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Monte Carlo study of a U(1)×U(1) system with π-statistical interaction

Geraedts, Scott D. and Motrunich, Olexei I. (2012) Monte Carlo study of a U(1)×U(1) system with π-statistical interaction. Physical Review B, 85 (4). Art. No. 045114. ISSN 1098-0121.

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We study a U(1)×U(1) system with two species of loops with mutual π statistics in (2 + 1) dimensions. We are able to reformulate the model in a way that can be studied by Monte Carlo and we determine the phase diagram. In addition to a phase with no loops, we find two phases with only one species of loop proliferated. The model has a self-dual line, a segment of which separates these two phases. Everywhere on the segment, we find the transition to be first-order, signifying that the two loop systems behave as immiscible fluids when they are both trying to condense. Moving further along the self-dual line, we find a phase where both loops proliferate, but they are only of even strength and, therefore, avoid the statistical interactions. We study another model, which does not have this phase, and also find first-order behavior on the self-dual segment.

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Additional Information:© 2012 American Physical Society. Received 7 November 2011; revised 17 December 2011; published 17 January 2012. We are grateful to A. Vishwanath, M. P. A. Fisher, and T. Senthil for many stimulating discussions and in particular thank A. Vishwanath for careful reading of the manuscript and useful suggestions. This research is supported by the National Science Foundation through Grant No. DMR-0907145 and by the XSEDE computational initiative Grant No. TGDMR110052.
Group:IQIM, Institute for Quantum Information and Matter
Funding AgencyGrant Number
XSEDE Computational Initiative GrantTG-DMR110052
Classification Code:PACS: 64.60.De
Record Number:CaltechAUTHORS:20121102-141056955
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35272
Deposited By: Tony Diaz
Deposited On:03 Nov 2012 04:53
Last Modified:27 Dec 2012 02:58

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