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Critical exponents for a three-dimensional impure Ising model in the five-loop approximation (2000)

Pakhnin, D. V. ; Sokolov, A. I.

Springer

JETP letters 71 (2000), S. 412-416

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ISSN: 1090-6487

Keywords: 75.10.Hk ; 75.40.Cx ; 05.50.+q ; 05.70.Jk

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1134/1.568366

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