Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets
Disordered Systems and Neural Networks
2015-06-15 v2 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.1303.1605,
title = {Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets},
author = {Liang Tian and Hui Ma and Wenan Guo and Lei-Han Tang},
journal= {arXiv preprint arXiv:1303.1605},
year = {2015}
}
Comments
6 pages, 6 figures; figures corrected