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Instanton effects in lattice models of bosonic symmetry-protected topological states

Authors
  • Santos, Luiz H.
  • Fradkin, Eduardo
Type
Published Article
Publication Date
Apr 22, 2016
Submission Date
Dec 21, 2015
Identifiers
DOI: 10.1103/PhysRevB.93.155145
Source
arXiv
License
Yellow
External links

Abstract

Bosonic symmetry-protected topological (SPT) states are gapped disordered phases of matter possessing symmetry-preserving boundary excitations. It has been proposed that, at long wavelengths, the universal properties of an SPT system are captured by an effective non-linear sigma model field theory in the presence of a quantized topological theta-term. By studying lattice models of bosonic SPT states, we are able to identify, in their Euclidean path integral formulation, (discrete) Berry phases that hold relevant physical information on the nature of the SPT ground states. These discrete Berry phases are given intuitive physical interpretation in terms of instanton effects that capture the presence of a theta-term on the microscopic scale.

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