Monte Carlo Study of a Three-Dimensional Vortex Glass Model with Screening

TL;DR

This study uses Monte Carlo simulations to analyze how screening affects the vortex glass transition in 3D superconductors, revealing that screening eliminates the finite-temperature transition and results in a zero-temperature transition with a specific correlation length exponent.

Contribution

It provides new insights into the impact of vortex screening on the vortex glass transition, showing the transition occurs only at zero temperature.

Findings

Screening destroys the finite-temperature vortex glass transition.

The zero-temperature transition has a correlation length exponent of approximately 1.05.

Screening significantly alters the critical behavior of the vortex glass model.

Abstract

We investigate the critical behavior of the gauge glass model for the vortex glass transition in three-dimensional superconductors, including screening of the interaction between vortices. A Monte Carlo study of the linear resistivity and a scaling analysis of current--voltage characteristics indicates that screening destroys the finite--temperature transition found earlier when screening was neglected. The correlation length exponent at the resulting zero temperature transition is found to be $\nu=1.05 \pm 0.1$.