Microscopic theory of Cooper pair beam splitters based on carbon nanotubes

Abstract

We analyze microscopically a Cooper pair splitting device in which a central superconducting lead is connected to two weakly coupled normal leads through a carbon nanotube. We determine the splitting efficiency at resonance in terms of geometrical and material parameters, including the effect of spin-orbit scattering. While the efficiency in the linear regime is limited to 50% and decay exponentially as a function of the width of the superconducting region we show that it can rise up to $\sim 100$ in the non-linear regime for certain regions of the stability diagram.

5 pages, 5 figures

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Cited by in corpus (36)

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• Spin-resolved Andreev transport through double-quantum-dot Cooper pair splitters
• Cooling by Cooper pair splitting
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Subradiant split Cooper pairs
• Spin-polarized Andreev transport influenced by Coulomb repulsion through two quantum dot system
• Multipair DC-Josephson Resonances in a biased all-superconducting Bijunction
• Electrical control of crossed Andreev reflection and spin-valley switch in antiferromagnet/superconductor junctions
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• Odd-frequency Superconductivity Revealed by Thermopower
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• From Cooper pair splitting to the non-local spectroscopy of a Shiba state
• Noise and full counting statistics of a Cooper pair splitter
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• Probing individual split Cooper-pairs using the spin qubit toolkit
• Spin filtering and entanglement detection due to spin-orbit interaction in carbon nanotube cross-junctions
• Electron waiting times in hybrid junctions with topological superconductors
• Splitting efficiency and interference effects in a Cooper pair splitter based on a triple quantum dot with ferromagnetic contacts
• Proposal for the observation of nonlocal multipair production: the biSQUID
• Quartets and the Current-Phase Structure of a Double Quantum Dot Superconducting Bijunction at Equilibrium
• Non-collinear spin-orbit magnetic fields in a carbon nanotube double quantum dot
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Theory of non-equilibrium noise in general multi-terminal superconducting hydrid devices: application to multiple Cooper pair resonances
• Entanglement witnessing in superconducting beamsplitters
• Local and Nonlocal Shot Noise in High-$T_C$ Superconducting Nanowires
• Noise cross-correlation and Cooper pair splitting efficiency in multi-teminal superconductor junctions
• Full Counting Statistics of Generic Spin Entangler with Quantum Dot-Ferromagnet detectors
• Three-terminal normal-superconductor junction as thermal transistor
• Generic model for Cooper pair splitting
• Efficient Cooper Pair Splitting Without Interactions
• Long-range Cooper pair splitting by chiral Majorana edge states
• Interference Effect of Beam Splitter Current in Iron-Pnictide Superconductors