Geraedts, Scott D. and Motrunich, Olexei I. (2012) Line of continuous phase transitions in a three-dimensional U(1) loop model with 1/r^2 current-current interactions. Physical Review B, 85 (14). Art. No. 144303. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:20120504-094836233
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We study a lattice model of interacting loops in three dimensions with a 1/r^2 interaction. Using Monte Carlo methods, we have found that the phase diagram contains a line of second-order phase transitions between a phase where the loops are gapped and a phase where they proliferate. The correlation length exponent and critical conductivity vary continuously along this line. Our model is exactly self-dual at a special point on the critical line, which allows us to calculate the critical conductivity exactly at this point.
|Additional Information:||© 2012 American Physical Society. Received 6 February 2012; published 10 April 2012. We are grateful to M. P. A. Fisher, N. Read, T. Senthil, A. Vishwanath, and W. Witczak-Krempa for stimulating discussions. We acknowledge support from the National Science Foundation through Grant No. DMR-0907145; from the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and from the XSEDE Computational Initiative, Grant No. TG-DMR110052.|
|Group:||Institute for Quantum Information and Matter, IQIM|
|Classification Code:||PACS: 64.60.De|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||08 May 2012 18:59|
|Last Modified:||26 Dec 2012 15:09|
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