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We study theoretically the plasmon scattering at the intersection of two metallic carbon nanotubes. We demonstrate that for a small angle of crossing, $theta ll 1$, the transmission coefficient is an oscillatory function of $lambda/theta$, where $lam bda$ is the interaction parameter of the Luttinger liquid in an individual nanotube. We calculate the tunnel density of states, $ u(omega,x)$, as a function of energy, $omega$, 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 $ u(omega,x)$ due to the plasmon scattering acquire an aperiodic slow-breathing envelope which has $lambda/theta$ nodes.
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