Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model
Statistical Mechanics
2016-08-31 v2
Abstract
Six-loop massive scheme renormalization group functions of a d=3-dimensional cubic model (J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B vol. 61, 15136 (2000)) are reconsidered by means of the pseudo-epsilon expansion. The marginal order parameter components number N_c=2.862(5) as well as critical exponents of the cubic model are obtained. Our estimate N_c<3 leads in particular to the conclusion that all ferromagnetic cubic crystals with three easy axis should undergo a first order phase transition.
Keywords
Cite
@article{arxiv.cond-mat/0003216,
title = {Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model},
author = {R. Folk and Yu. Holovatch and T. Yavors'kii},
journal= {arXiv preprint arXiv:cond-mat/0003216},
year = {2016}
}
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8 pages