Numerical studies of the two- and three-dimensional gauge glass at low temperature

TL;DR

This paper uses Monte Carlo simulations to study the low-temperature behavior of 2D and 3D gauge glasses, providing evidence for a zero-temperature transition in 2D and estimating the stiffness exponents.

Contribution

It offers the first comprehensive Monte Carlo analysis of gauge glasses in both two and three dimensions at low temperatures, including stiffness exponent estimates.

Findings

2D gauge glass transition at T_c=0

Stiffness exponent in 2D: -0.39 +/- 0.03

Stiffness exponent in 3D: 0.27 +/- 0.01

Abstract

We present results from Monte Carlo simulations of the two- and three-dimensional gauge glass at low temperature using the parallel tempering Monte Carlo method. Our results in two dimensions strongly support the transition being at T_c=0. A finite-size scaling analysis, which works well only for the larger sizes and lower temperatures, gives the stiffness exponent theta = -0.39 +/- 0.03. In three dimensions we find theta = 0.27 +/- 0.01, compatible with recent results from domain wall renormalization group studies.