Application of a minimum cost flow algorithm to the three-dimensional gauge glass model with screening

TL;DR

This paper applies a minimum cost flow algorithm to study the three-dimensional gauge glass model with screening, accurately determining ground states and critical exponents, revealing no finite temperature transition and strong chaos effects.

Contribution

It introduces an exact ground state calculation method for the 3D gauge glass model with screening using a minimum cost flow algorithm, providing new critical exponent estimates.

Findings

Stiffness exponent theta = -0.95+/-0.03

Thermal exponent nu = 1.05+/-0.03

Chaos exponent zeta = 3.9+/-0.2

Abstract

We study the three-dimensional gauge glass model in the limit of strong screening by using a minimum cost flow algorithm, enabling us to obtain EXACT ground states for systems of linear size L<=48. By calculating the domain-wall energy, we obtain the stiffness exponent theta = -0.95+/-0.03, indicating the absence of a finite temperature phase transition, and the thermal exponent nu=1.05+/-0.03. We discuss the sensitivity of the ground state with respect to small perturbations of the disorder and determine the overlap length, which is characterized by the chaos exponent zeta=3.9+/-0.2, implying strong chaos.