Skip to main content
Log in

Field-theoretic description of the multicritical behavior of systems with two order parameters

  • Condensed Matter
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

A field-theoretic description of phase transformations in complex systems with two interacting order parameters is given. For three-dimensional systems in the two-loop approximation a renormalization-group analysis of the scaling functions is carried out directly, and the fixed points corresponding to stability of the bicritical and tetracritical behavior are identified. The critical exponents at the multicritical points in the two-loop approximation are calculated with the use of the Padé-Borel summation technique.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. S. Aleksandrov, A. T. Anistratov, B. V. Beznosikov, and N. V. Fedoseeva, Phase Transitions in Crystals of Halide Compounds ABX 3 , Nauka, Novosibirsk, 1981.

    Google Scholar 

  2. Y. Shapira, in Multicritical Phenomena, Plenum Press, New York, 1984, p. 35.

    Google Scholar 

  3. I. F. Lyuksyutov, V. L. Pokrovskii, and D. E. Khmel'nitskii, Zh. Éksp. Teor. Fiz. 69, 1817 (1975) [Sov. Phys. JETP 42, 923 (1975)].

    Google Scholar 

  4. J. M. Kosterlitz, D. R. Nelson, and M. E. Fisher, Phys. Rev. B 13, 412 (1976).

    Article  ADS  Google Scholar 

  5. G. Parisi, J. Stat. Phys. 23, 49 (1980).

    Article  MathSciNet  Google Scholar 

  6. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green, Academic Press, New York, 1976, Vol. 6, p. 125.

    Google Scholar 

  7. D. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, McGraw-Hill, New York, 1978.

    Google Scholar 

  8. Yu. A. Izyumov and V. N. Syromyatnikov, Phase Transitions and the Symmetry of Crystals [in Russian], Nauka, Moscow, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Pis'ma Zh. Éksp. Teor. Fiz. 68, No. 12, 900–905 (25 December 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prudnikov, V.V., Prudnikov, P.V. & Fedorenko, A.A. Field-theoretic description of the multicritical behavior of systems with two order parameters. Jetp Lett. 68, 950–956 (1998). https://doi.org/10.1134/1.567959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.567959

PACS numbers

Navigation