Skip to main content
SpringerLink
Log in

Stability of the critical behavior of weakly disordered systems with respect to the introduction of an interaction potential breaking replica symmetry

  • Lattice Dynamics and Phase Transitions
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The critical behavior of weakly disordered systems with a p-component order parameter is described using field-theoretic methods. A renormalization-group analysis of the effective model replica Hamiltonian with an interaction potential breaking replica symmetry is performed directly for three-dimensional systems in the two-loop approximation. For the case of a one-step replica symmetry breaking, fixed points of renormalization group equations are found using the Padé-Borel summation technique. It is established that the critical behavior of weakly disordered systems is stable with respect to replica symmetry breaking and that the former scenario of the influence of structural defects on the critical behavior of these systems is realized.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. F. Edwards and P. W. Anderson, J. Phys. F 5(5), 965 (1975).

    Article  ADS  Google Scholar 

  2. J. Emery, Phys. Rev. B 11(1), 239 (1975).

    Article  ADS  Google Scholar 

  3. G. Grinstein and A. Luther, Phys. Rev. B 13(3), 1329 (1976).

    Article  ADS  Google Scholar 

  4. Vik. S. Dotsenko, A. B. Harris, D. Sherrington, and R. B. Stinchcombe, J. Phys. A 28(11), 3093 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  5. Vik. S. Dotsenko and D. E. Feldman, J. Phys. A 28(18), 5183 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  6. Vik. S. Dotsenko, Usp. Fiz. Nauk 165(5), 481 (1995) [Phys. Usp. 38, 457 (1995)].

    Google Scholar 

  7. V. V. Prudnikov, A. V. Ivanov, and A. A. Fedorenko, Pis’ma Zh. Éksp. Teor. Fiz. 66(12), 793 (1997) [JETP Lett. 66, 835 (1997)]; V. V. Prudnikov, S. V. Belim, A. V. Ivanov, et al., Zh. Éksp. Teor. Fiz. 114 (3), 972 (1998) [JETP 87, 527 (1998)]; V. V. Prudnikov, P. V. Prudnikov, and A. A. Fedorenko, Zh. Éksp. Teor. Fiz. 116 (2), 611 (1999) [JETP 89, 325 (1999)]; V. V. Prudnikov, P. V. Prudnikov, and A. A. Fedorenko, Phys. Rev. B 62 (13), 8777 (2000).

    Google Scholar 

  8. S. A. Antonenko and A. I. Sokolov, Phys. Rev. B 49, 15901 (1994); K. B. Varnashev and A. I. Sokolov, Fiz. Tverd. Tela (St. Petersburg) 38 (12), 3665 (1996) [Phys. Solid State 38, 1996 (1996)]; A. I. Sokolov, K. B. Varnashev, and A. I. Mudrov, Int. J. Mod. Phys. B 12 (12/13), 1365 (1998); A. I. Sokolov and K. B. Varnashev, Phys. Rev. B 59 (13), 8363 (1999).

  9. B. N. Shalaev, S. A. Antonenko, and A. I. Sokolov, Phys. Lett. A 230(1–2), 105 (1997).

    ADS  Google Scholar 

  10. D. E. Feldman, A. V. Izyumov, and Vik. Dotsenko, condmat/9512158 (1995).

  11. C. Chatelain and B. Berche, Nucl. Phys. B 572(3), 626 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  12. G. Parisi, J. Phys. A 13(3), 1101 (1980); G. Parisi, J. Phys. A 13 (4), L115 (1980); G. Parisi, J. Phys. A 13 (5), 1887 (1980); M. Mezard, G. Parisi, and M. Virasoro, Spin-Glass Theory and Beyond (World Scienti?c, Singapore, 1987); Vik. Dotsenko, Usp. Fiz. Nauk 163 (6), 1 (1993) [Phys. Usp. 36, 455 (1993)].

    Article  ADS  Google Scholar 

  13. G. Jug, Phys. Rev. B 27(1), 609 (1983).

    Article  ADS  Google Scholar 

  14. I. O. Mayer, A. I. Sokolov, and B. N. Shalaev, Ferroelectrics 95(1), 93 (1989); R. Folk, Yu. Holovatch, and T. Yavorskii, Phys. Rev. B 61 (22), 15114 (2000); D. V. Pakhnin and A. I. Sokolov, Phys. Rev. B 61 (22), 15130 (2000); A. Pelissetto and E. Vicari, Phys. Rev. B 62, 6393 (2000).

    Google Scholar 

  15. M. M. Tsypin, Phys. Rev. B 55(14), 8911 (1997).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Omsk State University, Omsk, 644077, Russia

    V. V. Prudnikov, P. V. Prudnikov & A. A. Fedorenko

Authors
  1. V. V. Prudnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. V. Prudnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Fedorenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Fizika Tverdogo Tela, Vol. 43, No. 9, 2001, pp. 1688–1692.

Original Russian Text Copyright © 2001 by V. Prudnikov, P. Prudnikov, Fedorenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prudnikov, V.V., Prudnikov, P.V. & Fedorenko, A.A. Stability of the critical behavior of weakly disordered systems with respect to the introduction of an interaction potential breaking replica symmetry. Phys. Solid State 43, 1759–1764 (2001). https://doi.org/10.1134/1.1402236

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1402236

Keywords

Search

Navigation