Spin waves on the surface of a semiconductor nanotube with a superlattice

Abstract

Landau-Silin spin waves spectra on the surface of a cylindrical semiconductor nanotube with a superlattice were studied. The energy spectrum of the tube was derived within the framework of short-range electron interaction model in Hartree-Fock approximation. The components of the tensor of electron gas dynamic spin susceptibility were calculated using the random phase approximation. Spin waves spectra in the cases of low and high electron density were obtained. It was shown that the wave frequencies exhibit oscillations similar to de Haas-van Alphen oscillations upon variation of nanotube parameters and Aharonov-Bohm oscillations upon variation of the magnetic flux through its cross-section. The beating pattern in the spectrum of magnons was found.