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Proximity-induced superconductivity in two-dimensional electronic systems

N. B. Kopnin, A. S. Melnikov

DOI 10.1103/PhysRevB.84.064524 · Physical Review B

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Abstract

The approach applicable for spatially inhomogeneous and time-dependent problems associated with the induced superconductivity in low-dimensional electronic systems is developed. This approach is based on the Fano-Anderson model which describes the decay of a resonance state coupled to a continuum. We consider two types of junctions made of a ballistic two-dimensional electron gas placed in a tunnel finite-length contact with a bulk superconducting leads. We calculate the spectrum of the bound states, supercurrent, and the current-voltage curve which show a rich structure due to the presence of induced gap and dimensional quantization.

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