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Topological Insulators - GDR Meso

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Surface States of 3D <strong>Topological</strong> <strong>Insulators</strong><br />

• The Z2 topological order in the bulk<br />

(band inversion induced by strong spin orbit)<br />

• Robust edge (surface) states : Dirac fermions (odd number)<br />

• First proposed candidate : Bi1-xSbx<br />

Fu and Kane PRB 76 (2007)<br />

«strong» topological insulator,<br />

ν0 =1, not layered<br />

• Second generation 3D <strong>Topological</strong> <strong>Insulators</strong><br />

Bi2Se3, Bi2Te3, Sb2Te3, ...<br />

• Reference material : Bi2Se3<br />

‣ single Dirac cone at the surface, stoichiometric, large band gap : 0.3 eV<br />

• «Third generation» 3D <strong>Topological</strong> <strong>Insulators</strong><br />

‣ TlBiTe2, Bi2Te3 ·(GeTe)0.5<br />

‣ strained HgTe : Ideal material ?<br />

L. Molenkamp group, PRL (2011)<br />

T. Meunier et L. Lévy : cf talk by C. Bouvier<br />

How to probe experimentally these 3D Top. <strong>Insulators</strong> ?<br />

‣ existence of surface states (Dirac fermions) :<br />

‣ (spin resolved) ARPES<br />

‣ STM<br />

‣ transport ... problem : get rid of bulk contribution<br />

mardi 3 janvier 12<br />

Checkelsky et al., PRL. 103, 246601 (2009)<br />

Zhang H. et al., Nat. Phys. 5, 438 (2009)<br />

ARPES of topological insulator<br />

First observation by D. Hsieh et al. (Z. Hasan group), Princeton/LBL, 2008.<br />

This is later data on Bi2Se3 from the same group in 2009:<br />

The states shown are in the “energy gap” of the bulk material--in general n

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