Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model

Details Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model

2000-03-13

arxiv.org/abs/cond-mat/0003216v2

Phys. Rev. B, v. 62, 12195 (2000)

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1103/PhysRevB.62.12195

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.

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