Fluctuation-dissipation ratio of the Heisenberg spin glass

TL;DR

This study uses off-equilibrium Monte Carlo simulations to analyze the fluctuation-dissipation ratio in a three-dimensional Heisenberg spin glass with weak anisotropy, revealing a one-step-like behavior and an effective temperature about twice the transition temperature.

Contribution

It provides the first numerical evidence of the fluctuation-dissipation ratio behavior in the Heisenberg spin glass, supporting the chirality scenario of spin-glass transition.

Findings

FD ratio shows one-step-like behavior

Effective temperature is about twice the transition temperature

Results align with recent experimental observations

Abstract

Fluctuation-dissipation (FD) relation of the three-dimensional Heisenberg spin glass with weak random anisotropy is studied by off-equilibrium Monte Carlo simulation. Numerically determined FD ratio exhibits a ``one-step-ike''behavior, the effective temperature of the spin-glass state being about twice the spin-glass transition temperature, $T_{{\rm eff}}\simeq 2T_g$, irrespective of the bath temperature. The results are discussed in conjunction with the recent experiment by Herisson and Ocio, and with the chirality scenario of spin-glass transition.