The theory of exciton spectrum in multi-shell hexagonal semiconductor nanotube is developed within the effective 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, approaching several minimal and maximal magnitudes. The obtained theoretical results explain well the experimental positions of luminescence peaks for GaAs/Al 0.4 Ga 0.6 As nanotubes.
The energy spectrum of an electron in a quasiplane superlattice of cylindrical β-HgS quantum dots in a β-CdS matrix has been calculated using the modified augmented plane wave method. The electronic miniband responsible for the electron motion in the superlattice plane is formed solely if the cylinder height to radius ratio exceeds a certain minimal value. The dependence of band parameters (bottom energy E 0 and the effective mass of an electron m) on geometrical dimensions of dots and the distance between them is established.
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