Critical properties of the three- and four-dimensional gauge glass

Abstract

The gauge glass in dimensions 3 and 4 is studied using a variety of numerical methods, in order to obtain accurate and reliable values for the critical parameters. Detailed comparisons are made of the sensitivity of the different techniques to corrections to finite-size scaling, which are generally the major source of systematic error in such measurements. For completeness we also present results in two dimensions. The variation of the critical exponents with space dimension is compared to results in Ising spin glasses.

19 pages, 27 figures, 6 tables

References in corpus (3)

• Numerical studies of the two- and three-dimensional gauge glass at low temperature
• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Size dependence of the internal energy in Ising and vector spin glasses

Cited by in corpus (8)

• Dynamical scaling in Ising and vector spin glasses
• Curvature-induced frustration in the $XY$ model on hyperbolic surfaces
• Ageing and dynamical scaling in the critical Ising spin glass
• Dynamic critical behaviors in two-dimensional Josephson junction arrays with positional disorder
• Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model
• Dynamics of vortex glass phase in strongly type II superconductors
• Dynamics of glass phases in the two-dimensional gauge glass model
• Nonequilibrium critical dynamics of the three-dimensional gauge glass