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Corner transfer matrices of the chiral Potts model. II. The triangular lattice

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Abstract

We consider a two-dimensional edge-interaction model satisfying the star-triangle relations. For the triangular lattice, the corner transfer matrices are functions of three rapidities: we show that they possess various factorization properties and satisfy certain equations. We indicate how these equations can be solved for the Ising model. We then consider the three-state chiral Potts model and obtain low-temperature solutions to the equations. The conjectured formula for the order parameter (the spontaneous magnetization) is verified to one more order in a series expansion.

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  1. Mathematics and Theoretical Physics, I.A.S., The Australian National University, G.P.O.Box 4, 2601, Canberra, A.C.T., Australia

    R. J. Baxter

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Baxter, R.J. Corner transfer matrices of the chiral Potts model. II. The triangular lattice. J Stat Phys 70, 535–582 (1993). https://doi.org/10.1007/BF01053584

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