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Electron injection in a nanotube: Noise correlations and entanglement

2002/09/30 by Adeline Crépieux, A. Crepieux, R. Guyon +2 · 1 citation
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.67.205408

published as Phys. Rev. B 67, 205408 (2003) · 12 pages, 2 figures

arxiv created 2003/03/20 · openalex publication_date 2003/05/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Transport through a metallic carbon nanotube is considered, where electrons are injected in the bulk by a scanning tunneling microscope tip. The charge current and noise are computed. For an infinite homogeneous nanotube, the shot noise exhibits effective charges different from the electron charge. Noise correlations between both ends of the nanotube are positive, and occur to second order only in the tunneling amplitude. The positive correlations are symptomatic of an entanglement phenomenon between quasiparticles moving right and left from the tip. This entanglement involves many body states of the boson operators which describe the collective excitations of the Luttinger liquid.

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