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Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions (1510.05972v1)

Published 20 Oct 2015 in cond-mat.stat-mech

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.

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