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Monte Carlo study of phase transitions out of symmetry-enriched topological phases of bosons in two dimensions

Lee, Jong Yeon and Geraedts, Scott and Motrunich, Olexei I. (2016) Monte Carlo study of phase transitions out of symmetry-enriched topological phases of bosons in two dimensions. Physical Review B, 93 (3). Art. No. 035103. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20160128-145609595

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.93.035103DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.035103PublisherArticle
http://arxiv.org/abs/1510.05972arXivDiscussion Paper
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
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.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
NSFDMR-1206096
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Record Number:CaltechAUTHORS:20160128-145609595
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160128-145609595
Official Citation:Monte Carlo study of phase transitions out of symmetry-enriched topological phases of bosons in two dimensions Jong Yeon Lee, Scott Geraedts, and Olexei I. Motrunich Phys. Rev. B 93, 035103 – Published 4 January 2016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:64064
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Jan 2016 23:01
Last Modified:13 Dec 2016 03:17

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