Tri-critical behavior of the Blume Capel model on a diamond lattice

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

卷:423

Article

Santos, Jander P.^1,2  Sa Barreto, F. C.^1,3  Rosa, D. S.⁴ 

[1] Univ Fed Sao Joao Rei, Dept Ciencias Naturais, BR-36301 Sao Jose Dos Campos, MG, Brazil

[2] Univ Fed Sao Joao Rei, Dept Math, BR-36301 Sao Jose Dos Campos 36301160, Brazil

[3] Univ Fed Minas Gerais, Dept Fisica, Emeritus Prof, BR-31270 Belo Horizonte, MG, Brazil

[4] Univ Estadual Paulista, Inst Fisica Teer, BR-01140 Sao Paulo, Brazil

关键词: Blume-Capel model;    Diamond lattice;    Critical temperature;   

DOI  :  10.1016/j.jmmm.2016.09.086

来源: Elsevier

【 摘 要 】

The mean field approximation results are obtained in a five-site cluster on the diamond lattice from the Bogoliubov inequality. Spin correlation identities for the Blume-Capel model on diamond lattice are derived from a five-site cluster and used to obtain an effective field approximation. The free-energy, magnetization, critical frontiers and tricritical points are obtained from the mean field approximation and the effective field approximation and are compared to those obtained by other methods. From the mean-field approximation, we also studied the unstable and metastable states besides the stable states present in the model.

【 授权许可】

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