Coherent Electron Transport in Superconducting-Normal Metallic Films
Frank K. Wilhelm(1), Andrei D. Zaikin (1,2), Herve Courtois (3)., ((1) Institut fuer Theoretische Festkoerperphysik, Universitaet Karlsruhe,, Karlsruhe, Germany. (2) P.N. Lebedev Physics Institute, Moscow, Russia. (3), CRTBT-CNRS, associe a l'Universite Joseph Fourier, Grenoble

TL;DR
This paper investigates how the conductance of wide, diffusive normal metal films attached to superconductors can vary with temperature, revealing behaviors different from narrower systems and explaining recent experimental anomalies.
Contribution
It develops a quantitative theory for the temperature-dependent conductance in wide superconducting-normal metal films, highlighting differences from quasi-one-dimensional systems.
Findings
Conductance can increase or decrease with temperature in wide films.
The theory explains the anomalous proximity effect observed experimentally.
Physical mechanisms underlying the conductance behavior are clarified.
Abstract
We study the transport properties of a quasi-two-dimensional diffusive normal metal film attached to a superconductor. We demonstrate that the properties of such films can essentially differ from those of quasi-one-dimensional systems: in the presence of the proximity induced superconductivity in a sufficiently wide film its conductance may not only increase but also decrease with temperature. We develop a quantitative theory and discuss the physical nature of this effect. Our theory provides a natural explanation for recent experimental findings referred to as the ``anomalous proximity effect''.
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