Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0102368,
title = {Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality},
author = {D. V. Pakhnin and A. I. Sokolov},
journal= {arXiv preprint arXiv:cond-mat/0102368},
year = {2009}
}
Comments
10 pages, LaTeX, no figures, published version