Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros

H. Feldmann; A. J. Guttmann; I; Jensen; R. Shrock; S. -H. Tsai

doi:10.1088/0305-4470/31/10/007

Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros

Statistical Mechanics 2009-10-31 v1 High Energy Physics - Lattice

Authors: H. Feldmann , A. J. Guttmann , I , Jensen , R. Shrock , S. -H. Tsai

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Abstract

We present and analyze low-temperature series and complex-temperature partition function zeros for the $q$ -state Potts model with $q=4$ on the honeycomb lattice and $q=3,4$ on the triangular lattice. A discussion is given as to how the locations of the singularities obtained from the series analysis correlate with the complex-temperature phase boundary. Extending our earlier work, we include a similar discussion for the Potts model with $q=3$ on the honeycomb lattice and with $q=3,4$ on the kagom\'e lattice.

Keywords

Potts model honeycomb lattice triangular lattice low-temperature series partition function zeros complex-temperature phase boundary

Cite

@article{arxiv.cond-mat/9801305,
  title  = {Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros},
  author = {H. Feldmann and A. J. Guttmann and I and Jensen and R. Shrock and S. -H. Tsai},
  journal= {arXiv preprint arXiv:cond-mat/9801305},
  year   = {2009}
}

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33 pages, Latex, 9 encapsulated postscript figures, J. Phys. A, in press

Study of the Potts Model on the Honeycomb and Triangular Lattices: Low-Temperature Series and Partition Function Zeros

Abstract

Keywords

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