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Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads

2008/02/29 by Michele Governale, Marco Pala, Marco G. Pala +1 · 4 citations
Materials Science · Physics and Astronomy · #Andreev reflection #Bound state #Condensed matter physics #Graphene research and applications #Josephson effect #Materials science #Nanotechnology #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Proximity effect (electron beam lithography) #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Superconducting quantum computing #Superconductivity #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.77.134513

published as Phys. Rev. B 77, 134513 (2008); Phys. Rev. B 78, 069902(E) (2008) · 16 pages, 10 figures, few typos corrected

openalex publication_date 2008/04/17 · arxiv created 2008/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a real-time diagrammatic theory for transport through interacting quantum dots tunnel coupled to normal and superconducting leads. Our formulation describes both the equilibrium and nonequilibrium superconducting proximity effects in a quantum dot. We study a three-terminal transistor geometry, consisting of a single-level quantum dot tunnel coupled to two phase-biased superconducting leads and one voltage-biased normal lead. We compute both the Josephson current between the two superconductors and the Andreev current in the normal lead, and analyze their switching on and off as well as transitions between 0 and \ensuremathπ states as a function of gate and bias voltages. For the limit of large superconducting gaps in the leads, we describe the formation of Andreev bound states within an exact resummation of all orders in the tunnel coupling to the superconducting leads, and we discuss their signature in the nonequilibrium Josephson and Andreev currents and the quantum-dot charge.

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