Shot noise for entangled and spin-polarized electrons

Details Shot noise for entangled and spin-polarized electrons Shot noise for entangled and spin-polarized electrons

2002-10-22

arxiv.org/abs/cond-mat/0210498v1

NATO Science Series, "Quantum Noise in Mesoscopic Physics", vol. 97, pp 241-274, Kluwer, 2003, The Netherlands

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

35 Kluwer pages, 12 figures - to appear in an upcoming NATO SERIES volume on noise

Scientific paper

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 calculate current and shot noise for spin-polarized currents and entangled/unentangled electron pairs in a beam-splitter geometry with a \textit{local} Rashba spin-orbit (s-o) interaction in the incoming leads. We find \textit{continuous} bunching and antibunching behaviors for the \textit{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. 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. We find an additional spin rotation for electrons with energies near the crossing of the bands where s-o induced 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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