## 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^{-α H} , where H is the associated Hamiltonian. The spontaneous magnetization M_{r} can be expressed in terms of particular matrix elements of e^{-α H} S _{1} ^{r} e^{-β H} , 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.

Original language | English |
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Pages (from-to) | 983-1000 |

Number of pages | 18 |

Journal | Journal of Statistical Physics |

Volume | 132 |

Issue number | 6 |

DOIs | |

Publication status | Published - Sept 2008 |