Band gap renormalization and Coulomb correlation effects in the optical spectra of a one dimensional electron hole plasma

Summary form only given. It is often proposed that band gap renormalization (BGR) can be assessed directly from the optical spectrum of a high density plasma. As Coulomb correlations in such a system lead both to renormalization of the energies, and to broadening of the energy states, this direct determination is not always as easy as it may seem. 1D systems, with their associated divergences in the density of states, should therefore be model system for BGR studies. In a previous study, using time resolved luminescence techniques, we have clearly shown the absence of any shift of the observed 1D structures up to the highest densities. We then proposed that BGR had to be small to explain such results. We now develop a model which allows us to compute the optical spectrum of a 1D system, including Coulomb correlations within a two particle system.