Numerical simulations on the 4d Heisenberg spin glass

TL;DR

This paper investigates the 4d Heisenberg spin glass model through numerical simulations, providing evidence for a finite temperature spin glass transition and estimating critical exponents consistent with theoretical predictions.

Contribution

It offers the first detailed finite size scaling analysis of the 4d Heisenberg spin glass, confirming the existence of a finite temperature transition and aligning numerical results with epsilon-expansion.

Findings

Evidence for finite temperature spin glass transition

Critical exponents agree with epsilon-expansion results

Finite size scaling analysis confirms theoretical predictions

Abstract

We study the 4d Heisenberg spin glass model with Gaussian nearest-neighbor interactions. We use finite size scaling to analyze the data. We find a behavior consistent with a finite temperature spin glass transition. Our estimates for the critical exponents agree with the results from epsilon-expansion.