Work

Walker-Wang models and axion electrodynamics

Year: 2015
Type: article
Abstract: We connect a family of gauge theories (Maxwell theories with a magnetoelectric coupling $\ensuremath{\theta}=2\ensuremath{\pi}k,k\ensuremath{\in}\mathbb{Z}$) 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.
Language: English
Open Access status: green
OpenAlex ID: W1978020945
FWCI: 1.351
Cites: 37
Cited by: 19
Related to: 10