Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead

Abstract

We analyze the nonequilibrium dynamics and steady-state behavior of the two-terminal Anderson-Holstein model with a superconducting and a normal conducting lead. In the deep Kondo limit we develop an analytical description if no phonons are included and a rate equation approach when phonons are present. Both cases are compared with the numerically exact diagrammatic Monte Carlo method obtaining a good agreement. For small voltages we find a pronounced enhancement of phonon sidebands due to the SC DOS.

11 pages, 9 figures, accepted for publication in Physica E

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• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
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• Generic model for Cooper pair splitting