Random-Cluster Representation of the Ashkin-Teller Model
Statistical Mechanics
2011-08-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9704017,
title = {Random-Cluster Representation of the Ashkin-Teller Model},
author = {C. -E. Pfister and Y. Velenik},
journal= {arXiv preprint arXiv:cond-mat/9704017},
year = {2011}
}
Comments
To appear in J.Stat.Phys