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Published April 10, 2012 | Published
Journal Article Open

Line of continuous phase transitions in a three-dimensional U(1) loop model with 1/r^2 current-current interactions

Abstract

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.

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