Weak Universality of Spin Glasses in Three Dimensions
classification
❄️ cond-mat.dis-nn
keywords
criticaldimensionsexponentsphasethreetransitionsuniversalityweak
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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 $\gamma/\nu=2.4$. 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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