Quantum interference in a Cooper pair splitter: The three sites model
arXiv:1605.09539 · doi:10.1016/j.physe.2015.09.040
Abstract
New generation of Cooper pair splitters defined on hybrid nanostructures are devices with high tunable coupling parameters. Transport measurements through these devices revealed clear signatures of interference effects and motivated us to introduce a new model, called the 3-sites model. These devices provide an ideal playground to tune the Cooper pair splitting (CPS) efficency on demand, and displays a rich variety of physical phenomena. In the present work we analyze theoretically the conductance of the 3-sites model in the linear and non-linear regimes and characterize the most representative features that arise by the interplay of the different model parameters. In the linear regime we find that the local processes typically exhibit Fano-shape resonances, while the CPS contribution exhibits Lorentzian-shapes. Remarkably, we find that under certain conditions, the transport is blocked by the presence of a dark state. In the non-linear regime we established a hierarchy of the model parameters to obtain the conditions for optimal efficency.
arXiv commentSpecial issue of Physica E "Frontiers in Quantum Electronic Transport - In Memory of Markus Büttiker". 7 pages, 6 figures
References in corpus (28)
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Carbon Nanotubes as Cooper Pair Beam Splitters
- Electronic Entanglement in the Vicinity of a Superconductor
- Noise of Entangled Electrons: Bunching and Antibunching
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Bell inequalities and entanglement in solid state devices
- Near-unity Cooper pair splitting efficiency
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Aharonov-Bohm oscillations in a mesoscopic ring with a quantum dot
- Finite bias Cooper pair splitting
- Quantum entanglement in carbon nanotubes
- Friedel phases and phases of transmission amplitudes in quantum scattering systems
- Superconducting proximity effect in interacting double-dot systems
- All-electronic coherent population trapping in quantum dots
- Scattering phases in quantum dots: an analysis based on lattice models
- Non-local spectroscopy of Andreev bound states
- Chaotic dot-superconductor analog of the Hanbury Brown Twiss effect
- Current and noise correlations in a double dot Cooper pair beam splitter
- Entanglement detection from conductance measurements in carbon nanotube Cooper pair splitters
- Local electrical tuning of the nonlocal signals in a Cooper pair splitter
- Electrical current noise of a beam splitter as a test of spin-entanglement
- Dephasing in sequential tunneling through a double-dot interferometer
- Dephasing-assisted transport in linear triple quantum dots
- Coulomb scattering in a 2D interacting electron gas and production of EPR pairs
- Generating spin-entangled electron pairs in normal conductors using voltage pulses
- Phonon-mediated decoherence in triple quantum dot interferometers
- Spin correlations in spin blockade
- Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
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- All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
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- Current cross-correlations and waiting time distributions in Andreev transport through Cooper pair splitters based on triple quantum dots
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