Correlation identities and rigorous upper bounds on the critical temperature for the spin-1 Blume–Capel model on a Kagome lattice

Spin correlation identities for the Blume–Capel model on Kagome lattice are derived and combined with rigorous correlation inequalities lead to upper bounds on the critical temperature. From the spin correlation identities the mean field approximation and the effective field approximation results fo...

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Bibliographic Details
Published inPhysica A Vol. 421; pp. 548 - 561
Main Authors Santos, Jander P., Sá Barreto, F.C.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2015
Subjects
Approximation
Blume–Capel model
Correlation
Critical temperature
Inequalities
Kagome lattice
Magnetization
Mathematical analysis
Statistical mechanics
Upper bounds
Kagome lattice
Critical temperature
Blume–Capel model
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Summary:Spin correlation identities for the Blume–Capel model on Kagome lattice are derived and combined with rigorous correlation inequalities lead to upper bounds on the critical temperature. From the spin correlation identities the mean field approximation and the effective field approximation results for the magnetization, the critical frontiers and the tricritical points are obtained. The rigorous upper bounds on the critical temperature improve over those effective-type theories results. •Correlation identities for spin-1 Blume–Capel model on a Kagome lattice are obtained.•Mean-field theory, effective-field theory and rigorous upper bounds are applied.•The effective-field theory is extended to locate first-order transitions.•Multicritical points are obtained according to this procedures.•The results using rigorous upper bounds improve over effective-field type results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2014.11.063