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arXiv · 0711.4248

Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint

Ayman Kachmar
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Abstract

This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained.

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Ayman Kachmar. 2007-11-28. Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. https://arxiv.org/abs/0711.4248

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