Dynamics of the normal to vortex-glass transition: Mean-field theory and fluctuations

Abstract

A mean-field theory is developed for the recently proposed normal to superconducting vortex-glass transition. Using techniques developed to study the critical dynamics of spin glasses, we calculate the mean-field vortex-glass boundary Tg(H), and find that the dynamic critical exponent z=4 in mean-field theory. In addition, we find that the fluctuation conductivity in the vicinity of the transition has the form (2-d+z), in agreement with recent scaling theories of the transition. The extension of these results beyond the mean-field regime is also discussed. © 1992 The American Physical Society.