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ℤ n Baxter model: Symmetries and the Belavin parametrization

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Abstract

The ℤ n Baxter model is an exactly solvable lattice model in the special case of the Belavin parametrization. For this parametrization we calculate the partition function,κ, in an antiferromagnetic region and the order parameter in a ferromagnetic region. We find that the order parameter is expressible in terms of a modular function of leveln which forn = 2 is the Onsager-Yang-Baxter result. In addition we determine the symmetry group of the finite lattice partition function for the general ℤ n Baxter model.

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Author notes

  1. Matthew P. Richey

    Present address: Department of Mathematics, University of California, 95616, Davis, California

Authors and Affiliations

  1. Department of Mathematics, Dartmouth College, 03755, Hanover, New Hampshire

    Matthew P. Richey

  2. Department of Mathematics, University of California, 95616, Davis, California

    Craig A. Tracy

Authors
  1. Matthew P. Richey
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  2. Craig A. Tracy
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Richey, M.P., Tracy, C.A. ℤ n Baxter model: Symmetries and the Belavin parametrization. J Stat Phys 42, 311–348 (1986). https://doi.org/10.1007/BF01127715

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