW chirality<br />

but significantly decreases for the other DW chirality. By analyzing dynamics<br />

<strong>of</strong> two DW collective coordinates, we found the JC reduction originates from<br />

the negative damping ratio <strong>of</strong> a DW oscillation inside the pinning potential<br />

due to the spin Hall effect. Recent theoretical study [2] reported that in ideal<br />

nanowires, the spin Hall effect may drive a DW with certain<br />

chirality against electron flow direction in a particular current density range.<br />

We secondly check how extrinsic pinning potentials affect th<strong>is</strong> reversed DW<br />

motion. For a reasonable parameter set, we estimate that V should be smaller<br />

than 4% <strong>of</strong> the DW hard-ax<strong>is</strong> an<strong>is</strong>otropy energy for the current range <strong>of</strong> the<br />

reversed DW motion to avoid getting masked by JC. In summary, we<br />

investigated current-driven DW motion with a spin Hall effect in the presence<br />

<strong>of</strong> extrinsic pinning potentials. We found that a spin Hall effect may<br />

significantly reduce JC and we also provide an estimation <strong>of</strong> V for the<br />

observation <strong>of</strong> the reversed DW motion.<br />

[1] L. Liu et al., arXiv: 1110.6846v2 (2011); L. Liu et al., Science 336, 555(2012).<br />

[2] S.-M. Seo et al., Appl. Phys. Lett. 101, 022405(2012).<br />

[3] G. Tatara et al., Phys. Rev. Lett. 92, 086601(2004).<br />

47


Role <strong>of</strong> tunneling character<strong>is</strong>tics<br />

on the performance <strong>of</strong><br />

Stt--‐Mram tunnel junctions<br />

Jimmy J. Kan 1 , Kangho Lee 2 , Matthias Gottwald 1 , Seung H. Kang 2 ,<br />

and Eric E. Fullerton 1<br />

1 Center for Magnetic Recording Research, UCSD, L Jolla, CA, US<br />

2 Advanced Technology, Qualcomm Incorporated, San Diego, CA, US<br />

Second generation Magnetic Random Access Memory (MRAM) driven by the Spin Transfer Torque (STT) switching <strong>is</strong> emerging as<br />

a competitive candidate in the field <strong>of</strong> new solid‐state memories STT ‐MRAM prom<strong>is</strong>es reduced power, higher density, and better<br />

CMOS integration compared to first generation MRAM driven by magnetic field. These character<strong>is</strong>tics make STT‐MRAM an<br />

excellent candidate for both embedded and standalone memory applications [1].<br />

The operational element <strong>of</strong> STT‐MRAM <strong>is</strong> the magnetic tunnel junction (MTJ): a spintronic structure cons<strong>is</strong>ting <strong>of</strong> a ferromagnetic<br />

reference layer, an ultrathin MgO dielectric tunneling barrier, and a ferromagnetic free layer. By passing bipolar current through<br />

the MTJ, th<strong>is</strong> memory element can be set into a parallel (P, low-res<strong>is</strong>tance) or anti-parallel (AP, high-res<strong>is</strong>tance) state.<br />

One important technological challenge for STT-MRAM that <strong>is</strong> <strong>of</strong>ten neglected because <strong>of</strong> a large emphas<strong>is</strong> on write-power and<br />

thermal stability [2] <strong>is</strong> the so‐called “IC asymmetry” <strong>of</strong> MTJ cells. The mean and deviation <strong>of</strong> the programming current pulse at all<br />

pulse widths demonstrates an asymmetry dependent on the switching direction <strong>of</strong> the MTJ. Typically, the P‐to‐AP switching<br />

current or latency <strong>is</strong> higher than AP-to-P writing due to a difference in AP4 P and P4 AP spin---torque efficiency parameters (η).<br />

