Electric-Magnetic Duality and Topological Insulators

Details Electric-Magnetic Duality and Topological Insulators Electric-Magnetic Duality and Topological Insulators

2009-07-09

arxiv.org/abs/0907.1528v2

Phys.Rev.Lett.103:171601,2009

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages; version accepted by PRL

Scientific paper

10.1103/PhysRevLett.103.171601

We work out the action of the SL(2,Z) electric-magnetic duality group for an insulator with a non-trivial permittivity, permeability and theta-angle. This theory has recently been proposed to be the correct low-energy effective action for topological insulators. As applications, we give manifestly SL(2,Z) covariant expressions for the Faraday rotation at orthogonal incidence at the interface of two such materials, as well as for the induced magnetic and electric charges, slightly clarifying the meaning of expressions previously derived in the literature. We also use electric-magnetic duality to find a gravitational dual for a strongly coupled version of this theory using the AdS/CFT correspondence.

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