Weak Universality of Spin Glasses in Three Dimensions

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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5 pages, 2 figures, an article for the Proceedings of the 2003 CSP workshop at The University of Georgia

Scientific paper

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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