The eigenvalues of very narrow quantum wells
The eigenvalues of isolated (100) AlAs/GaAs/AlAs quantum wells with widths approximately 5-50 AA are determined within a many-band pseudopotential model. Analytical formalisms, based upon effective mass and k.p theory are also considered. The non-parabolic model of Bastard (1985) is shown to produce eigenvalues that are within approximately 3% of the pseudopotential estimates. It is shown that the inclusion of non-parabolicity is essential if an accurate quantitative description of the eigenvalues is required.