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

Abstract

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional J models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical exponents γ/ 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.

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