Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions

Abstract

We study a statistical mechanics model of two species of bosons with mutual statistics $\theta =2\pi /n$ in (2+1) dimensions. This model realizes a fractionalized topological phase of bosons, which is a fractionalized version of the boson integer quantum Hall effect. The model can be studied with sign-free Monte Carlo simulations. We study the phase transitions between the fractionalized topological phase and a trivial insulator, and between different topological phases. We find that these transitions are continuous, and we measure their critical exponents.

11 pages, 10 figures

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Cited by in corpus (6)

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• String order parameters for symmetry fractionalization in an enriched toric code
• Ising versus $SU(2{)}_2$ string-net ladder
• Self-dual criticality in three-dimensional ${\mathbb{Z}}_2$ gauge theory with matter