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TT: Fachverband Tiefe Temperaturen
TT 24: Low-Dimensional Systems: 1D - Theory
TT 24.13: Talk
Tuesday, March 21, 2017, 12:45–13:00, HSZ 204
Topological mirror insulators in one dimension — •Alexander Lau1, Jeroen van den Brink1,2, and Carmine Ortix1,3 — 1Institute for Theoretical Solid State Physics, IFW Dresden, Germany — 2Institute for Theoretical Physics, TU Dresden, Germany — 3Institute for Theoretical Physics, Utrecht University, Netherlands
In the context of novel topological states of matter protected by crystalline symmetries, we show that the presence of mirror symmetry leads to a new class of time-reversal invariant topological insulators in one dimension. These topological mirror insulators are characterized by a nontrivial Z2 topological invariant defined in terms of the partial polarization, which we show to be quantized in the presence of a 1D mirror point. Their hallmark is an odd number of electronic integer end charges at the mirror-symmetric boundaries of the system.
We check our findings against spin-orbit coupled Aubry-André-Harper models which realize this novel topological state of matter. The presented models could be realized, for instance, in cold-atomic Fermi gases loaded in periodic optical lattices.