Electron–phonon effects on Stark shifts of excitons in parabolic quantum wells: Fractional-dimension variational approach

Electron–phonon effects on Stark shifts of excitons in parabolic quantum wells are studied theoretically by using a fractional dimension method in combination with a Lee–Low–Pines-like transformation and a perturbation theory. The numerical results for the exciton binding energies and electron–phonon contributions to the binding energies as functions of the well width and the electric field in the Al0.3Ga0.7As parabolic quantum well structure are obtained. It is shown that both exciton binding energy and electron–phonon contributions have a maximum with increasing the well width. The binding energy and electron–phonon contribution decrease significantly with increasing the electric-field strength, in special in the wide-well case.