Adiabatic pumping in a double-dot Cooper-pair beam splitter

Abstract

We study adiabatic pumping through a double quantum dot coupled to normal and superconducting leads. For this purpose a perturbation expansion in the tunnel coupling between the dots and the normal leads is performed and processes underlying the pumping current are discussed. Features of crossed Andreev reflection are investigated in the average pumped charge and related to local Andreev reflection in a single quantum dot. In order to distinguish Cooper pair splitting from quasi-particle pumping, we compare the properties of Cooper pair pumping with single-electron pumping in a system with only normal leads. The dependence on the average dot level and the coupling asymmetry turn out to be the main distinguishing features. This is contrasted with the linear conductance for which it is more difficult to distinguish single-particle from Cooper pair transport.

10 pages, 5 figures

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Cited by in corpus (22)

• Thermoelectric performance of a driven double quantum dot
• Spin-resolved Andreev transport through double-quantum-dot Cooper pair splitters
• Spin-polarized Andreev transport influenced by Coulomb repulsion through two quantum dot system
• Electron Waiting Times of a Cooper Pair Splitter
• Interplay between direct and crossed Andreev reflections in hybrid nano-structures
• Renormalization effects in interacting quantum dots coupled to superconducting leads
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Noise and full counting statistics of a Cooper pair splitter
• Thermodynamics and steady state of quantum motors and pumps far from equilibrium
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Probing individual split Cooper-pairs using the spin qubit toolkit
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Functional renormalization group in Floquet space
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Dynamic Cooper Pair Splitter
• Adiabatic Cooper pair splitter
• Optimal Entanglement Witness for Cooper Pair Splitters
• Full Counting Statistics of Generic Spin Entangler with Quantum Dot-Ferromagnet detectors
• Autler-Townes Doublet observation via a Cooper-Pair Beam Splitter
• Quantum transport phenomena induced by time-dependent fields
• Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor
• A Cooper-pair beam splitter as a feasible source of entangled electrons