Dynamical scaling study for the estimation of dynamical exponent z of three-dimensional XY spin glass model
Abstract
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.
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