Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires

Hybrid semiconducting nanowire devices combining epitaxial superconductor and ferromagnetic insulator layers have been recently explored experimentally as an alternative platform for topological superconductivity at zero applied magnetic field. In this proof-of-principle work we show that the regime can be reached in actual depending on some geometrical constraints. To end, perform numerical simulations of InAs wires which explicitly include superconducting Al EuS shells, well interaction with electrostatic environment a self-consistent mean-field level. Our calculations both proximity effects tuned by nearby gates thanks to their ability move wavefunction across wire section. We find phase is achieved significant portions diagram only configurations where overlap facet, due rather local direct induced spin polarization appearance extra indirect exchange field through superconductor. While obvious relevance explanation recent experiments, tunable are interest broader spintronics.