Binding energy of a donor in a quantum-well heterostructure

Abstract
The binding energy of a hydrogenic donor in a quantum well is calculated as a function of well width, taking into account the nonparabolicity of the conduction band. The nonparabolicity causes an increase in the binding energy much greater than reported earlier. This increase, which is more pronounced for a deeper well, is attributed to the change in the quantum-well wave function outside the well due to the nonparabolicity. The nonparabolicity effectively increases the well depth, and this increase is larger for larger well depths.