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

Liang Tian, Hui Ma, Wenan Guo and Lei-Han Tang

The European Physical Journal B: Condensed Matter and Complex Systems, 2013, vol. 86, issue 5, 1-6

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

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:86:y:2013:i:5:p:1-6:10.1140/epjb/e2013-40173-5

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DOI: 10.1140/epjb/e2013-40173-5

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