Journal of Low Temperature Physics

, Volume 46, Issue 3–4, pp 205–217 | Cite as

The elastic Green's function for the pinned flux-line lattice in a type II superconductor

  • H. R. Kerchner
Article

Abstract

The elastic Green's function for the pinned flux-line lattice in the critical state is defined and evaluated in the coherent potential approximation. The presence of pinning sites contributes an additional restoring force, which must be calculated within a complete theory of the critical state, but which can be measured. Results are given for the dependence of the Green's function on the density of strong flux-line pins, and a criterion is derived for the applicability of the dilute-limit approximation. This criterion is never satisfied near the upper and lower critical fields. Assuming that the pins all interact sufficiently strongly with the flux-line lattice to exceed the threshold criterion, we find that the Green's function decreases (the flux-line lattice becomes more rigid) with increasing pin density.

Keywords

Magnetic Material Critical State Threshold Criterion Critical Field Complete Theory 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. M. Campbell and J. E. Evetts,Adv. Phys. 21, 199 (1972).Google Scholar
  2. 2.
    R. Labusch,Crystal Lattice Defects 1, 1 (1969).Google Scholar
  3. 3.
    E. H. Brandt,J. Low Temp. Phys. 26, 709 (1977).Google Scholar
  4. 4.
    A. M. Campbell,J. Phys. C 4, 3186 (1971).Google Scholar
  5. 5.
    R. J. Elliot, J. A. Krumhansl, and P. L. Leath,Rev. Mod. Phys. 46, 465 (1974).Google Scholar
  6. 6.
    A. M. Campbell,Phil. Mag. B 37, 149 (1978).Google Scholar
  7. 7.
    R. Schmucker and E. H. Brandt,Phys. Stat. Sol. (B) 79, 479 (1977).Google Scholar
  8. 8.
    E. H. Brandt,J. Low Temp. Phys. 28, 291 (1977).Google Scholar
  9. 9.
    H. R. Kerchner, J. Narayan, D. K. Christen, and S. T. Sekula,Phys. Rev. Lett. 44, 1146 (1980).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • H. R. Kerchner
    • 1
  1. 1.Solid State DivisionOak Ridge National LaboratoryOak Ridge

Personalised recommendations