Liang Tian, Hui Ma, Wenan Guo, Lei-Han Tang
Published 2013-03-07, updated 2013-04-11Version 2
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.
Comments: 6 pages, 6 figures; figures corrected
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