English

Weak Universality of Spin Glasses in Three Dimensions

Disordered Systems and Neural Networks 2007-05-23 v1

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 ±J\pm J bond distributions undergo finite-temperature phase transitions with a ratio of critical exponents γ/ν=2.4\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.

Keywords

Cite

@article{arxiv.cond-mat/0302432,
  title  = {Weak Universality of Spin Glasses in Three Dimensions},
  author = {Tota Nakamura and Shin-ichi Endoh and Takeo Yamamoto},
  journal= {arXiv preprint arXiv:cond-mat/0302432},
  year   = {2007}
}

Comments

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