Numerical Study of the Three-Dimensional Gauge Glass Model

TL;DR

This paper numerically analyzes the finite-size scaling of domain wall energies in the 3D gauge glass model, concluding a positive stiffness exponent indicating a stable ordered phase at low temperatures.

Contribution

It provides the first numerical evidence of a positive stiffness exponent in the 3D gauge glass model, suggesting a stable ordered phase at finite temperatures.

Findings

Positive stiffness exponent found

Stable ordered phase at low temperatures

Finite-size scaling analysis conducted

Abstract

We investigate numerically the finite-size scaling properties of the domain wall energies in the three-dimensional gauge glass model. From the analysis of results obtained for systems of linear sizes $3\le L\le 8$ we conclude that the stiffness exponent of the model is positive. This implies the existence of a stable ordered phase at low but finite temperatures.