Topological Insulators - GDR Meso
Topological Insulators - GDR Meso Topological Insulators - GDR Meso
(Weak) Localization • Probability to diffuse from ⇥r to ⇥r ⇥ P (⌅r ⌅r ⇥ ) ⇥ path C ⇥r • Phase variation along a diffusion path : • Average interferences vanish, except if ”C = C ” (reversed ring) ⇥r ⇥ A C 2 = ⇥ |A C | 2 + ⇥ A C A C ⇥ C C⇤=C ⇥ ⌅ C =2⇤ L C ⇥ F Classical Interferences random in a metal • Phase coherent corrections ‣ loop contributions ➡Effective diffusion of «pseudo particles» Diffuson (same dir.) O mardi 3 janvier 12
(Weak) Localization • Probability to diffuse from ⇥r to ⇥r ⇥ P (⌅r ⌅r ⇥ ) ⇥ path C ⇥r • Phase variation along a diffusion path : • Average interferences vanish, except if ”C = C ” (reversed ring) ⇥r ⇥ A C 2 = ⇥ |A C | 2 + ⇥ A C A C ⇥ C C⇤=C ⇥ ⌅ C =2⇤ L C ⇥ F Classical Interferences random in a metal • Phase coherent corrections ‣ loop contributions ➡Effective diffusion of «pseudo particles» Diffuson (same dir.) / Cooperon (opp. dir.) O 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 and 12: 2D Dirac Matter A B H = ~v F ( y .k
- Page 13 and 14: Diffusion of 2D Dirac states • Tr
- Page 15: Study of diffusion of 2D Dirac stat
- 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
(Weak) Localization<br />
• Probability to diffuse from ⇥r to ⇥r<br />
⇥<br />
P (⌅r ⌅r ⇥ ) ⇥<br />
path C ⇥r<br />
• Phase variation along a diffusion path :<br />
• Average interferences vanish,<br />
except if ”C = C ” (reversed ring)<br />
⇥r ⇥<br />
A C<br />
2<br />
= ⇥ |A C | 2 + ⇥ A C A C ⇥<br />
C<br />
C⇤=C ⇥<br />
⌅ C =2⇤ L C<br />
⇥ F<br />
Classical<br />
Interferences<br />
random in a metal<br />
• Phase coherent corrections<br />
‣ loop contributions<br />
➡Effective diffusion of «pseudo particles» Diffuson (same dir.) / Cooperon (opp. dir.)<br />
O<br />
mardi 3 janvier 12
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