Microscopic Realization of 2-Dimensional Bosonic Topological Insulators

Abstract

It is well known that a Bosonic Mott insulator can be realized by condensing vortices of a bo- son condensate. Usually, a vortex becomes an anti-vortex (and vice-versa) under time reversal symmetry, and the condensation of vortices results in a trivial Mott insulator. However, if each vortex or anti-vortex interacts with a spin trapped at its core, the time reversal transformation of the composite vortex operator will contain an extra minus sign. It turns out that such a composite vortex condensed state is a bosonic topological insulator (BTI) with gapless boundary excitations protected by $U(1)⋊Z_2^T$ symmetry. We point out that in BTI, an external $\pi$ flux monodromy defect carries a Kramers doublet. We propose lattice model Hamiltonians to realize the BTI phase, which might be implemented in cold atom systems or spin-1 solid state systems.

5 pages + supplementary material

References in corpus (6)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• A classification of symmetry enriched topological phases with exactly solvable models
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Mutual Chern-Simons theory for Z_2 topological order
• Symmetry protected Spin Quantum Hall phases in 2-Dimensions

Cited by in corpus (10)

• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Construction of bosonic symmetry-protected-trivial states and their topological invariants via $G\times SO(\infty )$ non-linear $\sigma$-models
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Symmetry-protected Topological Phases at Finite Temperature
• Symmetry Enrichment in Three-Dimensional Topological Phases
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Hidden order and flux attachment in symmetry protected topological phases: a Laughlin-like approach
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Solvable lattice model for (2+1)D bosonic topological insulator