## Abstract

The N-state chiral Potts model in lattice statistical mechanics can be obtained as a "descendant" of the six-vertex model, via an intermediate "Q" or "τ _{2} (t _{q})" model. Here we generalize this to obtain a column-inhomogeneous τ _{2} (t _{q}) model, and derive the functional relations satisfied by its row-to-row transfer matrix. We do not need the usual chiral Potts relations between the Nth powers of the rapidity parameters a _{p}, b _{p}, c _{p}, d _{p} of each column. This enables us to readily consider the case of fixed-spin boundary conditions on the left and right-most columns. We thereby re-derive the simple direct product structure of the transfer matrix eigenvalues of this model, which is closely related to the superintegrable chiral Potts model with fixed-spin boundary conditions.

Original language | English |
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Pages (from-to) | 1-25 |

Number of pages | 25 |

Journal | Journal of Statistical Physics |

Volume | 117 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Oct 2004 |

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