TY - JOUR

T1 - Critical exponents for a three-dimensional impure ising model in the five-loop approximation

AU - Pakhnin, D. V.

AU - Sokolov, A. I.

N1 - Funding Information: This work was supported by the Ministry of Education of the Russian Federation, grant no. 97-14.2-16. One of the authors (A.I.S.) gratefully acknowledges the support of the International Science Foundation, grant no. p99-943.

PY - 2000/5/25

Y1 - 2000/5/25

N2 - The renormalization-group 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 Padé-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be γ = 1.325 ± 0.003, η = 0.025 ± 0.01, ν = 0.671 ± 0.005, α = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent, a less accurate estimate ω = 0.32 ± 0.06 is obtained.

AB - The renormalization-group 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 Padé-Borel-Leroy resummation of the renormalization-group expansions derived. The asymptotic critical exponents are found to be γ = 1.325 ± 0.003, η = 0.025 ± 0.01, ν = 0.671 ± 0.005, α = -0.0125 ± 0.008, β = 0.344 ± 0.006, while for the correction-to-scaling exponent, a less accurate estimate ω = 0.32 ± 0.06 is obtained.

UR - http://www.scopus.com/inward/record.url?scp=0039973948&partnerID=8YFLogxK

U2 - 10.1134/1.568366

DO - 10.1134/1.568366

M3 - Article

AN - SCOPUS:0039973948

VL - 71

SP - 412

EP - 416

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 10

ER -