Unscreened universality class for superconductors with columnar disorder

The phase transition in a model for vortex lines in high temperature superconductors with columnar defects, i.e., linearly correlated quenched random disorder, is studied with finite size scaling and Monte Carlo simulations. Previous studies of critical properties have mainly focused on the limit of strongly screened vortex line interactions. Here the opposite limit of weak screening is considered. The simulation results provide evidence for a new universality class, with new critical exponents that differ from the case of strong screening of the vortex interaction. In particular, scaling is anisotropic and characterized by a nontrivial value of the anisotropy exponent $\zeta=\nu_\parallel/\nu_\perp$. The exponents we find, $\zeta = 1.25 \pm 0.1, \nu_\perp=1.0 \pm 0.1, z = 1.95 \pm 0.1$, are similar to certain experimental results on YBCO.