An exact formulation of the Blume-Emery-Griffiths model on a two-fold Cayley tree model

被引：0

作者：

E. Albayrak

M. Keskin

机构：

[1] Department of Physics,

[2] Erciyes University,undefined

[3] 38039 Kayseri,undefined

[4] Turkey,undefined

来源：

The European Physical Journal B - Condensed Matter and Complex Systems | 2001年 / 24卷

关键词：

PACS. 05.70.Fh Phase transitions: general studies – 64.60.Cn Order-disorder transformations; statistical mechanics of model systems – 75.10.Hk Classical spin models;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A two-fold Cayley tree graph with fully q-coordinated sites is constructed and the spin-1 Ising Blume-Emery-Griffiths model on the constructed graph is solved exactly using the exact recursion equations for the coordination number q = 3. The exact phase diagrams in (kT/J, K/J ) and (kT/J, D/J) planes are obtained for various values of constants D/J and K/J, respectively, and the tricritical behavior is found. It is observed that when the negative biquadratic exchange (K) and the positive crystal-field (D) interactions are large enough, the tricritical point disappears in the (kT/J, K/J) plane. On the other hand, the system always exhibits a tricritical behavior in the phase diagram of (kT/J, D/J) plane.

引用

页码：505 / 510

页数：5