The influence of the self-consistency on intraband optical transitions in semiconductor quantum dot

Within the envelope-function approximation a self-consistent procedure for calculating the energy structure, wave functions and charge distribution in spherically symmetric semiconductor quantum dots is presented, that takes account of both bound and free electron states. The Schrodinger and Poisson equation are solved iteratively while using the Morse-type parametrized potential to keep the charge neutrality in each iterative step. Numerical calculations performed for GaAs-Al_0.3Ga_0.7As based quantum dot indicate that the self-consistent potential very significantly modifies the free states wave functions and hence the bound-free transition matrix elements