Quantum Monte Carlo study of nonequilibrium transport through a quantum dot coupled to normal and superconducting leads

Abstract

We investigate the nonequilibrium phenomena through the quantum dot coupled to the normal and superconducting leads using a weak-coupling continuous-time Monte Carlo method. Calculating the time evolution of particle number, double occupancy, and pairing correlation at the quantum dot, we discuss how the system approaches the steady state. We also deduce the steady current through the quantum dot beyond the linear response region. It is clarified that the interaction decreases the current in the Kondo-singlet dominant region. On the other hand, when the quantum dot is tightly coupled to the superconducting lead, the current is increased by the introduction of the Coulomb interaction, which originates from the competition between the Kondo and proximity effects. Transient currents induced by the interaction quench are also addressed.

8 pages, 7 figures

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• Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads
• Quench dynamics of correlated quantum dot proximitized to superconducting lead
• Nonequilibrium Kondo effect by equilibrium numerical renormalization group method: The hybrid Anderson model subject to a finite spin bias
• Inelastic Kondo-Andreev tunnelings in a vibrating quantum dot
• Nonlocal Andreev transport through a quantum dot in a magnetic field: Interplay between Kondo, Zeeman, and Cooper-pair correlations
• Transport properties for a quantum dot coupled to normal leads with pseudogap
• Enhanced negative nonlocal conductance in an interacting quantum dot connected to two ferromagnetic leads and one superconducting lead
• Keldysh field theory approach to direct electric and thermoelectric currents in quantum dots coupled to superconducting leads
• Nonequilibrium transport through a quantum dot coupled to normal and superconducting leads
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots