Edge-following topological states
arXiv:1908.09559 · doi:10.1016/j.geomphys.2020.103796
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.
27 pages, 7 figures, revised version for publication in J. Geom. Phys