Global Bethe lattice consideration of the spin-1 Ising model
Condensed Matter
2009-10-28 v2
Abstract
The spin-1 Ising model with bilinear and biquadratic exchange interactions and single-ion crystal field is solved on the Bethe lattice using exact recursion equations. The general procedure of critical properties investigation is discussed and full set of phase diagrams are constructed for both positive and negative biquadratic couplings. In latter case we observe all remarkable features of the model, uncluding doubly-reentrant behavior and ferrimagnetic phase. A comparison with the results of other approximation schemes is done.
Keywords
Cite
@article{arxiv.cond-mat/9509158,
title = {Global Bethe lattice consideration of the spin-1 Ising model},
author = {A. Z. Akheyan and N. S. Ananikian},
journal= {arXiv preprint arXiv:cond-mat/9509158},
year = {2009}
}
Comments
Latex, 11 pages, 13 ps figures available upon request