Critical exponents for three- dimensional impure Ising model in the five- loop approximation
Pakhnin D.V., Sokolov A.I.
PACS: 05.50.+q, 05.70.Jk, 75.10.Hk, 75.40.Cx
The renormalizationgroup functions governing the critical behavior of the three-dimensional weakly-disordered Ising model are calculated in the five-loop approximation. The random fixed point location and critical exponents for impure Ising systems are estimated by means of the Pad6-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be: 7 = 1.325 ±0.003, η = 0.025 ± 0.01, ν 0.671 ± 0.005, a = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent less accurate estimate ω = 0.32 ± 0.06 is obtained.