Numerical study of vortex-glass order in random-superconductor and related spin-glass models

A model of disordered superconducting grains in a strong magnetic field, a related random-gauge glass model, and two versions of an XY spin-glass model with random spin-orbit interactions are discussed. Results from an extensive zero-temperature finite-size scaling study of the defect-wall energy are presented to show that these four models probably belong to a new spin-glass universality class and that the lower critical dimension for a vortex-glass transition at nonzero temperature in these models is slightly below three dimensions.