Accurate estimates of 3D Ising critical exponents using the coherent-anomaly method

Miroslav Kolesik and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1995, vol. 215, issue 1, 138-151

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 = 0.108(5), β = 0.327(4), γ = 1.237(4) and δ = 4.77(5).

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:215:y:1995:i:1:p:138-151

DOI: 10.1016/0378-4371(94)00302-A

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