Zeeman coherence and optical nonlinearity of magnetoexcitons in single quantum dots

Summary form only given. The fine structures of magnetoexcitons in single quantum dots are under intensive research. It is now well known that the doublet structures in the exciton photoluminescence arise from the long-range part of the electron-hole exchange interaction and those doublet states have mutually orthogonal linear polarizations due to the anisotropic shape of each quantum dot. Under a magnetic field, these linearly polarized exciton states are mixed together and as a result the circular polarization appears. We have calculated the exciton fine structures employing the Luttinger Hamiltonian to take into account the coupling between the heavy hole and the light hole bands and including both of the long-range and the short-range exchange interactions. For example, for an elliptical shape GaAs quantum disk we have obtained the magnetic field dependence of the splitting energy of the lowest exciton doublet.