The critical behavior of 3D Ising glass models: universality and scaling corrections

TL;DR

This study uses high-precision Monte Carlo simulations to analyze the critical behavior of three 3D Ising spin-glass models, confirming their universality class and estimating critical exponents and correction terms.

Contribution

It provides the first comprehensive finite-size scaling analysis of these models, establishing universality and accurately estimating correction-to-scaling exponent omega.

Findings

Models share the same universality class

Estimated correction exponent omega=1.0(1)

Critical exponents nu=2.53(8), eta=-0.384(9)

Abstract

We perform high-statistics Monte Carlo simulations of three three-dimensional Ising spin-glass models: the +-J Ising model for two values of the disorder parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for bond-occupation probability p_b = 0.45. A finite-size scaling analysis of the quartic cumulants at the critical point shows conclusively that these models belong to the same universality class and allows us to estimate the scaling-correction exponent omega related to the leading irrelevant operator, omega=1.0(1). We also determine the critical exponents nu and eta. Taking into account the scaling corrections, we obtain nu=2.53(8) and eta=-0.384(9).