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Potts model on recursive lattices: some new exact results

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Abstract

We compute the partition function of the Potts model with arbitrary values of q and temperature on some strip lattices. We consider strips of width L y  = 2, for three different lattices: square, diced and ‘shortest-path’ (to be defined in the text). We also get the exact solution for strips of the Kagome lattice for widths L y  = 2,3,4,5. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width L y  = 3 and L y  = m + 2, and a strip with variable width. Finally we make some remarks on the Fisher zeros for the Kagome lattice and their large q-limit.

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Authors and Affiliations

  1. Centro de Estudios Científicos (CECS), 5110466, Valdivia, Chile

    P. D. Alvarez & F. Canfora

  2. Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, 22 Santiago, Chile

    S. A. Reyes & S. Riquelme

Authors
  1. P. D. Alvarez
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  2. F. Canfora
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  3. S. A. Reyes
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  4. S. Riquelme
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Corresponding authors

Correspondence to P. D. Alvarez, F. Canfora or S. A. Reyes.

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Alvarez, P.D., Canfora, F., Reyes, S.A. et al. Potts model on recursive lattices: some new exact results. Eur. Phys. J. B 85, 99 (2012). https://doi.org/10.1140/epjb/e2012-10625-7

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  • DOI: https://doi.org/10.1140/epjb/e2012-10625-7

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