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Elastic energy of the vortex state in type II superconductors. I. High inductions

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Abstract

The elastic properties of the flux line lattice (FLL) in type II superconductors are calculated from the linearized Ginzburg-Landau (GL) theory for large inductionsB≈H c2 . They appear to be strongly nonlocal, i.e., the elastic modulic 11 andc 44 for homogeneous deformations do not apply if the strain field varies over distances λ/(1−B/H c2 )1/2 ≫d (λ is the penetration depth,d is the FL distance). For smaller strain wavelength,c 11 andc 44 are smaller by factors (1−B/H c2 )2/2κ2 and (1−B/H c2 )/ 2κ2, respectively. The order parameter and local field of a deformed FLL exhibit the expected spatial “frequency modulation,” but also a pronounced “amplitude modulation” whose degree of modulation increases with the strain wavelength. The results of further calculations avoiding the linearization of the GL theory are given.

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References

  1. R. Labusch,Crystal Lattice Defects 1, 1 (1969).

    Google Scholar 

  2. E. J. Kramer,J. Appl. Phys. 44, 1360 (1973).

    Google Scholar 

  3. A. I. Larkin and Yu. N. Ovchinnikov,Sov. Phys.—JETP 38, 854 (1974).

    Google Scholar 

  4. R. Schmucker and H. Kronmüller,Phys. Stat. Sol. (b)61, 181 (1974).

    Google Scholar 

  5. A. M. Campbell and J. Evetts,Critical Currents in Superconductors (Taylor and Francis, London, 1972).

    Google Scholar 

  6. P. Haasen and H. C. Freyhardt, eds.,Proc. Int. Discussion Meeting on Flux-Pinning in Superconductors, Sonnenberg, Germany, 1974 (Akademie der Wissenschaften, Göttingen).

  7. R. Labusch,Phys. Stat. Sol. 19, 715 (1967).

    Google Scholar 

  8. R. Labusch,Phys. Stat. Sol. 32, 439 (1969).

    Google Scholar 

  9. E. H. Brandt,Phys. Stat. Sol. 36, 381 (1969).

    Google Scholar 

  10. E. H. Brandt,Phys. Stat. Sol. (b)77, 551 (1976).

    Google Scholar 

  11. E. H. Brandt,Phys. Stat. Sol. (b)51, 345 (1972).

    Google Scholar 

  12. A. Seeger and H. Kronmüller,Phys. Stat. Sol. 27, 371 (1968).

    Google Scholar 

  13. R. Labusch,Phys. Rev. 170, 470 (1968).

    Google Scholar 

  14. A. I. Larkin,Sov. Phys.—JETP 31, 784 (1970).

    Google Scholar 

  15. E. H. Brandt,Phys. Stat. Sol. (b)71, 277 (1975).

    Google Scholar 

  16. G. Eilenberger,Phys. Rev. 164, 628 (1967).

    Google Scholar 

  17. A. A. Abrikosov,Sov. Phys.—JETP 5, 1174 (1957).

    Google Scholar 

  18. G. Leibfried, inHandbuch der Physik, S. Flügge, ed. (Springer, Berlin, 1958), Vol. 7–1.

    Google Scholar 

  19. E. H. Brandt, to be published.

  20. P. G. de Gennes,Superconductivity of Metals and Alloys (Benjamin, New York, 1966).

    Google Scholar 

  21. R. Schmucker and E. H. Brandt, to be published inPhys. Stat. Sol. (b) (February 1977).

  22. V. G. Kogan,J. Low Temp. Phys. 20, 103 (1975).

    Google Scholar 

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  1. Max-Planck-Institut für Metallforschung, Institut für Physik, Stuttgart, Germany

    E. H. Brandt

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  1. E. H. Brandt
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Brandt, E.H. Elastic energy of the vortex state in type II superconductors. I. High inductions. J Low Temp Phys 26, 709–733 (1977). https://doi.org/10.1007/BF00654876

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