Instanton effects in lattice models of bosonic symmetry-protected topological states
arXiv:1512.06864 · doi:10.1103/PhysRevB.93.155145
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.
8 pages; 2 figures. New references and comments added in the published version
References in corpus (9)
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological Field Theory of Time-Reversal Invariant Insulators
- Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
- Symmetry protected Spin Quantum Hall phases in 2-Dimensions
- Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory
- Rokhsar-Kivelson Models of Bosonic Symmetry-Protected Topological States
- Stroboscopic Symmetry-Protected Topological Phases
- Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
- Walker-Wang models and axion electrodynamics