Skip to main content
SpringerLink
Log in

About the possibility of increasing the superconducting transition temperature by the phonon mechanism

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

Abstract

The equations for the energy gap and for the critical temperatureT c are investigated in the case of superconductors with strong coupling, with regard for the dependence of the interaction constant on the phonon frequency. The effective interaction constant λ, which determinesT c in the Einstein model and delta-function phonon peak model, is calculated, and its dependence on the ordinary interaction constant, phonon frequency and momentum, Fermi momentum, and other parameters is determined. It is shown that the maximum possible value of λ is unity. A solution is found for the critical temperature equation in the case of a delta-function peak and the Einstein model. It is demonstrated that in the latter caseT c has a sharp maximum as a function of the electron density.

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. T. Geilikman,J. Low Temp. Phys. 4, 189 (1971) (the following paper in this issue).

    Google Scholar 

  2. G. M. Éliashberg,Zh. Eksperim. i. Teor. Fiz. 38, 966 (1960).

    Google Scholar 

  3. A. B. Migdal,Theory of Finite Fermi Systems and the Properties of Atomic Nuclei [in Russian] (Nauka, 1965).

  4. A. B. Migdal,Zh. Eksperim. i Teor. Fiz. 34, 1438 (1958).

    Google Scholar 

  5. Yu. M. Kagan and E. G. Brovman,Zh. Eksperim. i Teor. Fiz. 52, 557 (1967).

    Google Scholar 

  6. H. A. Bethe and A. Sommerfeld,Electron Theory of Metals [Russian translation] (ONTI, 1937).

  7. W. L. McMillan,Phys. Rev. 167, 331 (1968).

    Google Scholar 

  8. P. W. Anderson and E. Blount,Phys. Rev. Letters 14, 217 (1965).

    Google Scholar 

  9. D. Pines,Phys. Rev. 109, 280 (1958).

    Google Scholar 

  10. B. T. Geilikman and V. Z. Kresin,The Many-Body Problem and Plasma Physics, Proceedings of an International Symposium, 1965 [in Russian] (Nauka, 1967);Fiz. Tverd. Tela 7, 3294 (1965);Zh. Eksperim. i Teorl Fiz. Pis. Red. 5, 271 (1967);Fiz. Tverd. Tela 9, 3111 (1967).

  11. T. H. Geballe,Proceedings of the Tenth International Conference on Low-Temperature Physics [in Russian] (VINITI, Moscow, 1967), p. 124.

    Google Scholar 

  12. P. Morell and P. W. Anderson,Phys. Rev. 125, 1263 (1962).

    Google Scholar 

  13. R. Courant and D. Hilbert,Methods of Mathematical Physics (Wiley, New York, 1953).

    Google Scholar 

  14. B. T. Geilikman and N. F. Masharov,Phys. Status Solidi 41, K31 (1970).

    Google Scholar 

  15. B. T. Geilikman,Usp. Fiz. Nauk 88, 327 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I. V. Kurchatov Institute of Atomic Energy, D-182, Moscow, USSR

    B. T. Geilikman

Authors
  1. B. T. Geilikman
    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

Geilikman, B.T. About the possibility of increasing the superconducting transition temperature by the phonon mechanism. J Low Temp Phys 4, 181–188 (1971). https://doi.org/10.1007/BF00628390

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00628390

Keywords

Search

Navigation