Dynamical simulation of spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses

TL;DR

This study uses dynamical Monte Carlo simulations to investigate spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses, revealing a finite-temperature chiral-glass transition and complex aging behaviors.

Contribution

It provides new evidence of a finite-temperature chiral-glass transition and explores the effects of random magnetic anisotropy on spin and chirality dynamics.

Findings

Finite-temperature chiral-glass transition confirmed.

Chirality autocorrelation shows pronounced aging effects.

Anisotropic case exhibits mixing of spin and chirality dynamics.

Abstract

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied with and without randaom magnetic anisotropy by dynamical Monte Carlo simulations. In isotropic case, clear evidence of a finite-temperature chiral-glass transition is presented. While the spin autocorrelation exhibits only an interrupted aging, the chirality autocorrelation persists to exhibit a pronounced aging effect reminisecnt of the one observed in the mean-field model. In anisotropic case, asymptotic mixing of the spin and the chirality is observed in the off-equilibrium dynamics.