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Shot noise for entangled and spin-polarized electrons

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0210498v1.pdf
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2003

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Egues, J. Carlos
Recher, Patrik
Saraga, D. S.
Golovach, V. N.
Sukhorukov, Eugene V.
Loss, Daniel

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Published

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NAZAROV, Yu. V., ed.. Quantum Noise in Mesoscopic systems. Dordrecht: Springer Netherlands, 2003, pp. 241-274. Available under: doi: 10.1007/978-94-010-0089-5_12

Zusammenfassung

We review our recent contributions on shot noise for entangled electrons and spin-polarized currents in novel mesoscopic geometries. We first discuss some of our recent proposals for electron entanglers involving a superconductor coupled to a double dot in the Coulomb blockade regime, a superconductor tunnel-coupled to Luttinger-liquid leads, and a triple-dot setup coupled to Fermi leads. We briefly survey some of the available possibilities for spin-polarized sources. We use the scattering approach to calculate current and shot noise for spin-polarized currents and entangled/unentangled electron pairs in a novel beamsplitter geometry with a local Rashba spin-orbit (s-o) interaction in the incoming leads. For single-moded incoming leads, we find continuous bunching and antibunching behaviors for the entangled pairs triplet and singlet as a function of the Rashba rotation angle. In addition, we find that unentangled triplets and the entangled one exhibit distinct shot noise; this should allow their identification via noise measurements. Shot noise for spin-polarized currents shows sizable oscillations as a function of the Rashba phase. This happens only for electrons injected perpendicular to the Rashba rotation axis; spin-polarized carriers along the Rashba axis are noiseless. The Rashba coupling constant alpha; is directly related to the Fano factor and could be extracted via noise measurements. For incoming leads with s-o induced interband-coupled channels, we find an additional spin rotation for electrons with energies near the crossing of the bands where interband coupling is relevant. This gives rise to an additional modulation of the noise for both electron pairs and spin-polarized currents. Finally, we briefly discuss shot noise for a double dot near the Kondo regime.

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530 Physik

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Shot noise, entanglement, spintronics, quantum dots, Luttinger liquids

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ISO 690EGUES, J. Carlos, Patrik RECHER, D. S. SARAGA, V. N. GOLOVACH, Guido BURKARD, Eugene V. SUKHORUKOV, Daniel LOSS, 2003. Shot noise for entangled and spin-polarized electrons. In: NAZAROV, Yu. V., ed.. Quantum Noise in Mesoscopic systems. Dordrecht: Springer Netherlands, 2003, pp. 241-274. Available under: doi: 10.1007/978-94-010-0089-5_12
BibTex
@incollection{Egues2003noise-4788,
  year={2003},
  doi={10.1007/978-94-010-0089-5_12},
  title={Shot noise for entangled and spin-polarized electrons},
  publisher={Springer Netherlands},
  address={Dordrecht},
  booktitle={Quantum Noise in Mesoscopic systems},
  pages={241--274},
  editor={Nazarov, Yu. V.},
  author={Egues, J. Carlos and Recher, Patrik and Saraga, D. S. and Golovach, V. N. and Burkard, Guido and Sukhorukov, Eugene V. and Loss, Daniel}
}
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