An improved effective field theory formulation of spin-1 Ising systems with arbitrary coordination number z

TL;DR

This paper introduces an improved effective field theory approach for spin-1 Ising systems with arbitrary coordination number, enabling systematic calculation of multi-spin correlations and more accurate critical temperature predictions.

Contribution

It presents a unified formulation that systematically computes multi-spin correlations for spin-1 Ising models with arbitrary coordination number z, improving accuracy over previous methods.

Findings

More accurate critical temperature calculations

Systematic computation of multi-spin correlations

Applicable to various spin-1 Ising models with nearest neighbor interactions

Abstract

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the multi-spin correlations systematically in a representative manner, as well as its single site counterparts in the system and gives much better results for critical temperature, in comparison with the other works in the literature. The formulation can be easily used to various kinds of spin-1 Ising models, as long as the system contains only the nearest neighbor interactions as spin-spin interactions.