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A Conjecture for the Superintegrable Chiral Potts Model

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Abstract

We adapt our previous results for the “partition function” of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e−αH, where H is the associated Hamiltonian. The spontaneous magnetization ℳ r can be expressed in terms of particular matrix elements of e−αH S r1 e−βH, where S 1 is a diagonal matrix. We present a conjecture for these matrix elements as an m by m determinant, where m is proportional to the width of the lattice. The author has previously derived the spontaneous magnetization of the chiral Potts model by analytic means, but hopes that this work will facilitate a more algebraic derivation, similar to that of Yang for the Ising model.

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  1. Mathematical Sciences Institute, The Australian National University, Canberra, A.C.T., 0200, Australia

    R. J. Baxter

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Baxter, R.J. A Conjecture for the Superintegrable Chiral Potts Model. J Stat Phys 132, 983–1000 (2008). https://doi.org/10.1007/s10955-008-9588-x

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  • DOI: https://doi.org/10.1007/s10955-008-9588-x

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