Th<strong>is</strong> problem causes MTJs to be incompatible with standard NMOS driving trans<strong>is</strong>tors, which have their own current driving<br />

asymmetry depending on polarity <strong>of</strong> operation. MTJ switching <strong>is</strong> also a thermally-driven probabil<strong>is</strong>tic process [3], so the IC<br />

asymmetry problem also introduces pers<strong>is</strong>tent switching errors that negatively impact the device’s write- error rate (WER) fall<strong>of</strong>f<br />

slope, severely impacting the write reliability.<br />

In th<strong>is</strong> work, we report on the performance <strong>of</strong> in-plane MTJ devices with a particular focus on the origins <strong>of</strong> asymmetric write-error<br />

rates (WER) [4]. We compare the magnetic properties <strong>of</strong> two classes <strong>of</strong> similar in-plane MTJs that show significantly different read<br />

d<strong>is</strong>turb rate (RDR) (Fig.1) and WER character<strong>is</strong>tics and find that improving factors such as damping parameter, thermal stability<br />

parameter, and average switching voltages/currents do not necessarily lead to an improvement in WER fall<strong>of</strong>f (Fig. 2). Through<br />

magnetometry, ferromagnetic resonance and temperature-dependent magneto‐transport measurements <strong>of</strong> MTJs Including<br />

low-temperature state diagrams, we demonstrate that WER slopes and IC asymmetry are correlated to intrinsic material properties<br />

<strong>of</strong> MTJs such as TMR, spin‐torque efficiency and spin‐polarization (Fig.3) and are not dominated by thermal effects as previously<br />

assumed. We further show that low‐temperature measurements can elucidate anomalous device properties that lead to failures<br />

in room‐temperature STT‐MRAM operation.<br />

[1] K. Lee, et al. IEEE Trans. Mag., 47, pp. 131---136 (2010)<br />

[2] T. Seki, et al. Appl. Phys. Lett. 99, 112504 (2011)<br />

[3] E.B. Myers, et al. Phys. Rev. Lett. 89, 196801 (2002)<br />

[4] K. Lee, et al. IEEE Mag. Lett. (accepted 2012)<br />

48


<strong>Theory</strong> <strong>of</strong> ultrafast non-thermal<br />

spin dynamics<br />

Hasan Kesserwan 1 , Fatih Dogan 1 , Aurelien Manchon 1<br />

1 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Physical Science and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia<br />

Manipulating the order parameter <strong>of</strong> magnetic materials on ultrashort timescales has been made possible by the use <strong>of</strong> femtosecond<br />

laser excitations [1]. Ultrafast demagnetization and magnetization dynamics has been observed in ferro-, ferri- and even<br />

anti-ferromagnets [2, 3]. However, the popular three-temperature model widely used to interpret the experiments fails to capture<br />

the core <strong>of</strong> non-thermal physics taking place during the first hundreds <strong>of</strong> femtoseconds. Recent experiments identified the spin<br />

orbit interaction [4] and the magnon excitations [5] as possible candidates responsible for the d<strong>is</strong>sipation <strong>of</strong> the spin angular<br />

momentum and consequently for the ultrafast demagnetization. However, the interplay between these two mechan<strong>is</strong>ms has not<br />

been clearly identified. Theoretically, several models have been proposed to understand the ultrafast phenomenon, for example<br />

Zhang and Hubner [6], U. Atxitia et al. [7] and recently the three temperature model proposed by Manchon et al. [8].<br />

In the present work, we develop a non-equilibrium description <strong>of</strong> the charge, spin and phonon dynamics using the microscopic<br />

