Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 20: Transport: Topological Insulators 1 (jointly with DS, HL, MA, O)
TT 20.6: Talk
Monday, March 16, 2015, 16:45–17:00, A 053
Coexisting edge states and gapless bulk in topological states of matter — Yuval Baum1, •Thore Posske2, Ion Cosma Fulga1, Björn Trauzettel2, and Ady Stern1 — 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel — 2Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany
We consider two dimensional systems in which edge states coexist with a gapless bulk. Such systems may be constructed, for example, by coupling a gapped two dimensional state of matter that carries edge states to a gapless two dimensional system in which the spectrum is composed of a number of Dirac cones. We find that in the absence of disorder the edge states could be protected even when the two systems are coupled, due to momentum and energy conservation. We distinguish between weak and strong edge states by the level of their mixing with the bulk. In the presence of disorder, the edge states may be stabilized when the bulk is localized or destabilized when the bulk is metallic. We analyze the conditions under which these two cases occur. Finally, we propose a concrete physical realization for one of our models on the basis of bilayer Hg(Cd)Te quantum wells.