Critical vortex line length near a zigzag of pinning centers

Abstract

A vortex line passes through as many pinning centers as possible on its way from one extremety of the superconductor to the other at the expense of increasing its self-energy. In the framework of the Ginzburg-Landau theory we study the relative growth in length, with respect to the straight line, of a vortex near a zigzag of defects. The defects are insulating pinning spheres that form a three-dimensional cubic array embedded in the superconductor. We determine the depinning transition beyond which the vortex line no longer follows the critical zigzag path of defects.

arXiv comment8 pages, 25 figures with low resolution option, 1 table. To be published in Eur. Phys. Jour. B

References in corpus (5)

• The Flux-Line Lattice in Superconductors
• Deformation and Depinning of Superconducting Vortices from Artificial Defects: A Ginzburg-Landau Study
• The Average Kinetic Energy of the Superconducting State
• Magnetic Properties of the transition to localized superconductivity around columnar defects
• Transition to a Superconductor with Insulating Cavities

Cited by in corpus (3)

• Effect of the boundary condition on the vortex patterns in mesoscopic three-dimensional superconductors - disk and sphere
• Vortex pattern in a nanoscopic cylinder
• Three-dimensional Ginzburg-Landau simulation of a vortex line displaced by a zigzag of pinning spheres