Multiple Andreev reflections as a transport problem in energy space

Abstract

We present an approach for analyzing the dc current in voltage biased quantum superconducting junctions. By separating terms from different $n$-particle processes, we find that the $n$-particle current can be mapped on the problem of wave transport through a potential structure with $n$ barriers. We discuss the relation between resonances in such structures and the subgap structures in the current-voltage characteristics. At zero temperature we find, exactly, that only processes creating real excitations contribute to the current. Our results are valid for a general SXS-junction, where the X-region is an arbitrary non-superconducting region described by an energy-dependent transfer matrix.

11 pages, 4 figures, submitted to Superlattices and Microstructures

References in corpus (1)

• Resonant transport through midgap states in voltage-biased Josephson junctions of d-wave superconductors

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