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Vortices in stratified and nonlocal superconductors.

Static-vortex solutions for a type-II superconductor, obtained from a systematic procedure using Fourier transformation, are presented. The superconductor may be stratified with different values of the London penetration depth and/or nonlocal. Nonlocal screening of electromagnetic fields is accounted for by using Pippard theory, giving results which may be useful for low Ginzburg-Landau parameter superconductors. Dirty and clean limits are examined. Boundary-value problems are formulated and both three-dimensional (3D) and 2D (pancake) vortex solutions are obtained. The calculation of derived quantities such as magnetic flux is illustrated.