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

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

2003-05-14

arxiv.org/abs/cond-mat/0305314v2

J. Phys. A: Math. Gen. 36 No. 43 (2003) 10895

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 7 figures, manuscript revised, incorrect data are withdrawn

Scientific paper

10.1088/0305-4470/36/43/015

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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