Pacific Institute for the Mathematical Sciences - PIMS

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

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 (non trivial) case of the Iwatsuka magnetic field. The exposition is intended to be pedagogical and aimed at a non-specialist audience

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