Finite spin-glass transition of the $\pm J$ XY model in three dimensions

Abstract

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of obtained data. The scaling analysis on the relaxation functions of the spin-glass susceptibility and the chiral-glass susceptibility shows that both transitions occur simultaneously. The result is checked by relaxation functions of the Binder parameters and the glass correlation lengths of the spin and the chirality. Every result is consistent if we consider that the transition is driven by the spin degrees of freedom.

arXiv comment11 pages, 8 figures, incorrect arguments are deleted

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• The ordering of XY spin glasses
• Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
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• Nonequilibrium dynamic-correlation-length scaling method
• From measurements to inferences of physical quantities in numerical simulations
• A strategy for solving difficulties in spin-glass simulations
• Window measurements of simulations in random systems
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Dynamical scaling method improved by a deep learning approach