Exact results for the Potts model in two dimensions |
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| Authors: | Hintermann A. Kunz H. Wu F. Y. |
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| Affiliation: | (1) Swiss Institute for Nuclear Research (SIN), Villigen, Switzerland;(2) Laboratoire de Physique Théorique, Ecole Polytechnique Fédérale, Lausanne, Switzerland;(3) Department of Physics, Northeastern University, Boston, Massachusetts |
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| Abstract: | By considering the zeros of the partition function, we establish the following results for the Potts model on the square, triangular, and honeycomb lattices: (i) We show that there exists only one phase transition; (ii) we give an exact determination of the critical point; (iii) we prove the exponential decay of the correlation functions, in one direction at least, for all temperatures above the critical point. The results are established forq  4, whereq is the number of components.Work supported by the Fond. National Suisse de la Recherche Scientifique.Work supported in part by NSF Grant No. DMR 76-20643. |
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| Keywords: | Potts model critical point zeros of partition function correlation function |
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