The Paraelastic Interaction between Lattice Defects and Flux Lines

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Abstract
Within the framework of the micromagnetic theory of superconductivity explicit expressions for the elastic stresses of flux lines are derived. The dependence of the stress tensor on the superconducting parameters λ, ξ, and χ is discussed. It is shown that the magnetic pressure associated with the magnetic field gives rise to elastic stresses of the same order of magnitude as the contribution from the Δ V/V effect of the order parameter. Explicit expressions are derived for the pinning forces exerted by dislocations on flux, lines. They are found to be approximately proportional to the condensation energy H/8π.