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Published January 15, 2016 | Published + Submitted
Journal Article Open

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 θ=2π/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.

Additional Information

© 2016 American Physical Society. Received 26 October 2015; published 4 January 2016. This research was supported by the National Science Foundation through Grant No. DMR-1206096, and by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with the support of the Gordon and Betty Moore Foundation. S.G. was supported by an NSERC PGS fellowship and J.L. was supported by an NSF SURF fellowship.

Attached Files

Published - PhysRevB.93.035103.pdf

Submitted - 1510.05972v1.pdf

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