The dependence of the binding energy of a shallow donor impunity on it
s position in an asymmetrical system of tunnel-coupled quantum wells i
s mainly determined by the structure of the one-electron envelope func
tions and the difference between the dielectric constants of the quant
um-well and barrier materials. An effective technique is suggested for
calculating the binding energies and envelope functions of the shallo
w donor states in type-I heterostructures with narrow wells and barrie
rs. We present the results of calculations for AlxGa1-xAs-GaAs structu
res with two or more quantum wells without imposing any restrictions o
n the ratios of their sizes. (C) 1997 American Institute of Physics.