Magnetic energy bands of carbon nanotubes

Abstract

Landau quantization of the π energy bands of a carbon nanotube is calculated within the tight-binding approximation. The energy bands do not show explicit Landau levels, but they do have energy dispersion for all values of magnetic field. The energy bandwidth shows oscillations with a period that is scaled by a cross section of the unit cell of the tubule, which is specified by the symmetry of the nanotube.