Correlations equalities and some upper bounds for the critical temperature for spin one systems
F. C. S\'a Barreto, A. L. Mota
TL;DR
This paper derives rigorous upper bounds for the critical temperature of spin one systems using correlation identities and inequalities, improving upon previous effective field results.
Contribution
It introduces new upper bounds for the critical temperature of spin one systems based on correlation identities and inequalities, advancing prior effective field approaches.
Findings
Rigorous upper bounds for critical temperature derived
Improved over previous effective field results
Applicable to Blume-Capel spin 1 systems
Abstract
Starting from correlation identities for the Blume-Capel spin 1 systems and using correlation inequalities, we obtain rigorous upper bounds for the critical temperature.The obtained results improve over effective field type results.
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