Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model

摘要

We investigate dynamic scaling properties of the two-dimensional gauge glassmodel for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finitesize scaling behavior, where the static simulations use a temperature exchangemethod to ensure convergence at low temperatures. Both static and dynamicscaling of Monte Carlo data is consistent with a glass transition at zerotemperature. We study a dynamic correlation function for the superconductingorder parameter, as well as the phase slip resistance. From the scaling ofthese two functions, we find evidence for two distinct diverging correlationtimes at the zero temperature glass transition. The longer of these time scalesis associated with phase slip fluctuations across the system that lead tofinite resistance at any finite temperature, while the shorter time scale isassociated with local phase fluctuations.