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Abrikosov vortex lattices at weak magnetic fields

Article ID Journal Published Year Pages File Type
6415255 Journal of Functional Analysis 2012 28 Pages PDF
Abstract

We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magnetic field.

Keywords
SuperconductorsGinzburg–Landau equationMagnetic vortices
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Abrikosov vortex lattices at weak magnetic fields
Authors
Israel Michael Sigal, Tim Tzaneteas,
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Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
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Superconductors
Ginzburg–Landau equation
Magnetic vortices
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