Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9411109 · Physica A Statistical Mechanics and its Applications

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

Miroslav Kolesik, Masuo Suzuki

Published Apr 1, 1995• 23 citations
arXivHTMLPDF
DOI
10.1016/0378-4371(94)00302-a

Related papers

Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Miroslav Kolesik, Masuo Suzuki

arXiv:cond-mat/9502092•Physica A Statistical Mechanics and its Applications•Jul 1, 1995•13 citations

28a-PS-6 Accurate estimates of 3D Ising critical exponents using the CAM

Miroslav Kolesik, Masuo Suzuki

日本物理学会講演概要集. 年会•Mar 16, 1995•0 citations

The coherent anomaly method applied to a variety of Ising models

James L. Monroe

Physics Letters A•Sep 1, 1988•15 citations

Accurate estimates of 3D Ising critical exponents using the Coherent-Anomaly Method

Miroslav Kolesik, Masuo Suzuki

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).

•Jan 1, 2008•12 citations

Accurate Monte Carlo critical exponents for Ising lattices

Jorge Garcı́a, Julio A. Gonzalo

arXiv:cond-mat/0304056•Physica A Statistical Mechanics and its Applications•Jun 3, 2003•17 citations

Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Miroslav Kolesik, Masuo Suzuki

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = −0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

•Jan 1, 1995•6 citations
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).