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Superconducting insulators and localization of Cooper pairs
Rapid miniaturization of electronic devices and circuits demands profound understanding of
fluctuation phenomena at the nanoscale. Superconducting nanowires – serving as important
building blocks for such devices – may seriously suffer from fluctuations which tend to
destroy long-range order and suppress superconductivity. In particular, quantum phase slips
(QPS) proliferating at low temperatures may turn a quasi-one-dimensional superconductor
into a resistor or an insulator. Here, we introduce a physical concept of QPS-controlled
localization of Cooper pairs that may occur even in uniform nanowires without any dielectric
barriers being a fundamental manifestation of the flux-charge duality in superconductors. We
demonstrate – both experimentally and theoretically – that deep in the “insulating” state such
nanowires actually exhibit non-trivial superposition of superconductivity and weak Coulomb
blockade of Cooper pairs generated by quantum tunneling of magnetic fluxons across
the wire.