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

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  • Liang Tian
  • Hui Ma
  • Wenan Guo
  • Lei-Han Tang

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Liang Tian & Hui Ma & Wenan Guo & Lei-Han Tang, 2013. "Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(5), pages 1-6, May.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:5:p:1-6:10.1140/epjb/e2013-40173-5
    DOI: 10.1140/epjb/e2013-40173-5
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    Statistical and Nonlinear Physics;

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