3-STATE POTTS-MODEL SPIN-GLASSES ON HYPERCUBIC LATTICES

We develop high-temperature expansions for the Edwards-Anderson susceptibility of the +/- J three-state Potts spin glasses on d-dimensional hypercubic lattices. For d greater-than-or-equal-to 6, d log Pade approximant analysis yields a second-order phase transition with an exponent gamma consistent with the mean-field value of unity. In lower dimensions the extrapolations are not convergent enough to extract the critical behavior. In d = 3, the series are analyzed assuming various finite- and zero-temperature transitions and their consistency with available Monte Carlo data is studied.