Kinetic Bloch Spin Equation (KSBE) [9] that governs the dynamics <strong>of</strong> the three mutually coupled subsystems. The KSBE incorporates<br />

all the pertinent scattering mechan<strong>is</strong>ms that could demagnetize the magnetic material, such as the electron-electron,<br />

electron-impurities, electron-phonon, and electron-magnon. We show that on ultra-short time scales, the light-induced ultrafast<br />

demagnetization <strong>is</strong> due to an Elliott-Yafet Spin flip mechan<strong>is</strong>m mediated by electron-electron, electron-phonon or impurity<br />

scattering. Our perspective <strong>is</strong> to analyse the interplay between Elliott-Yafet processes, mediated by electron-electron,<br />

electron-phonon and electron-impurities, and electron-magnon scattering. The strength <strong>of</strong> the present code, compared to previous<br />

approaches, <strong>is</strong> that it can in principle track the non-thermal d<strong>is</strong>tribution <strong>of</strong> electrons, magnons and phonons and provides a full<br />

dynamical picture <strong>of</strong> the ultrafast dynamics.<br />

[1] E. Beaurepaire et al., Phys. Rev. Lett. 76, 4250 (1996).<br />

[2] B. Koopmans et al., Nature Materials 9, 259 (2010).<br />

[3] I. Radu et al., Nature 472, 205 (2011).<br />

[4] C. Boeglin et al., Nature 465, 458 (2010).<br />

[5] A. B. Schmidt et al., Phys. Rev. Lett. 105, 197401 (2010).<br />

[6] G. Zhang, Phys. Rev. Lett. 85, 3025 (2000).<br />

[7] U. Atxitia, Phys. Rev. B 81, 174401 (2010).<br />

[8] A. Manchon et al. , Phys. Rev. B 85, 064408 (2012)<br />

[9] J. H. Jiang et al., Phys. Rev. B 79, 125206 (2009).<br />

49


Anomalous Hall effect (AHE) and<br />

an<strong>is</strong>otropy magnetores<strong>is</strong>tance<br />

(AMR) in perpendicularly<br />

magnetized Co/Ni multilayers<br />

See-Hun Yang1*, Pr<strong>is</strong>cila Barba2, Kwang-su Ryu1, Luc Thomas1,<br />

Aurelien Manchon2, and Stuart Parkin1<br />

1IBM Almaden Research Center, US<br />

2 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Thuwal, Saudi Arabia<br />

‎*email <strong>of</strong> presenting author: seeyang@us.ibm.com<br />

Unconventional current-induced domain wall motion (CIDWM) faster than 300 m/s along the current direction has been reported<br />

in perpendicularly magnetized atomically thin Co/Ni bilayers deposited on Pt underlayers [1], making these materials extremely<br />

prom<strong>is</strong>ing for DW-based memory and logic devices. The driving force <strong>of</strong> the motion <strong>is</strong> believed to originate from the Pt/Co<br />

interface. Indeed, we find that when Pt <strong>is</strong> replaced by Au, a closely related 5d metal, CIDWM <strong>is</strong> conventional, namely the DWs<br />

move against the current flow, and several times more slowly. We have compared the anomalous Hall effect (AHE) and an<strong>is</strong>otropic<br />

magnetores<strong>is</strong>tance (AMR) <strong>of</strong> Co/Ni multilayers on Pt and Au underlayers. We find that the orientation dependence <strong>of</strong> the AMR <strong>is</strong><br />

very different in the two cases and the AHE <strong>is</strong> more than an order <strong>of</strong> magnitude greater for Pt/Co/Ni than for Au/Co/Ni. We d<strong>is</strong>cuss<br />

the origin <strong>of</strong> these behaviors.<br />

[1] Kwang-su Ryu, Luc Thomas, See-Hun Yang, S.S.P. Parkin, Applied Physics Express 5, 093006 (2012).<br />

50


Direct Connection between Spin<br />

Torque and Anomalous Transport<br />

induced by Spin Hall Effect<br />

Pr<strong>is</strong>cila Barba , See-Hun Yang , Luc Thomas 2 , Kwang-Su Ryu 2 , Stuart Parkin 2<br />

and Aurelien Manchon 1<br />

1 <strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Thuwal, Saudi Arabia<br />

