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arXiv · 1303.1605

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

Liang Tian·Hui Ma·Wenan Guo·Lei-Han Tang
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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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Liang Tian, Hui Ma, Wenan Guo, Lei-Han Tang. 2013-04-11. Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets. https://doi.org/10.1140/epjb%2Fe2013-40173-5

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