Correlations equalities and some upper bounds for the critical temperature for spin one 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.

13 pages

References in corpus (4)

• The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions
• Multicritical Points and Crossover Mediating the Strong Violation of Universality: Wang-Landau Determinations in the Random-Bond $d=2$ Blume-Capel model
• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
• THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM

Cited by in corpus (1)

• Phase Diagram of the $J_1$ - $J_2$ Frustrated Anisotropic Antiferromagnet with Spin $S=1$ on the Quadratic Lattice