2 IBM Almaden Research Center, San Jose, CA, US<br />

Spin-orbit-induced an<strong>is</strong>otropic transport in magnetic materials has recently experienced a renewed interest thanks to the<br />

formulation <strong>of</strong> an<strong>is</strong>otropic spin scattering in terms <strong>of</strong> Berry’s curvature. An<strong>is</strong>otropic magnetores<strong>is</strong>tance (AMR) <strong>is</strong> related to the<br />

scattering <strong>of</strong> the transport electrons on the orbitals <strong>of</strong> localized electrons, depending on the magnetization direction. The<br />

contribution <strong>of</strong> the interfaces on AMR has been only scarcely studied. We consider a bilayer composed <strong>of</strong> a ferromagnetic layer<br />

adjacent to a normal metal. The normal metal d<strong>is</strong>plays spin Hall effect, w<strong>here</strong>as the ferromagnetic layer possesses anomalous Hall<br />

effect (AHE). We propose that spin Hall effect present in the bottom layers might contribute to the total AMR and AHE <strong>of</strong> the<br />

bilayer system. The charge and spin currents are analyzed by drift-diffusion equations including the role <strong>of</strong> inverse spin Hall effect<br />

as well as anomalous Hall effect in the ferromagnet. Longitudinal and transverse spin accumulations at the interfaces are captured<br />

through spin dependent conductance and the mixing conductance. It <strong>is</strong> shown that the presence <strong>of</strong> a spin accumulation in the<br />

normal metal close to the interface <strong>is</strong> transformed into a charge current through inverse spin Hall effect hence altering the<br />

conductivity <strong>of</strong> the normal metal. Interestingly, we find that in the limit <strong>of</strong> large interfacial res<strong>is</strong>tance, the AMR and AHE induced<br />

by the spin Hall effect in the normal metal are directly related to the strength <strong>of</strong> the spin transfer torque.<br />

51


Origin <strong>of</strong> coex<strong>is</strong>tence <strong>of</strong><br />

superparamagnetic and<br />

ferromagnetic behavior in<br />

Mn doped ZnO thin films<br />

S. Venkatesh, Abdulaziz Baras and Iman. S. Roqan*<br />

<strong>King</strong> Abdullah University <strong>of</strong> Science and Technology, Materials Science and Engineering, Physical Sciences<br />

and Engineering Div<strong>is</strong>ion, Thuwal, Saudi Arabia<br />

‎*email <strong>of</strong> corresponding author : iman.roqan@kaust.edu.sa<br />

ZnO based Diluted magnetic semiconductors have been extensively studied<br />

for the past two decades towards achieving room temperature ferromagnet<strong>is</strong>m<br />

and ‘P’ type conductivity in order to be used in spintronic devices. Although<br />

plethora <strong>of</strong> research work have been rendered in the 3d transition metals<br />

doped ZnO, the intrinsic ferromagnetic origin <strong>is</strong> still under debate. In th<strong>is</strong><br />

work we present our findings on the Mn2at% doped ZnO doped ZnO thin<br />

films were prepared by PLD technique on c-sapphire at 50 and 500 mTorr <strong>of</strong><br />

O2 ambient pressures. Both films were grown along the c-ax<strong>is</strong> <strong>of</strong> the ZnO and<br />

no trace <strong>of</strong> any secondary phase could be identified from XRD, SEM and TEM.<br />

Room temperature magnetization shows a saturated ferromagnetic behavior,<br />

however at 5 K it was superparamagnetic. A good agreement with the<br />

Kaminski-Das Sarma model <strong>of</strong> polaron percolation [1] was obtained with the<br />

temperature variation <strong>of</strong> ΔM (=MFC-MZFC). Low temperature charge<br />

transport was governed by the Mott’s variable range <strong>of</strong> hopping mechan<strong>is</strong>m<br />

indicating, a strong localization <strong>of</strong> carriers at low T and below a critical<br />

concentration in the vicinity <strong>of</strong> metal-insulator transition [2]. A large positive<br />

magnetores<strong>is</strong>tance ( ~ 40 %) with an admixed negative component below 10<br />

