Quantization of edge currents along magnetic interfaces: A K-theory approach

Abstract: The purpose of this talk is to explain how to describe the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material using K-theory. We initially consider tight-binding magnetic models associated with generic magnetic multi-interfaces and we will describe the K-theoretical setting in which a bulk-interface duality can be derived. Then, we will focus on the (nontrivial) case of the Iwatsuka magnetic field. The exposition is intended to be pedagogical and aimed at a non-specialist audience.

Work in collaboration with: Esteban Gutiérrez

Mathematics

Audience: researchers in the discipline

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Seminario de Geometría y Física - Matemática UCN-USP