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Topological Insulators - GDR Meso

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Warping + (in plane) Zeeman<br />

P. Adroguer, D. Carpentier, J. Cayssol and E. Orignac, unpublished<br />

H 0 = ~v F ẑ ⇥ (~ ⇥ ~ k) +V (~r ) H W = 2<br />

z k 3 + + k 3<br />

k ± = k x ± ik y<br />

Zeeman field :<br />

H Z = gµ B ~ . ~ B<br />

‣ in plane without warping : no effect on transport<br />

‣ + Warping : modifies the scattering amplitude, and the transport<br />

k min<br />

kmax<br />

No Warping<br />

Fermi Surface<br />

Increasing B<br />

Zeeman Field<br />

+ Warping<br />

Zeeman field = Constant Gauge field = Shift of momenta<br />

Transport unchanged<br />

Zeeman field ≠ Constant Gauge field<br />

Transport modified<br />

Modification of UCF, weak loc, etc<br />

mardi 3 janvier 12

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