K was attributed to a field induced delocalization <strong>of</strong> weakly localized carriers<br />

[2]. A coex<strong>is</strong>tence <strong>of</strong> superparamagnet<strong>is</strong>m and ferromagnet<strong>is</strong>m <strong>is</strong> attributed<br />

to the consequence <strong>of</strong> varying temperature dependences <strong>of</strong> localization<br />

effect, polarons clustering and magnetic ordering <strong>of</strong> localized carriers.<br />

Fig.1MvsH loops (a, b) and ZFC-FC magnetization (c, d) <strong>of</strong> Mn 2%<br />

doped ZnO thin film samples, prepared at 50, 500 mTorr <strong>of</strong> Oxygen,<br />

respectively. The inserts <strong>of</strong> panels (c) and (d) show the Kamin<strong>is</strong>ki-<br />

Das Sarma fit <strong>of</strong> ΔM (=M FC -M ZFC ) for the percolation <strong>of</strong> polarons.<br />

[1] A. Kaminski and S. Das Sarma, Phys. Rev. Lett. 88, 247202 (2002)<br />

[2] J. Jaroszyński et al., Phys. Rev. B 76, 045322 (2007)<br />

52


Three terminal magnetic tunnel<br />

junctions with CuIr channel<br />

M. Yamanouchi 1,2 , L. Chen 1,2 , J. Kim 3 , M. Hayashi 3 , H. Sato 1 , S. Fukami 1 , S. Ikeda 1,2 ,<br />

F. Matsukura 1,2,4 , and H. Ohno 1,2,4<br />

1 Center for <strong>Spintronics</strong> Integrated Systems, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan.<br />

2 Laboratory for Nanoelectronics and <strong>Spintronics</strong>, Research Institute <strong>of</strong> Electrical Communication, Tohoku University, 2-1-1 Katahira,<br />

Aoba-ku, Sendai 980-8577, Japan.<br />

3 National Institute for Materials Science, Tsukuba 305-0047, Japan.<br />

4 WPI Advanced Institute for Materials Research, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan.<br />

Recently, in three terminal devices with magnetic tunnel junctions (MTJs) patterned onto channels composed <strong>of</strong> β-Ta [1] and β-W<br />

[2], switching <strong>of</strong> MTJs by spin transfer torque (STT) driven by spin Hall effect (SHE) in the channels have been demonstrated. Such<br />

three terminal MTJs attract much attention because <strong>of</strong> their potential <strong>of</strong> realizing high speed operation [3]. However, for practical<br />

application, it <strong>is</strong> highly desirable to make the channel material more compatible with very large scale integrated circuits technology.<br />

Here we show three terminal MTJs with the channel based on an interconnection material Cu with Ir doping (Cu:Ir), in which a<br />

relatively large SHE has been reported [4].<br />

A stack <strong>is</strong> deposited on a thermally oxidized Si (001) substrate by using rf magnetron sputtering at room temperature. The stack<br />

structure <strong>is</strong>, from the substrate side, Cu 90 Ir 10 (10)/Co 20 Fe 60 B 20 (1.5)/MgO(1.7)/Co 20 Fe 60 B 20 (3)/Ru(0.8)/Co 50 Fe 50 (2.5)/Ta(5)/Ru(5) (in<br />

nm). The stack <strong>is</strong> processed into 100 × 200 nm and 100 × 350 nm rectangular MTJs on a 1 μm wide Cu:Ir channel by electron-beam<br />

lithography and Ar-ion milling. The long ax<strong>is</strong> <strong>of</strong> the MTJ <strong>is</strong> directed orthogonal to the channel direction. The top and bottom CoFeB<br />

layers exhibit in-plane magnetic easy ax<strong>is</strong> and corresponds to the reference and recording layer, respectively. After preparing<br />

parallel or antiparallel magnetization configuration, current pulses with various amplitudes and directions are applied. With the<br />

application <strong>of</strong> a current density <strong>of</strong> less than 10 12 A/m 2 to the channel, current-direction-dependent switching <strong>of</strong> MTJ takes place.<br />

