### 摘要

We present exact calculations of the Potts model partition function Z(G,q,v) for arbitrary q and temperature-like variable v on strip graphs G of the honeycomb lattice for a variety of transverse widths equal to L _{y} vertices and for arbitrarily great length, with free longitudinal boundary conditions and free and periodic transverse boundary conditions. These partition functions have the form Z(G,q,v)=∑_{j=1}^{NZ},G,λ c_{Z},G,j (λ_{Z},G,j)^{m}, where m denotes the number of repeated subgraphs in the longitudinal direction. We give general formulas for N _{Z,G,j} for arbitrary L _{y} . We also present plots of zeros of the partition function in the q plane for various values of v and in the v plane for various values of q. Plots of specific heat for infinite-length strips are also presented, and, in particular, the behavior of the Potts antiferromagnet at q=(3+√5)\2 is investigated.

原文 | English |
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頁（從 - 到） | 1011-1024 |

頁數 | 14 |

期刊 | Journal of Statistical Physics |

卷 | 130 |

發行號 | 5 |

DOIs | |

出版狀態 | Published - 2008 三月 1 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

## 指紋 深入研究「Exact potts model partition functions for strips of the honeycomb lattice」主題。共同形成了獨特的指紋。

## 引用此

*Journal of Statistical Physics*,

*130*(5), 1011-1024. https://doi.org/10.1007/s10955-007-9461-3