Surface critical behavior of random systems at the ordinary transition

Details Surface critical behavior of random systems at the ordinary transition Surface critical behavior of random systems at the ordinary transition

2000-11-07

arxiv.org/abs/cond-mat/0011114v2

Phys.Rev.E 63 (2001) 056102

Physics

Condensed Matter

Statistical Mechanics

11 pages, 11 figures

Scientific paper

10.1103/PhysRevE.63.056102

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 $d=4-\epsilon$ dimensions. At $d=4-\epsilon$ we extend, up to the next-to-leading order, the previous first-order results of the $\sqrt{\epsilon}$ 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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