Tricritical point of J1-J2 Ising model on hyperbolic lattice
Statistical Mechanics
2009-06-12 v3
Abstract
A ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormalization group method. The model contains ferromagnetic nearest-neighbor interaction J_1 and the competing antiferromagnetic interaction J_2. A mean-field like second-order phase transition is observed when the ratio \kappa = J_2 / J_1 is less than 0.203. In the region 0.203 < \kappa < 1/4, the spontaneous magnetization is discontinuous at the transition temperature. Such tricritical behavior suggests that the phase transitions on hyperbolic lattices need not always be mean-field like.
Keywords
Cite
@article{arxiv.0807.0150,
title = {Tricritical point of J1-J2 Ising model on hyperbolic lattice},
author = {R. Krcmar and T. Iharagi and A. Gendiar and T. Nishino},
journal= {arXiv preprint arXiv:0807.0150},
year = {2009}
}
Comments
7 pages, 13 figures, submitted to Phys. Rev. E