Numerical studies of the 2 and 3D gauge glass at low temperature

TL;DR

This paper uses Monte Carlo simulations to study the gauge glass model in 2D and 3D at low temperatures, revealing a zero-temperature transition in 2D and a finite-temperature transition in 3D, with specific stiffness exponents.

Contribution

It provides the first detailed Monte Carlo analysis of the gauge glass at low temperatures in both 2D and 3D, including precise estimates of the stiffness exponents.

Findings

Zero-temperature transition in 2D gauge glass

Finite-temperature transition in 3D gauge glass

Quantitative estimates of stiffness exponents in both dimensions

Abstract

We report results from Monte Carlo simulations of the two- and three-dimensional gauge glass at low temperature using parallel tempering Monte Carlo. In two dimensions, we find strong evidence for a zero-temperature transition. By means of finite-size scaling, we determine the stiffness exponent theta = -0.39 +/- 0.03. In three dimensions, where a finite-temperature transition is well established, we find theta = 0.27 +/- 0.01, compatible with recent results from domain-wall renormalization group studies.