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

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.

4 pages RevTeX, 2 eps-figures included

References in corpus (5)

• A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?
• Chaos in a Two-Dimensional Ising Spin Glass
• Numerical Study of a Superconducting Glass Model
• Glassiness Vs. Order in Densely Frustrated Josephson Arrays
• Frustrated Systems: Ground State Properties via Combinatorial Optimization

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