Transparency windows for plasma waves on the surface of the nanotube with a superlattice

Abstract

Within the framework of the model electron energy spectrum on the nanotube surface with a superlattice in a magnetic field, an exact expression for the polarization operator of a degenerate electron gas was obtained. The shape and size of the plasma waves Landau damping regions on the tube throughout the Brillouin zone were calculated. The influence on these areas of the position of  Fermi level in the miniband was considered. The conditions for the resonance absorption of plasmon on the tube by electrons were found. The limiting transition towards the nanotube without superlattice was performed.