Electron injection in a nanotube: noise correlations and entanglement

Details Electron injection in a nanotube: noise correlations and entanglement Electron injection in a nanotube: noise correlations and entanglement

2002-09-12

arxiv.org/abs/cond-mat/0209291v3

Phys. Rev. B 67, 205408 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 2 figures

Scientific paper

10.1103/PhysRevB.67.205408

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 both in the absence and in the presence of one dimensional Fermi liquid leads. 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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