Theoretical investigation of energy spectrum of carbon nanotubes in the frame of strong related state conception

Abstract

Single-walled carbon nanotubes are treated as systems with strong correlations due to a strong Coulomb interaction between π-electrons at one site. The energy spectrum of such a system is shown to be divided into two Hubbard subbands. Due to this restructuring the rule of multiplicity of three, according to which a nanotube has a metallic conductivity if the difference between the chiral indices is a multiple of three or behaves as a semiconductor or a dielectric in the opposite case, does not work.