Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...
Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ... Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...
Talks Tuesday February 5 Spin-orbit-mediated control of electron and hole spins in InSb nanowire quantum dots Vlad Pribiag, Kavli Institute of Nanoscience Delft, The Netherlands The spin-orbit interaction allows fast control of individual spins in quantum dots using electric fields. Narrow-gap III-V semiconductor nanowires (InAs and InSb) exhibit strong spin-orbit coupling, which makes them a promising platform for spinbased qubits [1,2]. In this talk I will focus on InSb nanowires, which are of high interest both for qubits and for observing Majorana fermions. Using electric-dipole spin resonance (EDSR) we demonstrate coherent and universal control over the spin-orbit eigenstates of individual electrons, with Rabi frequencies in excess of 100 MHz and estimated fidelities of ∼ 81%. The large Zeeman energy difference between adjacent dots enables selective addressing of each qubit. Furthermore, we use EDSR in the strong interdot coupling regime to probe the strength and anisotropy of the spin-orbit coupling. The data in agreement with Rashba spin-orbit coupling, with α∼ 0.23 eVÅ. Although the Rabi oscillations for InSb nanowire qubits are considerably faster than for GaAs qubits, the coherence times are relatively short (Techo ∼ 35 ns) and show no significant dependence on driving frequency within the accessible range of 8-32 GHz. This is consistent with dephasing due to a fast spin bath that likely originates from the large nuclear spins of InSb (5/2 and 7/2 for 121Sb and 123Sb respectively, and 9/2 for In). A promising approach to enhancing qubit coherence is to use hole spins as qubits instead of electron spins because hole spins exhibit weaker hyperfine coupling [3]. Taking advantage of the small bandgap of InSb, we can readily gate-tune our nanowire devices between few-electron and few-hole quantum dots [4]. Comparison between the two regimes suggests that the holes are primarily of light character and that the hyperfine interaction is about an order of magnitude weaker for holes than for electrons. We demonstrate rotation of hole spin states via EDSR and use this to extract the hole g-factor, which is about an order of magnitude smaller than for electrons. We compare the anisotropies of the g-factor and spin blockade leakage current for holes and electrons. The ability to control and read out hole spin states paves the way for coherent, all-electrical hole-spin qubits. [1] C. Flindt, A. S. Sørensen, K. Flensberg, Phys. Rev. Lett. 97 240501 (2006). [2] S. Nadj-Perge, S. M. Frolov, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Nature 468, 1084 (2010). [3] D. Brunner, B. D. Gerardot, P. A. Dalgarno, G. Wüst, K. Karrai, N. G. Stoltz, P. M. Petroff, R. J. Warburton, Science 325, 70 (2009). [4] V. S. Pribiag, S. Nadj-Perge, S. M. Frolov, J. van den Berg, I. van Weperen, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Submitted. 38
Talks Tuesday February 5 Notes 39
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- Page 86 and 87: 18. Domenico Giuliano, Universita
Talks Tuesday February 5<br />
Spin-orbit-mediated control of electron and hole spins in InSb nanowire<br />
quantum dots<br />
Vlad Pribiag, Kavli Institute of Nanoscience Delft, The Netherlands<br />
The spin-orbit interaction allows fast control of individual spins in quantum dots<br />
using electric fields. Narrow-gap III-V semiconductor nanowires (InAs and InSb)<br />
exhibit strong spin-orbit coupling, which makes them a promising platform for spinbased<br />
qubits [1,2]. In this talk I will focus on InSb nanowires, which are of high<br />
interest both for qubits and for observing Majorana fermions.<br />
Using electric-dipole spin resonance (EDSR) we demonstrate coherent and universal<br />
control over the spin-orbit eigenstates of individual electrons, with Rabi<br />
frequencies in excess of 100 MHz and estimated fidelities of ∼ 81%. The large<br />
Zeeman energy difference between adjacent dots enables selective addressing of each<br />
qubit. Furthermore, we use EDSR in the strong interdot coupling regime to probe<br />
the strength and anisotropy of the spin-orbit coupling. The data in agreement with<br />
Rashba spin-orbit coupling, with α∼ 0.23 eVÅ. Although the Rabi oscillations for<br />
InSb nanowire qubits are consi<strong>der</strong>ably faster than for GaAs qubits, the coherence<br />
times are relatively short (Techo ∼ 35 ns) and show no significant dependence on<br />
driving frequency within the accessible range of 8-32 GHz. This is consistent with<br />
dephasing due to a fast spin bath that likely originates from the large nuclear spins<br />
of InSb (5/2 and 7/2 for 121Sb and 123Sb respectively, and 9/2 for In).<br />
A promising approach to enhancing qubit coherence is to use hole spins as qubits<br />
instead of electron spins because hole spins exhibit weaker hyperfine coupling [3].<br />
Taking advantage of the small bandgap of InSb, we can readily gate-tune our<br />
nanowire devices between few-electron and few-hole quantum dots [4]. Comparison<br />
between the two regimes suggests that the holes are primarily of light character and<br />
that the hyperfine interaction is about an or<strong>der</strong> of magnitude weaker for holes than<br />
for electrons. We demonstrate rotation of hole spin states via EDSR and use this<br />
to extract the hole g-factor, which is about an or<strong>der</strong> of magnitude smaller than for<br />
electrons. We compare the anisotropies of the g-factor and spin blockade leakage<br />
current for holes and electrons. The ability to control and read out hole spin states<br />
paves the way for coherent, all-electrical hole-spin qubits.<br />
[1] C. Flindt, A. S. Sørensen, K. Flensberg, Phys. Rev. Lett. 97 240501 (2006).<br />
[2] S. Nadj-Perge, S. M. Frolov, E. P. A. M. Bakkers, and L. P. Kouwenhoven,<br />
Nature 468, 1084 (2010).<br />
[3] D. Brunner, B. D. Gerardot, P. A. Dalgarno, G. Wüst, K. Karrai, N. G. Stoltz,<br />
P. M. Petroff, R. J. Warburton, Science 325, 70 (2009).<br />
[4] V. S. Pribiag, S. Nadj-Perge, S. M. Frolov, J. van den Berg, I. van Weperen,<br />
S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Submitted.<br />
38