English

Ferromagnetism in the Blume-Emery-Griffiths model on finite-size Cayley tree

Statistical Mechanics 2015-05-14 v1

Abstract

The ferromagnetic properties of the spin-1 BEG model on finite-size Cayley tree are investigated using the exact recursion method. The spontaneous magnetization of the system is studied in detail for different values of the reduced crystal-field interaction D/J, and it is found that there is an unusual behavior (anti-Curie temperature) when D/J>2.0. We also obtain the Curie temperature of this finite-size system. When the system size is large enough, our results will fit well with that in the thermodynamic limit.

Keywords

Cite

@article{arxiv.0911.5586,
  title  = {Ferromagnetism in the Blume-Emery-Griffiths model on finite-size Cayley tree},
  author = {Wen-Jun Chen and Xiang-Mu Kong},
  journal= {arXiv preprint arXiv:0911.5586},
  year   = {2015}
}

Comments

10 pages, 2 figures