Global Bethe lattice consideration of the spin-1 Ising model

Details Global Bethe lattice consideration of the spin-1 Ising model Global Bethe lattice consideration of the spin-1 Ising model

1995-09-26

arxiv.org/abs/cond-mat/9509158v2

Physics

Condensed Matter

Latex, 11 pages, 13 ps figures available upon request

Scientific paper

10.1088/0305-4470/29/4/004

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.

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