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We study the influence of the inverse proximity effect on thesuperconductivity nucleation in hybrid structures consisting of thesemiconducting nanowires placed in contact with a thin superconducting film anddiscuss the resulting restrictions on the operation of Majorana-based devices.A strong paramagnetic effect for electrons entering the semiconductor togetherwith spin-orbit coupling and van Hove singularities in the electronic densityof states in the wire are responsible for the suppression of superconductingcorrelations in the low field domain and for the reentrant superconductivity athigh magnetic fields in the topologically nontrivial regime. The growth of thecritical temperature in the latter case continues up to the upper criticalfield destroying the pairing inside the superconducting film due to eitherorbital or paramagnetic mechanism. The suppression of the homogeneoussuperconducting state near the boundary between the topological andnon-topological regimes provides the conditions favorable for theFulde-Ferrel-Larkin-Ovchinnikov instability.

Inverse proximity effect in semiconductor Majorana nanowires