Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices
Abstract
The Yang-Lee zeros of the Q-state Potts model on recursive lattices are studied for non-integer values of Q. Considering 1D lattice as a Bethe lattice with coordination number equal to two, the location of Yang-Lee zeros of 1D ferromagnetic and antiferromagnetic Potts models is completely analyzed in terms of neutral periodical points. Three different regimes for Yang-Lee zeros are found for Q>1 and 0<Q<1. An exact analytical formula for the equation of phase transition points is derived for the 1D case. It is shown that Yang-Lee zeros of the Q-state Potts model on a Bethe lattice are located on arcs of circles with the radius depending on Q and temperature for Q>1. Complex magnetic field metastability regions are studied for the Q>1 and 0<Q<1 cases. The Yang-Lee edge singularity exponents are calculated for both 1D and Bethe lattice Potts models. The dynamics of metastability regions for different values of Q is studied numerically.
Cite
@article{arxiv.cond-mat/0202441,
title = {Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices},
author = {R. G. Ghulghazaryan and N. S. Ananikian and P. M. A. Sloot},
journal= {arXiv preprint arXiv:cond-mat/0202441},
year = {2009}
}
Comments
15 pages, 6 figures, with corrections