Dynamical AC study of the critical behavior in Heisenberg spin glasses

TL;DR

This study numerically investigates the critical behavior of Heisenberg spin glasses, focusing on AC susceptibility and relaxation times, suggesting a finite temperature transition possibly linked to chiral-glass phenomena.

Contribution

It provides new numerical evidence for a finite temperature transition in 3D Heisenberg spin glasses and explores the relationship between spin and chiral glass transitions.

Findings

Finite temperature transition at T_c=0.19(4)

Relaxation time diverges as τ∼(T−T_c)^{−zν}

Data suggests spin and chiral glass transitions occur at similar temperatures

Abstract

We present some numerical results for the Heisenberg spin-glass model with Gaussian interactions, in a three dimensional cubic lattice. We measure the AC susceptibility as a function of temperature and determine an apparent finite temperature transition which is compatible with the chiral-glass temperature transition for this model. The relaxation time diverges like a power law $\tau\sim (T-T_c)^{-z\nu}$ with $T_c=0.19(4)$ and $z\nu=5.0(5)$. Although our data indicates that the spin-glass transition occurs at the same temperature as the chiral glass transition, we cannot exclude the possibility of a chiral-spin coupling scenario for the lowest frequencies investigated.