PHOTOLUMINESCENCE SPECTRA IN SEMICONDUCTOR CONFINED SYSTEMS - EFFECTSOF COULOMB CORRELATION

The interacting electron-hole system is investigated in the framework of non-equilibrium Green's functions. Using the Bethe-Salpeter equatio n in the ladder approximation we derive a set of equations for tile po larization of the interacting electron and hole system. By solving the se equations we reproduce the photoluminescence spectrum for a continu ous wave excitation. Calculations are performed in the one-dimensional case using a contact potential for electron-hole interaction, which a llows to perform most of the steps of the calculations analytically. T he main features of the one dimensional Coulomb correlation, namely th e exciton blue drift due to phase space filling; and the Sommerfeld fa ctor are reproduced. The dependence of the spectra on the density and energy of the pump is discussed.