1202.0838 (Scott D. Geraedts et al.)

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

Scott D. Geraedts, Olexei I. Motrunich

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.

View original: http://arxiv.org/abs/1202.0838