Analytical Green’s function model for the evaluation of the linear and nonlinear optical properties of the excitons in quasi-two-dimensional systems

We present a physical model based on the Green's-function method for the description of excitons in quantum wells. The model takes into account the free carrier screening of the attractive Coulomb potential at finite temperature and the effective confinement potentials. We provide an expression for the calculation of the exciton binding energy as a function of the well width and of the plasma concentration both in III--V and II--VI quantum wells. Our theoretical predictions are in good agreement with experimental data.