Spin-glass behavior in the random-anisotropy Heisenberg model

TL;DR

This study uses Monte Carlo simulations to investigate the out-of-equilibrium dynamics of a random anisotropy Heisenberg model, revealing spin-glass-like behavior through aging and Fluctuation Dissipation relation violations.

Contribution

It provides the first detailed simulation-based evidence of spin-glass behavior in a random anisotropy Heisenberg model, aligning with experimental observations.

Findings

Evidence of spin-glass-like aging dynamics

Violation of Fluctuation Dissipation relation

Qualitative similarity to experimental Heisenberg spin glasses

Abstract

We perform Monte Carlo simulations in a random anisotropy magnet at a intermediate exchange to anisotropy ratio. We focus on the out of equilibrium relaxation after a sudden quenching in the low temperature phase, well below the freezing one. By analyzing both the aging dynamics and the violation of the Fluctuation Dissipation relation we found strong evidence of a spin--glass like behavior. In fact, our results are qualitatively similar to those experimentally obtained recently in a Heisenberg-like real spin glass.