Weak Universality of Spin Glasses in Three Dimensions

Abstract

Summary. 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 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.