The Ferromagnetic Potts model under an external magnetic field: an exact renormalization group approach
Abstract
The q-state ferromagnetic Potts model under a non-zero magnetic field coupled with the 0^th Potts state was investigated by an exact real-space renormalization group approach. The model was defined on a family of diamond hierarchical lattices of several fractal dimensions d_F. On these lattices, the renormalization group transformations became exact for such a model when a correlation coupling that singles out the 0^th Potts state was included in the Hamiltonian. The rich criticality presented by the model with q=3 and d_F=2 was fully analyzed. Apart from the Potts criticality for the zero field, an Ising-like phase transition was found whenever the system was submitted to a strong reverse magnetic field. Unusual characteristics such as cusps and dimensional reduction were observed on the critical surface.
Keywords
Cite
@article{arxiv.cond-mat/0608524,
title = {The Ferromagnetic Potts model under an external magnetic field: an exact renormalization group approach},
author = {Sergio Coutinho and Welles A. M. Morgado and Evaldo M. F. Curado and Ladario da Silva},
journal= {arXiv preprint arXiv:cond-mat/0608524},
year = {2009}
}
Comments
8 pages, 6 figures. Accepted to be published in Phys. Rev B (2006)