Exciton spectrum in multi-shell hexagonal semiconductor nanotube

The theory of exciton spectrum in multi-shell hexagonal semiconductor nanotube is developed within the ef-fective masses and rectangular potentials approximations using the method of effective potential. It is shown that the exciton binding energy for all states non-monotonously depends on the inner wire diameter, approach-ing several minimal and maximal magnitudes. The obtained theoretical results explain well the experimental positions of luminescence peaks for GaAs/Al0.4Ga0.6As nanotubes. Key words: hexagonal nanotube, quantum wire, exciton spectrum PACS: 73.21.Hb, 78.67.Ch, 78.67.Lt 1