Agenda

Résumé : Unlike a quantum Hall bar, a higher-order topological insulator may not have edge modes that conduct, but localized corner modes. These corner modes are robust to disorder and their appearance is diagnosed by a topological invariant that takes both onsite and spatial symmetries. In this talk, I will introduce a scattering theory for detecting higher-order topological phases only from a sample’s Fermi level properties, and will demonstrate how to apply it to different models. This theory provides an alternative approach for proving bulk–edge correspondence in intrinsic higher order topological phases, especially in presence of disorder, and it relies on the spectral flow that these phases show in the presence of magnetic flux.