The effect of the Abrikosov vortex phase on spin and charge states in magnetic semiconductor-superconductor hybrids
Tatiana G. Rappoport, Mona Berciu, Boldizsar Janko

TL;DR
This paper investigates how Abrikosov vortices in type-II superconductors can create localized spin textures in adjacent magnetic semiconductors, leading to novel quantum Hall effects and testable experimental predictions.
Contribution
It demonstrates the potential of using vortex-induced magnetic fields to control spin states and transport properties in magnetic semiconductor-superconductor hybrid systems.
Findings
Zeeman-induced localization by a single vortex is possible
Periodic vortex arrays induce unconventional Integer Quantum Hall regimes
Predicts experimental signatures of vortex-induced spin structures
Abstract
We explore the possibility of using the inhomogeneous magnetic field carried by an Abrikosov vortex in a type-II superconductor to localize spin-polarized textures in a nearby magnetic semiconductor quantum well. We show how Zeeman-induced localization induced by a single vortex is indeed possible, and use these results to investigate the effect of a periodic vortex array on the transport properties of the magnetic semiconductor. In particular, we find an unconventional Integer Quantum Hall regime, and predict directly testable experimental consequences due to the presence of the periodic spin polarized structure induced by the superconducting vortex lattice in the magnetic semiconductor.
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