T-Duality of Topological Insulators
High Energy Physics - Theory
2015-11-20 v4 Other Condensed Matter
Mathematical Physics
math.MP
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
Cite
@article{arxiv.1503.01206,
title = {T-Duality of Topological Insulators},
author = {Varghese Mathai and Guo Chuan Thiang},
journal= {arXiv preprint arXiv:1503.01206},
year = {2015}
}
Comments
12 pages, minor revision for publication in Journal of Physics A: Mathematical and Theoretical (Fast Track Communication)