Finite Temperature Ordering in the Three-Dimensional Gauge Glass

TL;DR

This paper uses Monte Carlo simulations to demonstrate the existence of a finite temperature vortex glass phase in the three-dimensional gauge glass model, providing critical exponents and physical insights.

Contribution

First clear evidence of finite temperature vortex glass phase in 3D gauge glass via Monte Carlo simulations with finite size scaling analysis.

Findings

Finite temperature vortex glass phase confirmed.

Estimated critical exponents: nu=1.39, eta=-0.47, z=4.2.

Calculated resistivity exponent s=4.5.

Abstract

We present results of Monte Carlo simulations of the gauge glass model in three dimensions using exchange Monte Carlo. We show for the first time clear evidence of the vortex glass ordered phase at finite temperature. Using finite size scaling we obtain estimates for the correlation length exponent, nu = 1.39 +/- 0.20, the correlation function exponent, eta = -0.47 +/- 0.07, and the dynamic exponent z = 4.2 +/- 0.6. Using our values for z and nu we calculate the resistivity exponent to be s = 4.5 +/- 1.1. Finally, we provide a plausible lower bound on the the zero-temperature stiffness exponent, theta >= 0.18.