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1983•Journal of Physics A Mathematical and GeneralOpen access

q-state Potts model on the checkerboard lattice

R. Rammal, J.-M. Maillard

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Abstract

A large q expansion of the partition function of the checkerboard q-state Potts model is given up to sixth order in q -1 2/. This expansion is used to discuss the following two points. First, on the critical manifold, the large q expansion agrees up to this order, with the 'minimal' solution suggested by the group structure associated with this model. Secondly, the latent heat and some correlation functions are discussed from the point of view of their functional dependence in the parameters.

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A large q expansion of the partition function of the checkerboard q-state Potts model is given up to sixth order in q -1 2/. This expansion is used to discuss the following two points. First, on the critical manifold, the large q expansion agrees up to this order, with the 'minimal' solution suggested by the group structure associated with this model. Secondly, the latent heat and some correlation functions are discussed from the point of view of their functional dependence in the parameters.

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Available abstract

A large q expansion of the partition function of the checkerboard q-state Potts model is given up to sixth order in q -1 2/. This expansion is used to discuss the following two points. First, on the critical manifold, the large q expansion agrees up to this order, with the 'minimal' solution suggested by the group structure associated with this model. Secondly, the latent heat and some correlation functions are discussed from the point of view of their functional dependence in the parameters.

Key concepts: Checkerboard, Potts model, Chiral Potts curve, Lattice (music), Critical point (mathematics), Partition function (quantum field theory), Mathematics, Statistical physics

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