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

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

1998-06-30

arxiv.org/abs/cond-mat/9806379v1

Phys. Rev. B 58, R8873 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, 2 eps-figures included

Scientific paper

10.1103/PhysRevB.58.R8873

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.

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