Microlocal analysis of the bulk-edge correspondence
Analysis of PDEs
2020-10-28 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interface. Our approach relies on semiclassical methods. It suggests novel perspectives for the analysis of topologically protected transport.
Cite
@article{arxiv.1909.10474,
title = {Microlocal analysis of the bulk-edge correspondence},
author = {Alexis Drouot},
journal= {arXiv preprint arXiv:1909.10474},
year = {2020}
}
Comments
44 pages