A Wannier Exciton in a Quantum Well: Subband Dependence

Abstract

Variational calculations are performed to investigate the subband dependence of the ground (1s type) and a few excited (2s and 2p type) states of a Wannier exciton in a quantum well. It is shown that (i) binding energies and oscillator strengths of excitons depend strongly not only on the width of the well but also on (electron and hole) subbands of the well with which excitons are associated and (ii) as the well changes from a thin well to a thick one, binding energies of most excitons for higher subbands do not change monotonically between two- and three-dimensional results.