Effective field theory in larger clusters - Ising Model

TL;DR

This paper develops an extended effective field theory for Ising models using larger finite clusters, improving predictions of critical temperatures and thermodynamic properties, especially relevant for nano materials.

Contribution

It introduces a new EFT-$N$ formulation with larger clusters, enhancing accuracy in critical temperature calculations and thermodynamic analysis.

Findings

Improved critical temperature estimates with larger clusters.

Demonstrated relevance for nano material modeling.

Extended application to renormalization group techniques.

Abstract

General formulation for the effective field theory with differential operator technique and the decoupling approximation with larger finite clusters (namely EFT-$N$ formulation) has been derived, for S-1/2 bulk systems. The effect of the enlarging this finite cluster on the results in the critical temperatures and thermodynamic properties have been investigated in detail. Beside the improvement on the critical temperatures, the necessity of using larger clusters, especially in nano materials have been discussed. With the derived formulation, application on the effective field and mean field renormalization group techniques also have been performed.