Binding Energy of Positively and Negatively Charged Excitonsin GaAs/Al_xGa_1-xAs Quantum Wells

Using a simple two-parameter wavefunction, we calculate variationally the binding energy of positively and negatively charged excitons in GaAs/Al_xGa_1-xAs quantum wells for the well widths from 10 to 300Å, We consider the effect of effective mass, dielectric constant mismatch in the two materials, and the whole correlation among the particles. The results are discussed and compared in detail with previous experimental and theoretical results, which show a fair agreement with them.