Induced superconductivity in 2D electronic systems

TL;DR

This paper develops a theoretical approach based on the Fano--Anderson model to analyze induced superconductivity in 2D electronic systems, focusing on bound states, supercurrent, and current-voltage characteristics in various junction configurations.

Contribution

It introduces a new theoretical framework for studying spatially inhomogeneous and time-dependent induced superconductivity in low-dimensional systems.

Findings

Calculated bound state spectra and supercurrents in 2D junctions.

Identified rich structures in current-voltage curves due to induced gaps.

Analyzed effects of dimensional quantization on superconducting properties.

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 2D 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.