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Surface critical behavior of random systems: Ordinary transition

Z. E. Usatenko1,2,*, M. A. Shpot1,3,†, and Chin-Kun Hu2,4

  • 1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv, 79011, Ukraine
  • 2Institute of Physics Academia Sinica, Taipei, 11529, Taiwan
  • 3University of Essen, Essen, D-45117, Germany
  • 4Department of Physics, National Dong Hwa University, Hualien 97401, Taiwan

  • *Email address: pylyp@icmp.lviv.ua
  • †Email address: shpot@icmp.lviv.ua
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Phys. Rev. E 63, 056102 – Published 11 April, 2001

DOI: https://doi.org/10.1103/PhysRevE.63.056102

Abstract

We calculate the surface critical exponents of the ordinary transition occurring 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 4−ɛ dimensions. At d=4−ɛ we extend, up to the next-to-leading order, the previous first-order results of the ɛ expansion by Ohno and Okabe [Phys. Rev. B 46, 5917 (1992)]. In both cases numerical estimates for surface exponents are computed using Padé 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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Phys. Rev. E 63, 056102– Published 11 April, 2001
  • Received 7 November 2000

© 2001 American Physical Society

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