Cluster variation - Pade` approximants method for the simple cubic Ising model

TL;DR

This paper applies the cluster variation - Pade` approximant method to the 3D simple cubic Ising model, providing new critical parameter estimates and comparing them with other techniques for critical exponent extraction.

Contribution

It introduces the application of the cluster variation - Pade` approximant method to a 3D Ising model with an 18-site cluster, advancing the estimation of critical parameters.

Findings

New critical parameters for the 3D Ising model are obtained.

Comparison shows the method's effectiveness relative to other techniques.

Results contribute to understanding non-classical critical exponents.

Abstract

The cluster variation - Pade` approximant method is a recently proposed tool, based on the extrapolation of low/high temperature results obtained with the cluster variation method, for the determination of critical parameters in Ising-like models. Here the method is applied to the three-dimensional simple cubic Ising model, and new results, obtained with an 18-site basic cluster, are reported. Other techniques for extracting non-classical critical exponents are also applied and their results compared with those by the cluster variation - Pade` approximant method.