Quantization of edge currents along magnetic interfaces: A K-theory approach
Mathematical Physics
2020-11-17 v2 Mesoscale and Nanoscale Physics
math.MP
Abstract
The purpose of this paper is to investigate the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material. We consider tight-binding magnetic models associated to generic magnetic multi-interfaces and describe the K-theoretical setting in which a bulk-interface duality can be derived. Then, the (trivial) case of a localized magnetic field and the (non trivial) case of the Iwatsuka magnetic field are considered in full detail. This is a pedagogical preparatory work that aims to anticipate the study of more complicated multi-interface magnetic systems.
Cite
@article{arxiv.2011.05814,
title = {Quantization of edge currents along magnetic interfaces: A K-theory approach},
author = {Giuseppe De Nittis and Esteban Gutiérrez},
journal= {arXiv preprint arXiv:2011.05814},
year = {2020}
}
Comments
60 pages. Keywords: Magnetic interfaces, Iwatsuka Hamiltonian, edge currents, K-theory. v2: a tex-code error has been fixed