Ising Spin Glasses : interaction distribution dependence of the critical exponents

TL;DR

This paper investigates how the critical exponents of 3D Ising Spin Glasses depend on the kurtosis of the interaction distribution, challenging traditional universality assumptions and suggesting a richer class structure.

Contribution

It demonstrates that the critical exponents in 3D Ising Spin Glasses vary with interaction distribution kurtosis, indicating multiple universality classes.

Findings

Critical exponents vary with kurtosis of interaction distribution

Universality classes for spin glasses are more complex than standard models

Finite size scaling corrections are effectively controlled in simulations

Abstract

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been carried out on Ising Spin Glasses in dimension three, using a technique where corrections to finite size scaling can be controled. The data show that the critical exponents vary strongly as a function of the kurtosis of the interaction distribution, a parameter which from the standard point of view should not be pertinent. This observation implies that for spin glasses the renormalization group analysis should not be approached in a the same way as in the case of canonical second order transitions; a much richer structure of universality classes would appear to exist for spin glasses.