High-Temperature Expansions for the Spin-½ Heisenberg Model

作者: George A. Baker , H. E. Gilbert , J. Eve , G. S. Rushbrooke

DOI: 10.1103/PHYSREV.164.800

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摘要: We obtain high-temperature power-series-expansion coefficients for the spin-\textonehalf{} Heisenberg model simple cubic, body-centered and face-centered cubic lattices. The specific heat is carried to 10 terms; susceptibility series, terms loose-packed lattices 9 close-packed one. of 4th, 6th, 8th powers magnetic field are 8 terms. analyze these series conclude that critical points 0.5972, 0.3963, 0.2492, respectively, with an error perhaps ${10}^{\ensuremath{-}3}$. index $\ensuremath{\gamma}=1.43\ifmmode\pm\else\textpm\fi{}0.01$ gap parameter $2\ensuremath{\Delta}=3.63\ifmmode\pm\else\textpm\fi{}0.03$ all three

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