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Dynamic crossover in the spin-glass phase | | Tota Nakamura
; | | Date: |
7 Jun 2006 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | Dynamic scaling analyses are performed in the spin-glass phase of the $pm J$ 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 $z_0simeq 13$, 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. | | Source: | arXiv, cond-mat/0606181 | | Services: | Forum | Review | PDF | Favorites | |
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