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

TL;DR

This study uses Monte Carlo simulations to analyze the two-dimensional gauge glass model, providing evidence for a zero-temperature glass transition with diverging correlation times and distinct fluctuation scales.

Contribution

It offers the first detailed finite size scaling analysis of the 2D gauge glass model, demonstrating a zero-temperature glass transition through static and dynamic properties.

Findings

Evidence for a zero-temperature glass transition.

Identification of two diverging correlation times.

Distinct fluctuation scales linked to resistance and local phase changes.

Abstract

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