Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems

被引:56
作者
Pakhnin, DV
Sokolov, AI
机构
[1] St Petersburg Electrotech Univ, Dept Phys Elect, St Petersburg 197376, Russia
[2] St Petersburg Electrotech Univ, Dept Phys, St Petersburg 197376, Russia
关键词
D O I
10.1103/PhysRevB.61.15130
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 Eve-loop RG series by means of the Pade-Borel-Leroy resummation under n=0. These exponents are found to he gamma=1.325+/-0.003, eta=0.025+/-0.01, nu=0.67+/-0.005, alpha=-0.0125+/-0.008, and beta=0.344+/-0.006. For the correction-to-scaling exponent, the less accurate estimate omega=0.32+/-0.06 is obtained.
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收藏
页码:15130 / 15135
页数:6
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