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Weak Universality of Spin Glasses in Three Dimensions

Tota Nakamura·Shin-ichi Endoh·Takeo Yamamoto
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Abstract

We point out a possibility of the weak universality of spin-glass phase transitions in three dimensions. The Ising, the XY, and the Heisenberg models with $\pm J$ bond distributions undergo finite-temperature phase transitions with a ratio of critical exponents $γ/ν=2.4$. Evaluated critical exponents agree with corresponding experimental results. The analyses are based upon the nonequilibrium relaxation from the paramagnetic state and the finite-time scaling.

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Tota Nakamura, Shin-ichi Endoh, Takeo Yamamoto. 2003-02-21. Weak Universality of Spin Glasses in Three Dimensions. https://arxiv.org/abs/cond-mat/0302432

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