Skip to main content
SpringerLink
Log in

Attractive interaction between vortices in type-II superconductors at arbitrary temperatures

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

Abstract

We show that attractive interaction between vortices occurs when Re(Λ−1)>ξ −10 for type-II superconductors with local or nonlocal magnetic effects, where [Re(1/Λ)]−1 and ξ0 are, respectively, the decay length of the magnetic field and the order parameter at arbitrary temperatures. The interaction between vortices is attractive for all those type-II superconductors in which field reversal occurs, but field reversal is not a cause of attractive interaction. On the other hand, oscillatory behavior of magnetic fields contributes to attractive interaction. The critical values of the Ginzburg-Landau parameter, below which attractive interaction occurs, satisfy essentially the equation Re (Λ−1)=ξ −10 .

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. U. Krägeloh, U. Kumpf, and A. Seeger,Proceedings of the 12th International Conference on Low Temperature Physics, Kyoto, 1970, E. Kanda, ed. (Academic Press of Japan, Tokyo, 1971), p. 473.

  2. U. Krägeloh,Phys. Stat. Solidi 42, 559 (1970).

    Google Scholar 

  3. A. Seeger,Comments Solid State Phys. 3, 97 (1967).

    Google Scholar 

  4. H. Träuble and U. Essmann,Phys. Stat. Solidi 20, 95 (1967).

    Google Scholar 

  5. J. Auer and H. Allmaier, to be published inPhys. Rev.

  6. A. E. Jacobs,Phys. Rev. Letters 26, 629 (1971).

    Google Scholar 

  7. E. Müller-Hartmann,Phys. Letters 23, 521 (1966).

    Google Scholar 

  8. L. Kramer,Phys. Letters 23, 619 (1966);Phys. Rev. B3, 3821 (1971).

    Google Scholar 

  9. L. Neumann and L. Tewordt,Z. Physik 189, 55 (1966).

    Google Scholar 

  10. A. E. Jacobs,Phys. Rev. B4, 3029 (1971).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  13. A. E. Jacobs, to be published.

  14. K. Dichtel,Phys. Letters 35A, 285 (1971); J. Halbritter,Z. Physik 243, 201 (1971).

    Google Scholar 

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

    Google Scholar 

  16. M. C. Leung and A. E. Jacobs, Congress of Canadian Association of Physicists, Edmonton, June, 1972, unpublished.

  17. M. C. Leung and A. E. Jacobs, Proc. 13th International Conf, on Low. Temp. Phys., Boulder, 1972.

  18. L. Kramer, to be published inZ. Physik.

  19. M. C. Leung and A. E. Jacobs,Z. Physik 253, 89 (1972).

    Google Scholar 

  20. A. E. Jacobs, private communication.

Download references

Author information

Author notes

  1. M. C. Leung

    Present address: Institut Max von Laue-Paul Langevin, 8046, Garching, Germany

Authors and Affiliations

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

    M. C. Leung

Authors
  1. M. C. Leung
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by the National Research Council of Canada and Alexander von Humboldt Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leung, M.C. Attractive interaction between vortices in type-II superconductors at arbitrary temperatures. J Low Temp Phys 12, 215–235 (1973). https://doi.org/10.1007/BF00654737

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00654737

Keywords

Search

Navigation