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Surface critical behavior of random systems at the ordinary transition

M. Shpot·Z. Usatenko·Chin-Kun Hu
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Abstract

We calculate the surface critical exponents of the ordinary transition occuring in semi-infinite, quenched dilute Ising-like systems. This is done by applying the field theoretic approach directly in d=3 dimensions up to the two-loop approximation, as well as in $d=4-ε$ dimensions. At $d=4-ε$ we extend, up to the next-to-leading order, the previous first-order results of the $\sqrtε$ expansion by Ohno and Okabe [Phys.Rev.B 46, 5917 (1992)]. In both cases the numerical estimates for surface exponents are computed using Pade approximants extrapolating the perturbation theory expansions. The obtained results indicate that the critical behavior of semi-infinite systems with quenched bulk disorder is characterized by the new set of surface critical exponents.

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M. Shpot, Z. Usatenko, Chin-Kun Hu. 2000-11-09. Surface critical behavior of random systems at the ordinary transition. https://doi.org/10.1103/physreve.63.056102

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