Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality

Details Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality

2001-02-21

arxiv.org/abs/cond-mat/0102368v3

Phys.Rev. B64 (2001) 094407

Physics

Condensed Matter

Statistical Mechanics

10 pages, LaTeX, no figures, published version

Scientific paper

10.1103/PhysRevB.64.094407

For the three-dimensional cubic model, the nonlinear susceptibilities of the fourth, sixth, and eighth orders are analyzed and the parameters \delta^(i) characterizing their reduced anisotropy are evaluated at the cubic fixed point. In the course of this study, the renormalized sextic coupling constants entering the small-field equation of state are calculated in the four-loop approximation and the universal values of these couplings are estimated by means of the Pade-Borel-Leroy resummation of the series obtained. The anisotropy parameters are found to be: \delta^(4) = 0.054 +/- 0.012, \delta^(6) = 0.102 +/- 0.02, and \delta^(8) = 0.144 +/- 0.04, indicating that the anisotropic (cubic) critical behavior predicted by the advanced higher-order renormalization-group analysis should be, in principle, visible in physical and computer experiments.

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