The Vortex Lattice in Ginzburg-Landau Superconductors

dc.creatorBrandt, Ernst Helmut
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:43:02Z
dc.date.available2026-07-07T09:43:02Z
dc.descriptionAbrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy surrounded by relaxing vortices and to periodically distorted lattices that are needed in the nonlocal theory of elasticity of the vortex lattice. Generalizations to lower magnetic inductions and to three-dimensional arrangements of curved vortex lines are also given. Finally, it is shown how the periodic vortex lattice can be computed for bulk superconductors and for thick and thin films in a perpendicular field for all inductions B and Ginzburg-Landau parameters kappa.
dc.description20 pages, 12 figures, invited for Landau Issue 2008 of Electronic Journal of Theoretical Physics
dc.identifierhttps://arxiv.org/abs/0806.1058
dc.identifierhttp://arxiv.org/abs/0806.1058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162405
dc.subjectSuperconductivity
dc.titleThe Vortex Lattice in Ginzburg-Landau Superconductors
dc.typetext

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