Zy. Deng et Sw. Gu, EFFECTS OF IMAGE POTENTIAL ON ELECTRONIC AND IMPURITY STATES IN QUANTUM-WELLS, Physical review. B, Condensed matter, 48(11), 1993, pp. 8083-8088
The effects of an image potential on the electronic and hydrogenic imp
urity states in AlAs/GaAs/AlAs quantum wells are calculated by using v
ariational solutions to the effective-mass equation. The results we ha
ve obtained show that when the image potential is added the variations
of electronic state energy levels and impurity binding energies are s
ignificant, especially when the width of the quantum well becomes narr
ow. The results also show that the effects of the impurity-ion image p
otential on impurity binding energies are much larger than those of th
e electron image potential.