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Phases and phase transitions in a U(1) × U(1) system with θ = 2π/3 mutual statistics

Geraedts, Scott D. and Motrunich, Olexei I. (2012) Phases and phase transitions in a U(1) × U(1) system with θ = 2π/3 mutual statistics. Physical Review B, 86 (4). Art. No. 045106. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20120807-095947454

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Abstract

We study a U(1) × U(1) system with short-range interactions and mutual θ = 2π/3 statistics in (2+1) dimensions. We are able to reformulate the model to eliminate the sign problem and perform a Monte Carlo study. We find a phase diagram containing a phase with only small loops and two phases with one species of proliferated loop. We also find a phase where both species of loop condense, but without any gapless modes. Lastly, when the energy cost of loops becomes small, we find a phase that is a condensate of bound states, each made up of three particles of one species and a vortex of the other. We define several exact reformulations of the model that allow us to precisely describe each phase in terms of gapped excitations. We propose field-theoretic descriptions of the phases and phase transitions, which are particularly interesting on the “self-dual” line where both species have identical interactions. We also define irreducible responses useful for describing the phases.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.86.045106DOIUNSPECIFIED
http://prb.aps.org/abstract/PRB/v86/i4/e045106PublisherUNSPECIFIED
http://arxiv.org/abs/1205.1790arXivUNSPECIFIED
Additional Information:© 2012 American Physical Society. Received 8 May 2012; published 9 July 2012. We are thankful to A. Vishwanath, M. P. A. Fisher, T. Senthil, R. Kaul, G. Murthy, J. Moore, N. Read, A. Shapere, and W. Witzak-Krempa for stimulating discussions. This research is supported by the National Science Foundation through grant DMR-0907145; by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and by the XSEDE computational initiative grant TG-DMR110052.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
NSFDMR-0907145
Caltech Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers Center UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
XSEDE computational initiative grantTG-DMR110052
Classification Code:PACS: 64.60.De
Record Number:CaltechAUTHORS:20120807-095947454
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120807-095947454
Official Citation:Geraedts, S. D. and O. I. Motrunich (2012). "Phases and phase transitions in a U(1)×U(1) system with θ=2π/3 mutual statistics." Physical Review B 86(4): 045106.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32972
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:07 Aug 2012 17:10
Last Modified:26 Dec 2012 15:51

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