2006/06/07 by Nakamura, Tota
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences
paper · doi:10.48550/arxiv.cond-mat/0606181
Dynamic scaling analyses are performed in the spin-glass phase of the ± J Ising, the \it XY, and the Heisenberg models in three dimensions. We found a crossover from the critical dynamics to the ground-state dynamics in the Ising model and the Heisenberg model. The ground-state dynamics of the Ising model is characterized by an activation law with a finite energy gap: the typical time diverges exponentially. On the other hand, the typical time in the Heisenberg model diverges algebraically with the inverse temperature. Algebraic relaxation with a finite dynamic exponent is observed after the typical time in both models. The ground-state dynamic exponent is estimated to be z0≃ 13, which is common to both models. There is no crossover in the \it XY model. The critical dynamics is considered to continue to the ground-state.