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 $\ensuremath{\theta}=\ensuremath{-}0.95\ifmmode\pm\else\textpm\fi{}0.03,$ indicating the absence of a finite temperature phase transition, and the thermal exponent $\ensuremath{\nu}=1.05\ifmmode\pm\else\textpm\fi{}0.03.$ 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 $\ensuremath{\zeta}=3.9\ifmmode\pm\else\textpm\fi{}0.2,$ implying strong chaos.