What is the average density of excitons on a two-dimensional semiconductor in an external magnetic (and without magnetic) field? What is the dependence of this density on the magnetic field B?
Dear Vladimir,
excitons are electrically neutral elementary excitations. You can weakly bound electron hole pairs compare with hydrogen systems. The effect of an magnetic field is described by the Zeeman effect. The influence of a reduced dimension is the limitation of the mobility to 2 dimensions and eventually a change in the binding energy. The Zeeman effect causes a splitting of the excitonic energy levels.
With regard
R. Mitdank
Dear Rüdiger ,
Thanks for the answer. The exciton has a certain radius. It is possible that not every conduction electron in a semiconductor is part of one of the excitons. Therefore, I am interested in the average number of excitons per unit area of a two-dimensional semiconductor, where in magnetic field B the average area of one quantum state is hc/eB, and all states are occupied by electrons and holes located on different Landau levels. More precisely, electrons are on different levels of Landau and holes are on different levels of Landau.
Yours
Vladimir
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