Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-05
Phys.Rev.B61:15130-15135,2000
Physics
Condensed Matter
Statistical Mechanics
11 pages, LaTeX, no figures, published version
Scientific paper
10.1103/PhysRevB.61.15130
The renormalization-group (RG) functions for the three-dimensional n-vector cubic model are calculated in the five-loop approximation. High-precision numerical estimates for the asymptotic critical exponents of the three-dimensional impure Ising systems are extracted from the five-loop RG series by means of the Pade-Borel-Leroy resummation under n = 0. These exponents are found to be: \gamma = 1.325 +/- 0.003, \eta = 0.025 +/- 0.01, \nu = 0.671 +/- 0.005, \alpha = - 0.0125 +/- 0.008, \beta = 0.344 +/- 0.006. For the correction-to-scaling exponent, the less accurate estimate \omega = 0.32 +/- 0.06 is obtained.
Pakhnin D. V.
Sokolov Aleksandr I.
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