Ising Spin Glasses in dimension five

TL;DR

This paper investigates five-dimensional Ising spin glasses with various interaction distributions, revealing that critical exponents and observables depend on the model, indicating multiple universality classes in this dimension.

Contribution

The study provides detailed numerical evidence that five-dimensional Ising spin glasses with different distributions belong to distinct universality classes, extending previous findings from lower dimensions.

Findings

Critical exponents vary with interaction distribution.

Models with different distributions are in separate universality classes.

Results confirm dimension-dependent universality class behavior.

Abstract

Ising spin glass models with bimodal, Gaussian, uniform and Laplacian interaction distributions in dimension five are studied through detailed numerical simulations. The data are analyzed in both the finite-size scaling regime and the thermodynamic limit regime. It is shown that the values of critical exponents and of dimensionless observables at criticality are model dependent. Models in a single universality class have identical values for each of these critical parameters, so Ising spin glass models in dimension five with different interaction distributions each lie in different universality classes. This result confirms conclusions drawn from measurements in dimension four and dimension two.