Regensburg 2013 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 75: Transport: Spintronics and magnetotransport 1 (TT, jointly with HL, MA)
HL 75.12: Vortrag
Donnerstag, 14. März 2013, 12:30–12:45, H18
Entanglement detection in Cooper pair splitters based on carbon nanotubes in magnetic fields — •Pablo Burset1,2, Bernd Braunecker1, and Alfredo Levy Yeyati1 — 1Departamento de Fisica Teorica de la Materia Condensada, Universidad Autonoma de Madrid, E-28049 Madrid, Spain — 2Institute for Theoretical Physics and Astrophysics, University of Wuerzburg, Am Hubland, 97074 Wuerzburg, Germany
The production of entangled electron pairs in a solid state device from the splitting of a Cooper pair is currently attracting much attention. Recent experiments have shown that Cooper pairs can be split in a controlled fashion in double quantum dot structures. In this talk I will describe how spin-orbit interaction in carbon nanotubes presents unique characteristics for the study of the entanglement of injected pairs of electrons.
I will briefly introduce the double dot Cooper pair splitter device based on carbon nanotubes. In this setup, I will review the form of spin-orbit interaction and demonstrate that it leads to a perfect spin filter with spin orientations tunable by external fields. Tunable spin-orbit induced spin-filtering allows to implement entanglement detectors, such as probing a Bell inequality. These detectors can rely on conductance measurements alone and do not require the precise knowledge of the spin orientations of the spin filter. Yet if in addition the spin orientations are known, the same setup can be used for full quantum state tomography.