The Bimodal Ising Spin Glass in dimension three : Corrections to scaling

TL;DR

This paper presents large-scale numerical data on the 3D bimodal Ising spin glass, revealing complex corrections to scaling and suggesting a higher ordering temperature than previously estimated, challenging assumptions about universality classes.

Contribution

It provides extensive numerical analysis showing non-monotonic corrections to scaling and a higher critical temperature, questioning the universality class equivalence.

Findings

Corrections to scaling are non-monotonic with size.

The estimated critical temperature is significantly higher.

Results challenge the universality class assumption.

Abstract

Equilibrium numerical data on the three dimensional bimodal interaction Ising spin glass up to size L=48 show that corrections to scaling, which are known to be strong, behave in a non-monotonic manner with size. Extrapolation to the infinite size thermodynamic limit is difficult; however the large L data indicate that the ordering temperature Tc lies significantly higher than the values which have been estimated from previous numerical work limited to smaller sizes. In view of the present results it is at the least premature to conclude that the three dimensional bimodal and Gaussian Ising spin glasses lie in the same universality class.