Critical exponents for a three-dimensional impure Ising model in the five-loop approximation |
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Authors: | D. V. Pakhnin A. I. Sokolov |
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Affiliation: | (1) St. Petersburg Electrotechnical University, St. Petersburg, 197376, Russia |
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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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