The relationship between direction <strong>of</strong> the switching current and magnetization configuration <strong>is</strong> cons<strong>is</strong>tent with that by both <strong>of</strong><br />

STT driven by SHE in Cu:Ir [4] and current-induced fields orthogonal to the channel direction.<br />

Th<strong>is</strong> work was supported by JSPS through FIRST program.<br />

[1] L. Liu et al., Science 336, 555 (2012).<br />

[2] C. Pai et al., Appl. Phys. Lett. 101, 122404 (2012).<br />

[3] N. Sakimura et al., VLSI Cir. Tech. Dig., 2006, 108.<br />

[4] Y. Niimi et al., Phys. Rev. Lett. 106, 126601 (2011).<br />

53


Domain wall motion driven by<br />

the Slonczewski-like torque<br />

from nonmagnetic heavy-metal<br />

underlayers<br />

Satoru Emori 1 *, Uwe Bauer 1 , Sung-Min Ahn 1 , Eduardo Martinez 2 ,<br />

Ge<strong>of</strong>frey S. D. Beach 1<br />

1Department <strong>of</strong> Materials Science and Engineering, Massachusetts Institute <strong>of</strong> Technology, US<br />

2Department <strong>of</strong> Applied Physics, University <strong>of</strong> Salamanca, Spain<br />

‎*Email <strong>of</strong> Presenting Author: satorue@mit.edu<br />

Recent studies have reported efficient current-driven domain wall (DW)<br />

motion [1] and magnetization switching [2] in out-<strong>of</strong>-plane magnetized<br />

structures cons<strong>is</strong>ting <strong>of</strong> an ultrathin ferromagnetic layer sandwiched by a<br />

nonmagnetic heavy-metal underlayer and an oxide overlayer. We<br />

experimentally relate DW dynamics to current-induced spin-orbit torques in<br />

Ta/CoFe/MgO and Pt/CoFe/MgO. DWs are propagated by current alone, with<br />

spin torque efficiencies exceeding 100 Oe/(1011 A/m2), along electron flow in<br />

Ta/CoFe/MgO and against electron flow in Pt/CoFe/MgO. The polarities <strong>of</strong> the<br />

measured Slonczewski-like torque in uniformly magnetized Ta/CoFe/MgO<br />

and Pt/CoFe/MgO are also opposite, and the magnitudes <strong>of</strong> the torque are<br />

sufficient to drive DWs. These observations are naturally accounted for by<br />

the spin Hall effect in Ta and Pt. In contrast, according to the measurements<br />

<strong>of</strong> the current-induced field-like torque, the Rashba effect cannot<br />

be a fundamental contribution to DW motion. Combined with the<br />

Dzyaloshinskii-Moriya interaction [3] that locks DWs into the Néel<br />

configuration, the Slonczewski-like torque from the spin Hall effect in the<br />

heavy-metal underlayer explains anomalously efficient DW motion, even in<br />

the absence <strong>of</strong> an applied field or conventional spin transfer torques.<br />

Figure: a,b Direction (a) and velocity (b) <strong>of</strong> current-driven DWs. c,d<br />

Geometry <strong>of</strong> effective field HSL (c) and current-induced switching<br />

(d) from Slonczewski-like torque under applied field HLong.<br />

[1] I.M. Miron et al. Nat. Mater. 10, 419 (2011); S. Emori et al. Appl. Phys. Lett. 101, 042405 (2012).<br />

[2] L. Liu et al. Phys. Rev. Lett. 109, 096602 (2012).<br />

[3] A. Thiaville et al. Europhys. Lett. 100, 57002 (2012).<br />

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