Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern

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Presentation transcript:

Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern Coexisting Edge States and Gapless Bulk in Topological States of Matter Y. Baum, T. Posske, I. C. Fulga, B. Trauzettel, A. Stern Phys. Rev. Lett. 114, 136801 arXiv:1503.04845

Topological Insulators Edge states: Chiral/Helical Protected by the gap (disorder, local perturbations)

Coexisting Bulk and Edge Close the gap…

Coexisting Bulk and Edge

Coexisting Bulk and Edge Solutions?

Coexisting Bulk and Edge Solutions? 1) More complicated H

Coexisting Bulk and Edge Solutions? 1) More complicated H 2) Bilayer

Bilayers: gapless bulk + edges No disorder: Different Energies Different Momenta

Termination dependent “Strong” edge “Weak” edge

Gapless Bulk + Edges With Disorder Edge-bulk competition Depends on the symmetry class

Gapless Bulk + Edges With Disorder Case I: AQH, C=1 localizes trivial

Gapless Bulk + Edges With Disorder Case I: Edges Win

Gapless Bulk + Edges With Disorder Case II: The edge wins – force to localize. doesn’t localize by itself.

Gapless Bulk + Edges With Disorder Case III: Bulk Wins:

Gapless bulk + Edges In experiment: QSHE QSHE

Gapless bulk + Edges In experiment: QSHE QSHE

Gapless bulk + Edges In experiment: QSHE QSHE

Gapless bulk + Edges In experiment: QSHE QSHE

Gapless bulk + Edges In experiment:

Gapless bulk + Edges In experiment:

Conclusions Gapless Bulk and Edge modes coexist “Weak” and “Strong” edges Different behavior with disorder Double Hg(Cd)Te quantum wells