Abstract
A new method for calculating critical parameters from power series expansions, recently developed by the authors, is modified to take into account confluent singularities. The new procedure allows one to obtain wholly unbiased approaches to all physically meaningful critical parameters. The high- temperature, zero-field magnetic susceptibility series for the spin-1/2 Ising model for the face-centered cubic lattice is discussed as an illustrative example. Present results compare favorably with previously reported ones and agree closely with bow from renormalkation group theory.
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Arteca, G.A., Fernández, F.M. & Castro, E.A. New method for confluent singularity analysis of power series. J Math Chem 2, 227–239 (1988). https://doi.org/10.1007/BF01167203
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DOI: https://doi.org/10.1007/BF01167203