TY - JOUR
T1 - Walker-Wang models and axion electrodynamics
AU - Von Keyserlingk, C. W.
AU - Burnell, F. J.
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/1/26
Y1 - 2015/1/26
N2 - We connect a family of gauge theories (Maxwell theories with a magnetoelectric coupling θ=2πk,k∈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.
AB - We connect a family of gauge theories (Maxwell theories with a magnetoelectric coupling θ=2πk,k∈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.
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U2 - 10.1103/PhysRevB.91.045134
DO - 10.1103/PhysRevB.91.045134
M3 - Article
AN - SCOPUS:84921721899
SN - 1098-0121
VL - 91
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 4
M1 - 045134
ER -