Critical exponents in Ising Spin Glasses

TL;DR

This study uses extensive simulations to analyze critical exponents in five-dimensional Ising Spin Glasses, revealing that these exponents depend on the interaction distribution, challenging the notion of universality.

Contribution

The paper provides the first detailed simulation-based analysis showing non-universality of critical exponents in ISGs with different interaction distributions.

Findings

Critical exponents vary with interaction distribution.

Susceptibility and correlation length exponents depend on the distribution.

Universality does not hold for critical exponents in ISGs.

Abstract

Extensive simulations are made of the spin glass susceptibility and correlation length in five dimension Ising Spin Glasses (ISGs) with Gaussian and bimodal interaction distributions. Once the transition temperature is accurately established using a standard criterion, critical exponents and correction terms can be readily estimated by extrapolating measurements made in the thermodynamic limit regime. The data show that the critical exponents of the susceptibility $\gamma$ and of the correlation length $\nu$ depend on the form of the interaction distribution. This observation implies that quite generally critical exponents are not universal in ISGs.