Electron injection in a nanotube: noise correlations and entanglement

Adeline Crépieux (1) , Rodolphe Guyon (1) , Pierre Devillard (1) , Thierry Martin (1)

1 CPT - Centre de Physique Théorique - UMR 6207

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.

Domaines: Electrons fortement corrélés [cond-mat.str-el]

Adeline Crépieux, Rodolphe Guyon, Pierre Devillard, Thierry Martin. Electron injection in a nanotube: noise correlations and entanglement. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2003, 67 (20), pp.205408. ⟨10.1103/PhysRevB.67.205408⟩. ⟨hal-00004468⟩