T-Duality of Topological Insulators
arXiv:1503.01206 · doi:10.1088/1751-8113/48/42/42FT02
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.
12 pages, minor revision for publication in Journal of Physics A: Mathematical and Theoretical (Fast Track Communication)
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- Bulk-edge correspondence and the cobordism invariance of the index
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- The Geometry of (non-Abelian) Landau levels
- T-duality and the bulk-boundary correspondence
- Duality and higher Buscher rules in p-form gauge theory and linearized gravity
- Fractonic self-duality and covariant magnetic fractons
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