Transfer-matrix scaling for anomalous dynamics of a vector spin-glass chain.

Abstract

The transverse dynamics of a one-dimensional vector spin glass at zero temperature is treated by a new transfer-matrix scaling technique, and also by evaluating static critical properties related to dynamics by a crossover argument. A nontrivial dynamic exponent is found which implies that the system at zero temperature has dynamic critical behavior w\ensuremath{\propto}${k}^{3/2}$, in contradiction to the hydrodynamic behavior normally assumed and to the results of previous work.