Hamburg 2001 – scientific programme
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HL: Halbleiterphysik
HL 35: Quantenpunkte und -dr
ähte: Optische Eigenschaften II
HL 35.6: Talk
Thursday, March 29, 2001, 16:45–17:00, S6
Theory of electron quatum size energy levels and Zeeman effect in spherical semiconductor nanocrystals — •Anna Rodina1,2, Alexander Efros3, Mervin Rosen3, and Bruno Meyer1 — 1I. Physics Institute,Justus-Liebig University of Giessen, Giessen, Germany — 2Ioffe Physico-Technical Institute of RAS, St.- Petersburg, Russia — 3Naval Research Laboratory, Washington DC, USA
Optical properties of semiconductor nanocrystals in the presence of magnetic field are determined by the fine structure of electron and hole quantum size energy levels. We develop a theory of linear Zeeman effect for the carriers in an arbitrary confinement potential having spherical symmetry in the framework of multiband effective mass model. The confining conditions in spherical nanocrystals and spherically layered semiconductor heterostructures are modeled by considering material and energy band parameters as functions of the radial coordinate in the position space. We found that heterostructure interfaces and nanocrystal surface affect directly the electron and hole quantum size energy levels and effective g-values and study these effects for bare CdS, CdSe and CdTe nanocrystals. The dependencies of the electron effective g- values on the nanocrystal radius and on the quantum size electron energy are calculated with the different choices of the boundary conditions imposed on the envelope functions at the surface. The comparison with experimental data provides a direct test of the boundary condition for the multiband model.