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arxiv: cond-mat/0305314 · v2 · submitted 2003-05-14 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech

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

classification ❄️ cond-mat.dis-nn cond-mat.stat-mech
keywords modelstransitionscriticalexponentsphasespin-glassthree-dimensionaluniversality
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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.

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