Eur. Phys. J. B (2013) 86: 197
https://doi.org/10.1140/epjb/e2013-40173-5

Regular Article

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

¹ Beijing Computational Science Research Center, 3 Heqing Road, Haidian District, Beijing 100080, P.R. China
² College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China
³ Department of Physics, Beijing Normal University, Beijing 100875, P.R. China
⁴ Department of Physics and Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Kowloon, Hong Kong 852, P.R. China

Received: 4 February 2013
Received in final form: 2 March 2013
Published online: 29 April 2013

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.