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Mathematics  2003 

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

DOI: 10.1088/0305-4470/36/43/015

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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.

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