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

Miroslav Kolesik, Masuo Suzuki

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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).

Original languageEnglish (US)
Pages (from-to)138-151
Number of pages14
JournalPhysica A: Statistical Mechanics and its Applications
Volume215
Issue number1-2
DOIs
StatePublished - Apr 15 1995

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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