Abstract
Superconducting MoGe nanowires with extremely small transverse dimensions have served as unique platforms for exploring physical phenomena in one-dimensional (1D) superconductors. Here we report on networks of superconducting MoGe nanowires with transverse dimensions down to a few nanometers, fabricated by sputter-deposition of MoGe onto commercially available filtration membranes containing dense nanopores. These networks of nanowires exhibit physical properties of individual MoGe nanowires, such as thermally activated phase slips---a dissipation mechanism expected for 1D superconducting nanowires. Furthermore, anomalies in the magnetic field versus temperature phase diagram around 1.2--1.5 Tesla and in the magnetoresistance curves can be understood with the Little--Parks effect, consistent with the multiply connected nature of a network of 1D nanowires.
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