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Exact results of potts model on a special kind of Sierpinski carpets

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Zeitschrift für Physik B Condensed Matter

Abstract

With a way different from renormalization group method and graph theory [1, 2], we have calculated the exact partition function, free energy and spin-spin correlation function of Potts model, other than the Ising model, on a special Sierpinski Carpet (SC). The results indicate no phase transition occurs at any finite temperature for the fractal with finite R(the order of ramification) and thus consist with the conclusion produced by renormalization group method and other physical arguments.

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Authors and Affiliations

  1. CCAST(World Laboratory), P.O. Box 8730, 100080, Beijing, People's Republic of China

    Z. R. Yang

  2. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, 100875, Beijing, People's Republic of China

    Shu Chen & Z. R. Yang

Authors
  1. Shu Chen
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  2. Z. R. Yang
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Chen, S., Yang, Z.R. Exact results of potts model on a special kind of Sierpinski carpets. Z. Phys. B - Condensed Matter 99, 445–448 (1995). https://doi.org/10.1007/s002570050060

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  • DOI: https://doi.org/10.1007/s002570050060

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