seminar FisMat

FisMat Seminar, Noviembre 23, 2022, 14:30

Speaker: Danilo Polo, PUC

Title: Topological quantization of interface currents in magnetic quarter-plane systems

Place: Pontificia Universidad Católica, Facultad de Matemáticas, Campus San Joaquin, Sala 1

Abstract:
A magnetic interface is a thin region of the space that separates the material in two parts subjected to perpendicular uniform magnetic fields of distinct intensity. It is well-known that interfaces may lead to surface modes which can carry edge currents. The aim of this talk is to show (in the tight-binding approximation) the topological quantization of such currents for magnetic quarter-plane systems, and by using K-theory, we derive bulk-interface dualities. If time allows, I will state the necessary conditions to produce topological non-trivial corner states in these systems.Joint work with: Giuseppe De Nittis