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Type: Journal article
Title: Edge-following topological states
Author: Thiang, G.C.
Citation: Journal of Geometry and Physics, 2020; 156:1-17
Publisher: Elsevier
Issue Date: 2020
ISSN: 0393-0440
Statement of
Guo Chuan Thiang
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.
Keywords: Topological insulators; toeplitz algebras; K-theory; bulk-edge correspondence
Rights: © 2020 Elsevier B.V. All rights reserved.
DOI: 10.1016/j.geomphys.2020.103796
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Mathematical Sciences publications

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