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Some Remarks on a Generalization of the Superintegrable Chiral Potts Model

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Abstract

The spontaneous magnetization of a two-dimensional lattice model can be expressed in terms of the partition function W of a system with fixed boundary spins and an extra weight dependent on the value of a particular central spin. For the superintegrable case of the chiral Potts model with cylindrical boundary conditions, W can be expressed in terms of reduced Hamiltonians H and a central spin operator S. We conjectured in a previous paper that W can be written as a determinant, similar to that of the Ising model. Here we generalize this conjecture to any Hamiltonians that satisfy a more general Onsager algebra, and give a conjecture for the elements of S.

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  1. Mathematical Sciences Institute, The Australian National University, Canberra, ACT, 0200, Australia

    R. J. Baxter

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Baxter, R.J. Some Remarks on a Generalization of the Superintegrable Chiral Potts Model. J Stat Phys 137, 798–813 (2009). https://doi.org/10.1007/s10955-009-9778-1

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  • DOI: https://doi.org/10.1007/s10955-009-9778-1

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