Electron spin waves of the surface of a nanotube

The spin-wave spectrum of a non-ferromagnetic electron gas on the surface of a nanotube in a magnetic field has been considered. The electron-electron interaction has been taken into account in the Hartree-Fock approximation. The dynamic spin susceptibility tensor of the electron gas has been calculated in the random-phase approximation. The spectra of intrasubband and intersubband magnons have been calculated in the quantum and semi-classical cases. It has been shown that, for a large number of occupied subbands, the spin-wave frequencies exhibit de Haas-van Alphen and Aharonov-Bohm oscillations with a change in the electron density and the magnetic flux through the cross section of the nanotube.