Weak universality of spin-glass transitions in three-dimensional $\pm J$ models

Abstract

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional $\pm J$ models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents $\gamma /\nu \sim 2.4$. Evaluated critical exponents may explain corresponding experimental results. The analyses are based upon nonequilibrium relaxation from a paramagnetic state and finite-time scaling.

14 pages, 7 figures, manuscript revised, incorrect data are withdrawn

References in corpus (3)

• Single spin- and chiral-glass transition in vector spin glasses in three-dimensions
• Domain Wall Renormalization Group Study of XY Model with Quenched Random Phase Shifts
• The antiferromagnetic order in an F-AF random alternating quantum spin chain : (CH_3)_2 CHNH_3 Cu(Cl_x Br_{1-x})_3

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• Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
• Off-equilibrium finite-size method for critical behavior analyses
• Uniform Magnetic Order in a Ferromagnetic-Antiferromagnetic Random Alternating Quantum Spin Chain
• Finite spin-glass transition of the $\pm J$ XY model in three dimensions
• Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line
• Extreme Value Statistics Distributions in Spin Glasses
• Nonequilibrium dynamic-correlation-length scaling method
• Critical behavior and universality in Levy spin glasses
• From measurements to inferences of physical quantities in numerical simulations
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
• Window measurements of simulations in random systems
• A strategy for solving difficulties in spin-glass simulations
• Critical property of spin-glass transition in a bond-disordered classical antiferromagnetic Heisenberg model with a biquadratic interaction
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Overlap renormalization group transformations for disordered systems