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Type: Journal article
Title: T-duality of topological insulators
Author: Varghese, M.
Thiang, G.
Citation: Journal of Physics A: Mathematical and Theoretical, 2015; 48(42):42FT02-1-42FT02-10
Publisher: IOP Publishing
Issue Date: 2015
ISSN: 1751-8113
Statement of
Varghese Mathai and Guo Chuan Thiang
Abstract: Topological insulators and D-brane charges in string theory can both be classified by the same family of groups. In this paper, we extend this connection via a geometric transform, giving a novel duality of topological insulators which can be viewed as a condensed matter analog of T-duality in string theory. For 2D Chern insulators, this duality exchanges the rank and Chern number of the valence bands.
Keywords: T-duality; topological insulators; Chern number; rank; K-theory; Clifford algebras
Rights: © 2015 IOP Publishing Ltd.
DOI: 10.1088/1751-8113/48/42/42FT02
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Appears in Collections:Aurora harvest 7
Mathematical Sciences publications

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