Bulk-edge correspondence in the presence of a mobility gap

Thursday, May 18, 2017 - 2:00pm - 2:40pm
Keller 3-180
Gian Graf (Eidgenössische TH Zürich-Hönggerberg)
Band insulators are characterized by the Fermi energy lying in spectral
gap. More generally, we consider situations where that energy lies
within the spectrum, though in an regime of localization. We discuss how
indices are defined and affected by that situation,
as well as the relation between edge and bulk. The discussion is
pedestrian and is based on examples in dimension 1 and 2 exhibiting
different symmetries.