Skip to main content
SpringerLink
Log in

Response of a superconductor to a static, spatially dependent perturbation of the interaction constant

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

Abstract

The proximity effect between two materials with slightly different interaction constants is considered. A perturbation expansion of the Gor'kov equations and the self-consistency equation is employed to derive self-consistent results for the Green functions and the order parameter, the expansion parameter being the difference of the interaction constants. A similar expansion of Eilenberger's equations is used to generalize these results to the impure case. The first-order perturbation to the order parameter is analyzed, and its asymptotic behavior is obtained.

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. G. Eilenberger,Z. Physik 214, 195 (1968).

    Google Scholar 

  2. W. L. McMillan and P. W. Anderson,Phys. Rev. Letters 16, 85 (1966).

    Google Scholar 

  3. J. M. Rowell and W. L. McMillan,Phys. Rev. Letters 16, 453 (1966).

    Google Scholar 

  4. T. Wolfram,Phys. Rev. 170, 481 (1968).

    Google Scholar 

  5. W. L. McMillan,Phys. Rev. 175, 559 (1968).

    Google Scholar 

  6. J. Demers and A. Griffin,Can. J. Phys. 49, 285 (1971), and references contained therein.

    Google Scholar 

  7. R. M. Cleary,Phys. Rev. B5, 67 (1972).

    Google Scholar 

  8. J. Clarke, S. M. Freake, M. L. Rappaport, and T. L. Thorp,Solid State Commun. 11, 689 (1972).

    Google Scholar 

  9. A. A. Abrikosov, L. P. Gor'kov, and I. Y. Dzyaloshinskii,Quantum Field Theoretical Methods in Statistical Physics (Pergamon Press, London, 1965), Section 37.1.

    Google Scholar 

  10. A. E. Jacobs,Phys. Letters 38A, 153 (1972).

    Google Scholar 

  11. M. C. Leung and A. E. Jacobs,J. Low Temp. Phys. 11, 395 (1973).

    Google Scholar 

  12. See, for example, A. L. Fetter and J. D. Walecka,Quantum Theory of Many-Particle System (McGraw-Hill, New York, 1971), Section 51.

    Google Scholar 

  13. A. E. Jacobs, unpublished work.

  14. G. Eilenberger and H. Büttner,Z. Physik 224, 335 (1969).

    Google Scholar 

  15. W. Silvert and L. N. Cooper,Phys. Rev. 141, 336 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Toronto, Toronto, Ontario, Canada

    A. E. Jacobs

Authors
  1. A. E. Jacobs
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the National Research Council of Canada and in part by Scarborough College, University of Toronto.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jacobs, A.E. Response of a superconductor to a static, spatially dependent perturbation of the interaction constant. J Low Temp Phys 11, 623–638 (1973). https://doi.org/10.1007/BF00654450

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00654450

Keywords

Search

Navigation