MATHEMATICS

Scattering by a junction of “zig-zag” and “armchair” nanoutubes

I. S. Lobanov, I. Yu. Popov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics

Abstract: The quantum graph model of junction of zig-zag and armchair signle-wall carbon nanotubes is considered. The spectrum is completely described. A condition on appearance of states localized near the interface is provided. All localized states are explicitly calculated.

Keywords: carbone nanotube, quantum graph, scattering.

UDC: 517, 958

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