Studying the properties of carbon nanotubes with the functional integration method

R. F. Akhmet'yanov^a, V. O. Ponomarev^b, O. A. Ponomarev^c, E. S. Shikhovtseva<sup>a

a</sup> Institute of molecule and crystal physics RAS
^b Moscow State Academy of Water Transport
^c Institute of Cell Biophysics, Russian Academy of Sciences

Abstract: We obtain an exact, closed, self-consistent system of equations for describing nanotubes that takes electron and oscillation subsystems in the collective variables into account. Collective excitations in nanotubes are described by the quantum numbers $n$, $m$, and $k$, where $n$ – $1$ is the number of radial modes, $m$ is the number of azimuthal modes, and $k$ – $1$ is the number of longitudinal modes of the wave function. The results obtained approximate the experimental data better than those obtained by the method of linear combinations of atomic orbitals.

Keywords: nanotube, superconductivity, delayed ionization, electrical properties of nanostructures, magnetic properties of nanostructures, nanomaterial structure.

Received: 14.10.2005
Revised: 23.03.2006

DOI: 10.4213/tmf3837

 English version: Theoretical and Mathematical Physics, 2006, 149:1, 1407–1423

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