Spin and chirality autocorrelation functions of a Heisenberg spin-glass model

Abstract

We study the spin and the chirality autocorrelation functions ${C}_{S}(t)$ and ${C}_{\ensuremath{\chi}}(t)$ of the $\ifmmode\pm\else\textpm\fi{}J$ Heisenberg model in three dimensions to examine the chirality mechanism of the spin-glass (SG) phase transition proposed by Kawamura, which says that it is not the spins but the chiralities of the spins that are ordered in Heisenberg SG systems. Using a dynamical simulation method that removes the drift of the system, we show that an apparent difference in the dynamics between the spin and chirality comes from the drift and suggest that the spins and the chiralities are ordered simultaneously.