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Published December 1, 1996 | Published
Journal Article Open

Vortex pinning by cylindrical defects in type-II superconductors: Numerical solutions to the Ginzburg-Landau equations

Abstract

We numerically integrate the one-dimensional, cylindrically symmetric Ginzburg-Landau equations to calculate the spatial variation of the order parameter and supercurrents for a vortex trapped by a cylindrical defect. We use the resulting field distributions to estimate the pinning energy, and make use of the vortex/two-dimensional boson analogy to calculate the depinning temperature. The microscopic behavior oi the fields depends on the size, and the conductivity of the cylindrical defect appears to be important for the pinning.

Additional Information

© 1996 The American Physical Society. Received 15 January 1996; revised 10 July 1996. S.M. would like to acknowledge support from Caltech's Ph11 and SURF programs that made his participation possible. The work was supported in part by the National Science Foundation (Grants No. DMR94-01315 and No. DMR93-18931), the Office of Naval Research (Grant No. N00014-91-J-1556), and the David and Lucile Packard Foundation.

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August 22, 2023
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