Topological edge spectrum along curved interfaces
Mathematical Physics
2023-11-03 v1 Mesoscale and Nanoscale Physics
math.MP
Spectral Theory
Quantum Physics
Abstract
We prove that that if the boundary of a topological insulator divides the plane in two regions containing arbitrarily large balls, then it acts as a conductor. Conversely, we show that topological insulators that fit within strips do not need to admit conducting boundary modes.
Cite
@article{arxiv.2311.00918,
title = {Topological edge spectrum along curved interfaces},
author = {Alexis Drouot and Xiaowen Zhu},
journal= {arXiv preprint arXiv:2311.00918},
year = {2023}
}
Comments
20 pages, 4 figures