Semiconductor nanocrystals in a magnetic field

The influence of a magnetic field on the electron and hole energy spectra of spherical uniform and multilayer semiconductor nanocrystals is investigated. The calculations are performed within the k·p method and envelope function approximation. The valence subband mixing is taken into account by considering a two-band Hamiltonian for the hole states. It is shown that the magnetic-field dependence of the energy spectrum varies strongly with the size and composition of the nanocrystals. Several interesting phenomena, like spatial polar separation of the one-electron charge density in quantum dot--quantum well structures or crossover from confinement in the external shell to the internal core in quantum dot--quantum barrier systems under the influence of a magnetic field are reported.