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arXiv:hep-lat/9312048 · Physical review. B, Condensed matter

Specific-heat exponent for the three-dimensional Ising model from a 24th-order high-temperature series

Gyan V Bhanot, Michael J. Creutz, Uwe Glässner, Klaus Schilling

Published May 1, 1994• 25 citations
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Abstract

We compute high-temperature expansions of the three-dimensional Ising model using a recursive transfer-matrix algorithm and extend the expansion of the free energy to 24th order. Using inhomogeneous-differential Pad'e and ratio methods, we extract the critical exponent of the specific heat to be \ensuremath{\alpha}=0.104(4).
DOI
10.1103/physrevb.49.12909

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Pad\'e-approximant techniques are applied to the high-temperature series for the temperature derivative of the specific heat of the Ising model. This method indicates a critical exponent $\ensuremath{\alpha}$ in the neighborhood of 18\frac{1}{8}81​ for those Pad\'e approximants which yield an estimate of the critical temperature in substantial agreement with that determined from the susceptibility series.