Walker-Wang models and axion electrodynamics

C. W. von Keyserlingk and F. J. Burnell
Phys. Rev. B 91, 045134 – Published 26 January 2015

Abstract

We connect a family of gauge theories (Maxwell theories with a magnetoelectric coupling θ=2πk,kZ) to the family of 3D topological lattice models introduced by Walker and Wang. In particular, we show that the lattice Hamiltonians capture a certain strong-coupling limit of these gauge theories, in which the system enters a gapped (confined) phase. We discuss the relationship between the topological order exhibited by certain of these lattice Hamiltonians and the characteristic electromagnetic response of the symmetry-protected bosonic topological insulator.

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  • Received 15 September 2014

DOI:https://doi.org/10.1103/PhysRevB.91.045134

©2015 American Physical Society

Authors & Affiliations

C. W. von Keyserlingk1,2 and F. J. Burnell3

  • 1Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, United Kingdom
  • 2Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA
  • 3Department of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

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Issue

Vol. 91, Iss. 4 — 15 January 2015

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