An improved effective field theory formulation of spin-1/2 Ising systems with arbitrary coordination number z

TL;DR

This paper introduces an improved effective field theory for spin-1/2 Ising systems with any coordination number, providing more accurate critical temperature calculations and systematic multi-spin correlation analysis.

Contribution

It presents a unified formulation capable of calculating multi-spin correlations and critical temperatures more accurately than previous methods.

Findings

More accurate critical temperature predictions

Systematic calculation of multi-spin correlations

Applicable to various extensions of Ising models

Abstract

An improved unified formulation based on the effective field theory is introduced for a spin-1/2 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 results for the critical temperature of the system much better than those of the other works in the literature. The formulation can be easily applied to various extensions of s-1/2 Ising models, as long as the system contains only the nearest neighbor interactions as spin-spin interactions.