Magnetic and superconductive states in the repulsive Hubbard model
Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
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.
Minimizers of the Lawrence–Doniach energy in the small-coupling limit : finite width samples in a parallel field