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Critical parameters of N-vector spin models on 3d lattices from high temperature series extended to order beta^{21}

P. Butera·M. Comi
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Abstract

High temperature expansions for the free energy, the susceptibility and the second correlation moment of the classical N-vector model [also denoted as the O(N) symmetric classical spin Heisenberg model or as the lattice O(N) nonlinear sigma model] have been extended to order beta^{21} on the simple cubic and the body centered cubic lattices, for arbitrary N. The series for the second field derivative of the susceptibility has been extended to order beta^{17}. An analysis of the newly computed series yields updated estimates of the model's critical parameters in good agreement with present renormalization group estimates.

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P. Butera, M. Comi. 1997-10-08. Critical parameters of N-vector spin models on 3d lattices from high temperature series extended to order beta^{21}. https://doi.org/10.1016/s0920-5632(97)00858-x

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