Topological Insulators - GDR Meso
Topological Insulators - GDR Meso Topological Insulators - GDR Meso
2D Dirac Matter A B H = ~v F ( y .k x x .k y ) Topological Insulators surface states ‣ strong spin-orbit : momentum-spin locking ➡ real spin in Dirac equation (Zeeman effect, spintronic) ‣ no additional degeneracy : a single cone ‣ 1 cone + real spin : strong constraint by T-symmetry ‣ 2 independant cones (Nielsen-Ninomyia Theorem) ‣ necessity to include hexagonal warping at high doping H W = 2 z(k 3 + + k 3 ) k ± = k x ± ik y Graphene ‣ pseudo spin (AB) in Dirac ‣ 4-fold degeneracy : valley x spin ‣ T-symmetry relates both cones also : α-(BEDT-TTF)2I3 under pressure A. Kobayashi et al., Phys. Rev. B 84,075450 (2011) mardi 3 janvier 12
Diffusion of 2D Dirac states • Transport in metallic regime : k F 1/l e (high doping) k F 1/l e F l e mardi 3 janvier 12
- Page 1 and 2: Some Transport properties of Topolo
- Page 3 and 4: Surface States of 3D Topological In
- Page 5 and 6: Transport measurement on TI Bi2Se3
- Page 7 and 8: Transport measurement on TI Bi2Se3
- Page 9 and 10: Transport measurement on TI ‣ Bi2
- Page 11: 2D Dirac Matter A B H = ~v F ( y .k
- Page 15 and 16: Study of diffusion of 2D Dirac stat
- Page 17 and 18: (Weak) Localization • Probability
- Page 19 and 20: (Weak) Localization / Quantum trans
- Page 21 and 22: Weak localization : Universality cl
- Page 23 and 24: Weak localization : Universality cl
- Page 25 and 26: Anderson Univ. classes and Topologi
- Page 27 and 28: Anderson Univ. classes and Topologi
- Page 29 and 30: Anisotropic Scattering of Dirac sta
- Page 31 and 32: Anisotropic Scattering of Dirac sta
- Page 33: Conclusion ‣ New playground for u
2D Dirac Matter<br />
A<br />
B<br />
H = ~v F ( y .k x x .k y )<br />
<strong>Topological</strong> <strong>Insulators</strong> surface states<br />
‣ strong spin-orbit : momentum-spin locking<br />
➡ real spin in Dirac equation (Zeeman effect, spintronic)<br />
‣ no additional degeneracy : a single cone<br />
‣ 1 cone + real spin : strong constraint by T-symmetry<br />
‣ 2 independant cones<br />
(Nielsen-Ninomyia Theorem)<br />
‣ necessity to include hexagonal warping at high<br />
doping<br />
H W = 2<br />
z(k 3 + + k 3 )<br />
k ± = k x ± ik y<br />
Graphene<br />
‣ pseudo spin (AB) in Dirac<br />
‣ 4-fold degeneracy : valley x spin<br />
‣ T-symmetry relates both cones<br />
also : α-(BEDT-TTF)2I3 under pressure<br />
A. Kobayashi et al., Phys. Rev. B 84,075450 (2011)<br />
mardi 3 janvier 12
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