Coherent current correlations in a double-dot Cooper pair splitter
arXiv:2110.11134 · doi:10.1103/PhysRevB.104.155410
Abstract
Exact analytical formulas are derived, by means of Keldysh Green functions, for currents and current correlation functions in a Cooper pair splitter modelled on a double quantum dot system coherently coupled to a superconductor and two normal metallic electrodes. Confining to the subspace with the inter-dot singlet we show perfect entanglement of split electrons in two separated crossed Andreev reflection processes. The studies are focused on the noise power spectrum in a whole bias voltage range. In particular, in the large voltage limit shot noise dominates and its spectrum exhibits two extraordinary side dips related to resonant inter-level current correlations caused by coherent electron-hole recombination processes accompanied by emission and absorption of photons. In the linear response limit we derived the frequency dependent admittance which shows different interference patterns for the cross and the auto current correlations.
12 pages, 5 figures
References in corpus (15)
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Near-unity Cooper pair splitting efficiency
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Cooper Pair Splitting by means of Graphene Quantum Dots
- Scattering matrix approach to the description of quantum electron transport
- Current and noise correlations in a double dot Cooper pair beam splitter
- Decoherence and relaxation of a single electron in a one dimensional conductor
- Non-Markovian effects in the Quantum noise of interacting nanostructures
- The noise spectra of a biased quantum dot
- Superconducting transport through a vibrating molecule
- Steps and dips in the ac conductance and noise of mesoscopic structures
- Spin correlation and entanglement detection in Cooper pair splitters by current measurements using magnetic detectors
- Finite-frequency noise in a quantum dot with normal and superconducting leads
- Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
- Charge fluctuations and feedback effect in shot noise in a Y-terminal system