Random-Cluster Representation of the Ashkin-Teller Model

Details Random-Cluster Representation of the Ashkin-Teller Model Random-Cluster Representation of the Ashkin-Teller Model

1997-04-02

arxiv.org/abs/cond-mat/9704017v1

J. Statist. Phys., Vol. 88, Nr. 5-6 (1997) , p. 1295--1331

Physics

Condensed Matter

Statistical Mechanics

To appear in J.Stat.Phys

Scientific paper

10.1007/BF02732435

We show that a class of spin models, containing the Ashkin-Teller model, admits a generalized random-cluster (GRC) representation. Moreover we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random-cluster model. Some elementary consequences are given. We also consider the duality transformations in the spin representation and in the GRC model and show that they commute.

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