Monte Carlo study of a vortex glass model

Abstract

We describe results of Monte Carlo simulations on a model that seems to have the necessary ingredients to describe a disordered type-II superconductor in a magnetic field. We compute the free energy cost to twist the direction of the phase of the condensate and analyze the results by finite-size scaling. The results show convincingly that the model has different behavior as a function of dimension: in d=4 the model clearly has a finite transition temperature; Tc, while for d=2 only there is only a transition at T=0.

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