Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses

TL;DR

This study investigates off-equilibrium dynamics in 3D Gaussian spin glasses at very low temperatures, confirming power-law behavior and providing new insights into the dynamical critical exponent and fluctuation-dissipation violations.

Contribution

It offers a comprehensive numerical analysis of off-equilibrium dynamics in 3D spin glasses, including the dynamical critical exponent and fluctuation-dissipation theorem violations at low temperatures.

Findings

Power-law behavior of the dynamical correlation length confirmed.

Dynamical critical exponent z(T) = 6.2/T established.

Violation of fluctuation-dissipation theorem observed at low T.

Abstract

We present a high statistic systematic study of the overlap correlation function well below the critical temperature in the three dimensional Gaussian spin glass. The off-equilibrium correlation function has been studied confirming the power law behavior for the dynamical correlation length. In particular we have computed the dynamical critical exponent $z$ in a wide range of temperatures, $0.35 \le T \le 0.9$, obtaining a dependence $z(T)=6.2/T$ in a very good agreement with recent experiments. Moreover, we report a study of the violation of the fluctuation-dissipation theorem for very low temperatures $T=0.5$ and $T=0.35$. All our numerical results avoid a droplet model interpretation even when $T$ is as low as $T=0.35$.