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


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.


Magnetic Material Critical State Threshold Criterion Critical Field Complete Theory 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

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

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