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We explore the possibility of using the inhomogeneous magnetic field carriedby an Abrikosov vortex in a type-II superconductor to localize spin-polarizedtextures in a nearby magnetic semiconductor quantum well. We show howZeeman-induced localization induced by a single vortex is indeed possible, anduse these results to investigate the effect of a periodic vortex array on thetransport properties of the magnetic semiconductor. In particular, we find anunconventional Integer Quantum Hall regime, and predict directly testableexperimental consequences due to the presence of the periodic spin polarizedstructure induced by the superconducting vortex lattice in the magneticsemiconductor.Comment: 12 pages, 15 figure

Effect of the Abrikosov vortex phase on spin and charge states in magnetic semiconductor-superconductor hybrids