The Elementary Interaction between a Crystal Dislocation and the Flux Line Lattice of a Type II Superconductor

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Abstract
Analytical expressions for the interaction force between the flux line lattice (FLL) and parallel crystal dislocations are derived within the framework of the micromagnetic theory of superconductivity in the field range 0.6Hc2 < Hext < Hc2. The interaction force was calculated for the ΔV‐effect which results from the inhomogeneous distribution of the order parameter and of the magnetic induction in the periodic FLL. The force exerted per unit length of the FLL by an edge dislocation depends on the value of the applied external magnetic field Hext, and for niobium is of the order of magnitude 10−4dyn/cm, while it turns out to vanish for the case of a parallel screw dislocation. At the upper critical field Hc2 the pinning force due to one dislocation vanishes for a rigid FLL, however, for the volume pinning force a constant value is obtained.