A disordered and frustrated Potts model is described which exhibits a number of curious features. For the m-state model the authors find a spin glass transition which within replica symmetric theory is continuous for m<or=6 but discontinuous for m>6. Replica symmetry breaking effects are much stronger than for conventional systems and the conventional Parisi ansatz fails for m>or=4. At low temperatures an infinite-range model is always finally ferromagnetic.
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Elderfield et al. (1983) studied this question.
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