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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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.
Eilenberger, G.: Z. Physik214, 195 (1968).
Kramer, L.: Phys. Lett.23, 619 (1966); -Phys. Rev. B3, 3821 (1971).
Jacobs, A. E.: Phys. Rev. B4, 3029 (1971).
Eilenberger, G., Büttner, H.: Z. Physik224, 335 (1969).
Leung, M. C., Jacobs, A. E.: Z. Physik253, 89 (1972); to be published in J. Low Temp. Phys.
Leung, M. C., Jacobs, A. E.: to appear in the Proceedings of the Thirteenth International Conference on Low Temperature Physics, Boulder Colorado (1972).
Dichtel, K.: Phys. Lett.35A, 285 (1971).
Brandt, E. H.: Phys. Lett.39A, 193 (1972).
Cleary, R. M.: Phys. Rev. Letters24, 940 (1970).
Jacobs, A. E.: To be published.
Müller-Hartmann, E.: Phys. Lett.23, 521 (1966).
Halbritter, J.: Z. Physik243, 201 (1971).
Auer, J., Ullmaier, H.: To be published in Phys. Rev. B (Dec. 15, 1972).
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