Local field effects in an isolated quantum dot: Self-consistent microscopic approach

A self-consistent microscopic local-field theory for an isolated arbitrary shaped quantum dot (QD) has been presented. In our approach we introduce into the Schrödinger equation a depolarization field induced by an external electromagnetic field, and combine this idea with the second quantization technique for electron-hole pairs. As a result, we succeeded in deriving the general self-consistent nonlinear equations for the system "QD + classical electromagnetic field". In the linear approximation, our approach reproduces microscopically the depolarization shift of the QD gain band and, in anisotropically shaped QDs, polarization dependent splitting of this band.