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

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Abstract

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.

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Authors and Affiliations

  1. St. Petersburg Electrotechnical University, St. Petersburg, 197376, Russia

    D. V. Pakhnin & A. I. Sokolov

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  1. D. V. Pakhnin
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  2. A. I. Sokolov
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 71, No. 10, 2000, pp. 600–605.

Original English Text Copyright © 2000 by Pakhnin, Sokolov.

This article was submitted by the authors in English.

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Pakhnin, D.V., Sokolov, A.I. Critical exponents for a three-dimensional impure Ising model in the five-loop approximation. Jetp Lett. 71, 412–416 (2000). https://doi.org/10.1134/1.568366

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