Surface critical behavior of random systems at the special transition

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

2001-05-09

arxiv.org/abs/cond-mat/0105184v1

Phys.Rev.E 65,066103 (2002)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 10 figures

Scientific paper

10.1103/PhysRevE.65.066103

We study the surface critical behavior of semi-infinite quenched random Ising-like systems at the special transition using three dimensional massive field theory up to the two-loop approximation. Besides, we extend up to the next-to leading order, the previous first-order results of the $\sqrt{\epsilon}$ expansion obtained by Ohno and Okabe [Phys. Rev. B 46, 5917 (1992)]. The numerical estimates for surface critical exponents in both cases are computed by means of the Pade analysis. Moreover, in the case of the massive field theory we perform Pade-Borel resummation of the resulting two-loop series expansions for surface critical exponents. The obtained results confirm that in a system with quenched bulk randomness the plane boundary is characterized by a new set of surface critical exponents.

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