Skip to main content
SpringerLink
Log in

Nonlinear resonant interaction between acoustic impulse and electrons in superconductors

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The problem of inelastic electron interaction in a perfectly pure superconductor with a longitudinal sound impulse is considered. It is shown that the problem reduces to the equivalent one of elastic scattering by the static potential, and the sound absorption is expressed in terms of the reflection coefficient of this scattering. The classical and quantum properties of the scattering are studied and the phase region in which new excitations are created is indicated. A formula is derived that expresses the density matrix of the excitations created in terms of the exact scattering matrix of an impulse. The quasiclassical creation of excitations by a smooth-shaped impulse is investigated with regard to both overbarrier and underbarrier processes.

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. B. B. Kadomtsev,Collective Phenomena in Plasmas (in Russian) (Nauka, Moscow, 1976). Chapter 4.

    Google Scholar 

  2. Yu. M. Galperin, V. L. Gurevich, and V. I. Kozub,Zh. Eksp. Teor. Fiz. 65, 1045 (1973).

    Google Scholar 

  3. V. P. Galaiko, V. S. Shumeiko, and T. Kshishton',Zh. Eksp. Teor. Fiz. 80, 2078 (1980).

    ADS  Google Scholar 

  4. N. I. Glushschuk and V. S. Shumeiko,Fiz. Nizk. Temp. 10, 49 (1984).

    Google Scholar 

  5. A. I. Larkin and Yu. N. Ovchinnikov,Zh. Eksp. Teor. Fiz. 55, 2262.

  6. A. V. Svidzinsky,Spatially-Nonuniform Problems of the Theory of Superconductivity (in Russian) (Nauka, Moscow, 1982), p. 310.

    Google Scholar 

  7. V. L. Pokrovsky,Zh. Eksp. Teor. Fiz. 40, 143 (1961).

    Google Scholar 

  8. V. S. Shumeiko,Fiz. Nizk. Temp. 9, 1282 (1983).

    Google Scholar 

  9. V. P. Galaiko,Zh. Eksp. Teor. Fiz. 61, 382 (1971).

    Google Scholar 

  10. P. G. de Gennes,Superconductivity of Metals and Alloys (New York, 1966), Chapter 4.

  11. J. D. Cole,Perturbation Methods in Applied Mathematics (London, 1968), Chapter 35.

  12. V. L. Pokrovsky and I. M. Khalatnikov,Zh. Eksp. Teor. Fiz. 40, 1713 (1961).

    Google Scholar 

  13. N. Fröman and P. O. Fröman,JWKB Approximation (Amsterdam, 1965), Chapter 6.

Download references

Author information

Authors and Affiliations

  1. Institute for Low Temperature Physics and Engineering, UkrSSR Academy of Sciences, Kharkov, USSR

    E. N. Bratus' & V. S. Shumeiko

Authors
  1. E. N. Bratus'
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. S. Shumeiko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bratus', E.N., Shumeiko, V.S. Nonlinear resonant interaction between acoustic impulse and electrons in superconductors. J Low Temp Phys 60, 109–131 (1985). https://doi.org/10.1007/BF00681656

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00681656

Keywords

Search

Navigation