Adelaide Research & Scholarship
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https://hdl.handle.net/2440/101158
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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 1751-8121 |
| Statement of Responsibility: | 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 |
| Grant ID: | http://purl.org/au-research/grants/arc/DP110100072 http://purl.org/au-research/grants/arc/DP150100008 http://purl.org/au-research/grants/arc/DP130103924 |
| Published version: | http://dx.doi.org/10.1088/1751-8113/48/42/42ft02 |
| Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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