Friday, March 8, 2013

1303.1605 (Liang Tian et al.)

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

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