Possible vortex-glass transition in a model random superconductor

We examine, with Monte Carlo simulations, the off-diagonal long-range correlations in a highly simplified model of a three-dimensional disordered superconductor in a magnetic field. Comparisons are made to the three-dimensional Ising and XY Edwards-Anderson spin-glass models. Somewhat surprisingly, the model superconductor behaves very much like the Ising spin glass, suggesting that it too may have a spin-glass-like ordered phase at nonzero temperature, namely the vortex-glass phase.