High-field Polynomial Expansions for the Six-state Planar Potts Model

Abstract

High-field polynomial expansions (through order 9) are derived for the six-state planar Potts model and analysed. Suggestive evidence is found for an intermediate phase in which the exponent 0 varies continuously as a function of temperature. This behaviour is consistent with recent results predicting that the model exhibits two transitions separating a 'topologically ordered' phase analogous to that found in the planar rotor model.