Critical vortex line length near a zigzag of pinning centers

Physics – Condensed Matter – Superconductivity

Scientific paper

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

Scientific paper

10.1140/epjb/e2004-00352-1

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.

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