Nature of ordering in Potts spin glasses

Abstract
The zero-temperature scaling approach is applied to the three-state Potts spin glass. Our results suggest that the ±J model has a lower critical dimensionality greater than 3, whereas for the Gaussian model this dimensionality is slightly less than 3. The T=0 scaling exponents are estimated in D=2 and 3. The results are based mostly on exact transfer-matrix calculations and on a Monte Carlo quenching procedure.

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