Dynamical AC study of the critical behavior in Heisenberg spin glasses

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.

arXiv comment7 pages, 4 figures

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• From measurements to inferences of physical quantities in numerical simulations
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• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models