Phase diagram of a six-state chiral Potts model

H. Meyer, J.C. Anglès d'Auriac, J-M. Maillard and G. Rollet

Physica A: Statistical Mechanics and its Applications, 1994, vol. 209, issue 1, 223-236

Abstract: We study the phase diagram of an isotropic six-state chiral Potts model on a square lattice by means of both exact and numerical methods. The phase diagram of this model presents many similarities with the phase diagrams of the Ashkin-Teller model or the models studied by Zamolodchikov and Monarstirskii. A remarkable line globally invariant under a transformation generalizing the Kramers-Wannier duality seems to correspond to a first order transition line up to a bifurcation point where this line splits into two second order lines. All the numerical calculations are compared with exact results which can be performed using a canonical elliptic parametrization of this model. The bifurcation point is found to correspond to the intersection of a generalized self-dual line with an algebraic curve. This curve corresponds to the set of points of the phase diagram for which a non-trivial infinite symmetry group of the model degenerates into a finite group of order six. The agreement between numerical and analytical results is very good.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:209:y:1994:i:1:p:223-236

DOI: 10.1016/0378-4371(94)90056-6

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