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Supergap anomalies in cotunneling between normal-superconducting and between two superconducting leads via a small quantum dot

V. V. Mkhitaryan, M. E. Raikh

DOI 10.1103/PhysRevB.77.195329 · Physical Review B

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Abstract

Cotunneling current through a resonant level coupled to either normal and superconducting or to two superconducting leads is studied for the domain of bias voltages V, exceeding the superconducting gap 2Δ. Due to the on-site repulsion in the resonant level, cotunneling of an electron is accompanied by the creation of a quasiparticle in a superconducting lead. Energy conservation imposes a threshold for this inelastic transport channel: Vc=3Δ for normal-superconductor case and Ṽc=4Δ for the superconductor-superconductor (S-S) case. We demonstrate that the behavior of the current near the respective thresholds is nonanalytic, namely, δIin(V)∝(V−Vc)3/2Θ(V−Vc) and δIin(V)∝(V−Ṽc)Θ(V−Ṽc). Stronger anomaly for the S-S leads is the consequence of the enhanced density of states at the edges of the gap. In addition, the enhanced density of states makes the threshold anomalies for two-electron cotunneling processes in the Coulomb-blockaded regions more pronounced than for the normal-normal leads.

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