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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.

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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.

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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
Funding AgencyGrant Number
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
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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
Deposited By: Aucoeur Ngo
Deposited On:07 Aug 2012 17:10
Last Modified:26 Dec 2012 15:51

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