Edge-following topological states
Mathematical Physics
2020-06-30 v3 Mesoscale and Nanoscale Physics
K-Theory and Homology
math.MP
Operator Algebras
Abstract
We prove that Chern insulators have topologically protected edge states which not only propagate unidirectionally along a straight line boundary, but also swerve around arbitrary-angled corners and geometric imperfections of the material boundary. This is a physical manifestation of the index theory of certain semigroup operator algebras.
Cite
@article{arxiv.1908.09559,
title = {Edge-following topological states},
author = {Guo Chuan Thiang},
journal= {arXiv preprint arXiv:1908.09559},
year = {2020}
}
Comments
27 pages, 7 figures, revised version for publication in J. Geom. Phys