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

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

2012-02-03

arxiv.org/abs/1202.0838v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures

Scientific paper

We study a lattice model of interacting loops in three dimensions with a $1/r^2$ interaction. Using Monte Carlo, we find 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.

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