Critical depinning current of elastic vortex strings in superconductors with extended linear defects

Abstract

The problem of the depinning of an Abrikosov elastic vortex string from an extended linear defect in the plate of a 3D anisotropic superconductor of thickness d > 2λ (where λ is the London penetration depth) under the action of an inhomogeneously distributed transport current that flows in the surface shielding layer has been solved using classical mechanics approach. Conditions for the appearance of the instability of the pinned state of a vortex have been investigated and calculations of the corresponding critical current density on the surface at which the depinning of the vortex string occurs have been carried out. The dependence of the average of the critical current density on the thickness of the plate has been determined.