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

Tota Nakamura·Shin-ichi Endoh·Takeo Yamamoto
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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 $γ/ν\sim 2.4$. 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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Tota Nakamura, Shin-ichi Endoh, Takeo Yamamoto. 2003-08-27. Weak universality of spin-glass transitions in three-dimensional $\pm J$ models. https://doi.org/10.1088/0305-4470%2F36%2F43%2F015

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