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arXiv · 0806.2152

Scattering of plasmons at the intersection of two metallic nanotubes: Implications for tunnelling

V. V. Mkhitaryan·Y. Fang·J. Gerton·E. G. Mishchenko·M. E. Raikh
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Abstract

We study theoretically the plasmon scattering at the intersection of two metallic carbon nanotubes. We demonstrate that for a small angle of crossing, $θ\ll 1$, the transmission coefficient is an oscillatory function of $λ/θ$, where $λ$ is the interaction parameter of the Luttinger liquid in an individual nanotube. We calculate the tunnel density of states, $ν(ω,x)$, as a function of energy, $ω$, and distance, $x$, from the intersection. In contrast to a single nanotube, we find that, in the geometry of crossed nanotubes, conventional "rapid" oscillations in $ν(ω,x)$ due to the plasmon scattering acquire an aperiodic "slow-breathing" envelope which has $λ/θ$ nodes.

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V. V. Mkhitaryan, Y. Fang, J. Gerton, E. G. Mishchenko, M. E. Raikh. 2009-01-08. Scattering of plasmons at the intersection of two metallic nanotubes: Implications for tunnelling. https://doi.org/10.1103/physrevlett.101.256401

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