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Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets

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Abstract

We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q ≥ 1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions.

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Authors and Affiliations

  1. Beijing Computational Science Research Center, 3 Heqing Road, Haidian District, Beijing, 100080, P.R. China

    Liang Tian, Hui Ma & Lei-Han Tang

  2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

    Liang Tian

  3. Department of Physics, Beijing Normal University, Beijing, 100875, P.R. China

    Wenan Guo

  4. Department of Physics and Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Kowloon, Hong Kong, 852, P.R. China

    Lei-Han Tang

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  1. Liang Tian
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  2. Hui Ma
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  3. Wenan Guo
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  4. Lei-Han Tang
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Tian, L., Ma, H., Guo, W. et al. Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets. Eur. Phys. J. B 86, 197 (2013). https://doi.org/10.1140/epjb/e2013-40173-5

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  • DOI: https://doi.org/10.1140/epjb/e2013-40173-5

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