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

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jsp....88.1295p&link_type=abstract

Journal of Statistical Physics, Volume 88, Issue 5-6, pp. 1295-1331

Physics

6

Ashkin-Teller Model, Random Cluster, Duality, Fkg, Percolation

Scientific paper

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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