The magnetic response of a degenerate electron gas in nanotubes with superlattice

Abstract

Within the framework of a simple model of the energy spectrum of electrons on the nanotube surface with a superlattice in a magnetic field, an analytical expression for the magnetic moment of a degenerate electron gas is obtained. It is shown that in the case of a large number of filled energy levels of the transverse motion of electrons there exist monotonous and oscillating contributions to the magnetic moment. The oscillation part demonstrates de Haas-van Alphen type of oscillation on electron density and Aharonov-Bohm like oscillations on longitudinal magnetic field.