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

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.

3 pages, Latex,(fleqn.sty, espcrc2.sty) no figures, contribution to Lattice'97 to appear in Nucl. Phys. Proc. Suppl

References in corpus (1)

• Perturbative renormalization group, exact results and high temperature series to order 21 for the N-vector spin models on the square lattice

Cited by in corpus (4)

• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
• Extension to order ${\beta }^{23}$ of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices
• A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices
• Thermodynamic characteristics of the classical n-vector magnetic model in three dimensions