Journal of Low Temperature Physics

, Volume 26, Issue 5–6, pp 709–733 | Cite as

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

  • E. H. Brandt
Article

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 modulic11 andc44 for homogeneous deformations do not apply if the strain field varies over distances λ/(1−B/H c2 )1/2d (λ is the penetration depth,d is the FL distance). For smaller strain wavelength,c11 andc44 are smaller by factors (1−B/H c2 )2/2κ 2 and (1−B/H c2 )/ 2κ 2 , 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.

Keywords

Vortex Frequency Modulation Magnetic Material Penetration Depth Elastic Property 

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Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • E. H. Brandt
    • 1
  1. 1.Max-Planck-Institut für Metallforschung, Institut für PhysikStuttgartGermany

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