AG Mathematische Physik: Danilo José Polo Ojito (Chile): Interface currents and corner states in magnetic quarter-plane systems

Danilo José Polo Ojito

Interface currents and corner states in magnetic quarter-plane systems

Abstract:The purpose of this talk is to study the propagation of currents along
the interface of two 2-d magnetic systems, where one of them occupies the first
quadrant of the plane. By considering the tight-binding approximation model and
K-theory, we prove that, for an integer number that is given by the difference
of two bulk topological invariants of each individual system, such interface
currents are quantized. We further state the necessary conditions to produce
corner states for these kinds of underlying systems, and we show that they have
topologically protected asymptotic invariants.