Potts spin glass: a renormalization group approach

The phase transition of the q-state Potts spin-glass model is studied with the real-space renormalization group approach on general diamond hierarchical lattices. The model, with q = 2 up to six Potts states, is investigated for the particular cases of lattices with scaling factor b = 2 and dimensions d = 2 up to 6. For all cases studied, the Gaussian, the uniform, the exponential, and the delta-bimodal probability distributions are considered as the initial probability distribution of coupling constants. For q greater than or equal to 2 the critical temperatures, for the phase transition from the high-temperature paramagnetic to a condensed phase, are estimated for lattices with fractal dimensions greater than or equal to d(l)(q). (C) 2004 Elsevier B.V. All rights reserved.