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

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

1994-11-26

arxiv.org/abs/cond-mat/9411109v1

Physics

Condensed Matter

16 pages, latex, 1 postscript figure

Scientific paper

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 $\alpha=\afin$, $\beta=\bfin$, $\gamma=\gfin$ and $\delta=\dfin$.

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