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We experimentally investigate charge transport in In-GeTe and In-GeTe-Inproximity devices, which are formed as junctions between superconducting indiumleads and thick single crystal flakes of $\alpha$-GeTe topological semimetal.We observe nonmonotonic effects of the applied external magnetic field,including reentrant superconductivity in In-GeTe-In Josephson junctions:supercurrent reappears at some finite magnetic field. For a single In-GeTeAndreev junction, the superconducting gap is partially suppressed in zeromagnetic field, while the gap is increased nearly to the bulk value for somefinite field before its full suppression. We discuss possible reasons for theresults obtained, taking into account spin polarization of Fermi arc surfacestates in topological semimetal $\alpha$-GeTe with a strong spin-orbitcoupling. In particular, the zero-field surface state spin polarizationpartially suppresses the superconductivity, while it is recovered due to themodified spin-split surface state configuration in finite fields. As analternative possible scenario, the transition into theFulde-Ferrell-Larkin-Ovchinnikov state is discussed. However, the role ofstrong spin-orbit coupling in forming the nonmonotonic behavior has not beenanalyzed for heterostructures in the Fulde-Ferrell-Larkin-Ovchinnikov state,which is crucial for junctions involving GeTe topological semimetal.

Reentrant proximity-induced superconductivity for GeTe semimetal