Phase transition dynamics in the three-dimensional ± J Ising model PHASE TRANSITION DYNAMICS in the ... OZAN S. SARIYER

Abstract

By using frustration-preserving hard-spin mean-field theory, we investigated the phase-transition dynamics in the three-dimensional field-free ± J Ising spin-glass model. As the temperature T is decreased from paramagnetic phase at high temperatures, with a rate ω=-dT/dt in time t, the critical temperature depends on the cooling rate through a clear power law ωa. With increasing antiferromagnetic bond fraction p, the exponent a increases for the transition into the ferromagnetic case for p[removed]pc, signaling the ferromagnetic - spin-glass phase transition at pc≈0.22. The relaxation time is also investigated in the adiabatic case ω=0 and the dynamic exponent zν is found to increase with increasing p.