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A number of recent experiments indicate that the iron-chalcogenide FeSeprovides the long-sought possibility to study bulk superconductivity in thecross-over regime between the weakly coupled Bardeen--Cooper--Schrieffer (BCS)pairing and the strongly coupled Bose--Einstein condensation (BEC). We reporton $^{77}$Se nuclear magnetic resonance experiments of FeSe, focused on thesuperconducting phase for strong magnetic fields applied along the $c$ axis,where a distinct state with large spin polarization was reported. We determinethis high-field state as bulk superconducting with high spatial homogeneity ofthe low-energy spin fluctuations. Further, we find that the static spinsusceptibility becomes unusually small at temperatures approaching thesuperconducting state, despite the presence of pronounced spin fluctuations.Taken together, our results clearly indicate that FeSe indeed features anunusual field-induced superconducting state of a highly spin-polarized Fermiliquid in the BCS-BEC crossover regime.

Superconductivity of highly spin-polarized electrons in FeSe probed by $^{77}$Se NMR