Accurate Estimates of 3D Ising Critical Exponents Using the Coherent-Anomaly Method

Abstract

An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by $α=\afin$, $β=\bfin$, $γ=\gfin$ and $δ=\dfin$.