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

Jander P. Santos and F.C. Sá Barreto

Physica A: Statistical Mechanics and its Applications, 2015, vol. 421, issue C, 548-561

Abstract: 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.

Keywords: Blume–Capel model; Kagome lattice; Critical temperature (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:421:y:2015:i:c:p:548-561

DOI: 10.1016/j.physa.2014.11.063

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