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Electric-magnetic duality and topological insulators.

Authors
  • 1
  • 1 Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.
Type
Published Article
Journal
Physical Review Letters
1079-7114
Publisher
American Physical Society
Publication Date
Volume
103
Issue
17
Pages
171601–171601
Identifiers
PMID: 19905746
Source
Medline
License
Unknown

Abstract

We work out the action of the SL(2,Z) electric-magnetic duality group for an insulator with a nontrivial 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 gauge/gravity correspondence.

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