Dynamical scaling study for the estimation of dynamical exponent $z$ of three-dimensional XY spin glass model
Statistical Mechanics
2026-02-23 v5 Disordered Systems and Neural Networks
Abstract
To analyze the XY spin-glass in three dimensions, we verified a method aimed at obtaining a high-precision dynamical exponent from the correlation length in the nonequilibrium relaxation process. The obtained yielded consistent and highly accurate results in previous studies for relatively well-studied models -- specifically, the three-dimensional (3D) ferromagnetic Ising model and the 3D Ising model. Building on these previous studies, we used this method and the dynamical scaling method to analyze the 3D XY model and obtained highly precise critical temperatures and exponents. These findings support the spin chirality decoupling picture, explaining the experimental spin-glass phase transition.
Cite
@article{arxiv.2503.06386,
title = {Dynamical scaling study for the estimation of dynamical exponent $z$ of three-dimensional XY spin glass model},
author = {Yusuke Terasawa and Yukiyasu Ozeki},
journal= {arXiv preprint arXiv:2503.06386},
year = {2026}
}