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Phase diagram of a six-state chiral Potts model

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

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.

Suggested Citation

  • Meyer, H. & Anglès d'Auriac, J.C. & Maillard, J-M. & Rollet, G., 1994. "Phase diagram of a six-state chiral Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(1), pages 223-236.
    • Handle: RePEc:eee:phsmap:v:209:y:1994:i:1:p:223-236
    DOI: 10.1016/0378-4371(94)90056-6
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    1. Henri SNEESSENS & Bénédicte MAILLARD, 1988. "Investment, Sales Constraints and Profitability in France, 1957-1985," Discussion Papers (REL - Recherches Economiques de Louvain) 1988022, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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    Cited by:

    1. Boukraa, S. & Hassani, S. & Maillard, J.-M., 1997. "New integrable cases of a Cremona transformation: a finite-order orbits analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 586-621.

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