2025/03/09 by Terasawa, Yusuke, Ozeki, Yukiyasu
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2503.06386
To analyze the ± J XY spin-glass in three dimensions, we verified a method aimed at obtaining a high-precision dynamical exponent z from the correlation length in the nonequilibrium relaxation process. The obtained z 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 ± J Ising model. Building on these previous studies, we used this method and the dynamical scaling method to analyze the 3D ± J 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.