Re-entrance of the metallic conductance in a mesoscopic proximity superconductor
P. Charlat (a), H. Courtois (a), Ph. Gandit (a), D. Mailly (b), A.F., Volkov (c), and B. Pannetier (a) ((a) CRTBT-CNRS, Grenoble, France, (b), LMM-CNRS, Bagneux, France, (c) IRE-RAS, Moscow, Russia)

TL;DR
This paper experimentally investigates how metallic conductance re-enters in a mesoscopic normal metal-superconductor system at very low temperatures, influenced by bias voltage and magnetic flux, with results aligning with quasiclassical theory.
Contribution
It demonstrates the re-entrance of metallic conductance in a mesoscopic regime and explores its dependence on bias voltage and magnetic flux, supported by experimental data and theoretical modeling.
Findings
Re-entrance of metallic conductance observed at low temperatures.
Bias voltage suppresses the re-entrance effect.
Magnetic flux enhances the re-entrance phenomenon.
Abstract
We present an experimental study of the diffusive transport in a normal metal near a superconducting interface, showing the re-entrance of the metallic conductance at very low temperature. This new mesoscopic regime comes in when the thermal coherence length of the electron pairs exceeds the sample size. This re-entrance is suppressed by a bias voltage given by the Thouless energy and can be strongly enhanced by an Aharonov Bohm flux. Experimental results are well described by the linearized quasiclassical theory.
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