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Interaction of vortices in type II superconductors and the behavior nearH c1 at arbitrary temperature

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Zeitschrift für Physik A Hadrons and nuclei

Abstract

The interaction between well-separated Abrikosov vortices is calculated using Eilenberger's version of the Gorkov theory. Let λ and ξ be the decay lengths determining the asymptotic behavior of the magnetic field and the order parameter for an isolated vortex. Then the onset of attraction in the limit of large vortex separation is either given by λ=ξ or by λ becoming complex, whichever occurs first. It is shown that in general a first order transition atH c1 takes place already in the region of asymptotic repulsion because of the appearance of a minimum in the interaction energy at finite vortex separation.

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References

  1. Kramer, L., Pesch, W.: to appear in the Proceedings of the Thirteenth International Conference on Low Temperature Physics, Boulder, Colorade (1972); and to be published.

  2. Eilenberger, G.: Z. Physik214, 195 (1968).

    Article  ADS  Google Scholar 

  3. Kramer, L.: Phys. Lett.23, 619 (1966); -Phys. Rev. B3, 3821 (1971).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. Eilenberger, G., Büttner, H.: Z. Physik224, 335 (1969).

    Article  ADS  Google Scholar 

  6. Leung, M. C., Jacobs, A. E.: Z. Physik253, 89 (1972); to be published in J. Low Temp. Phys.

    Article  ADS  Google Scholar 

  7. Leung, M. C., Jacobs, A. E.: to appear in the Proceedings of the Thirteenth International Conference on Low Temperature Physics, Boulder Colorado (1972).

  8. Dichtel, K.: Phys. Lett.35A, 285 (1971).

    Article  ADS  Google Scholar 

  9. Brandt, E. H.: Phys. Lett.39A, 193 (1972).

    Article  ADS  Google Scholar 

  10. Cleary, R. M.: Phys. Rev. Letters24, 940 (1970).

    Article  ADS  Google Scholar 

  11. Jacobs, A. E.: To be published.

  12. Müller-Hartmann, E.: Phys. Lett.23, 521 (1966).

    Article  ADS  Google Scholar 

  13. Halbritter, J.: Z. Physik243, 201 (1971).

    Article  ADS  Google Scholar 

  14. Auer, J., Ullmaier, H.: To be published in Phys. Rev. B (Dec. 15, 1972).

  15. Auer, J.: Private communication.

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The author wishes to thank Professor G. Eilenberger, Professor A.E. Jacobs, and Dr. W. Pesch for discussion and participation in this work.

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Kramer, L. Interaction of vortices in type II superconductors and the behavior nearH c1 at arbitrary temperature. Z. Physik 258, 367–380 (1973). https://doi.org/10.1007/BF01391501

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  • DOI: https://doi.org/10.1007/BF01391501

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