The effects of applied compressive stress on the binding energies of shallow-donor
impurity states with a finite confinement potential in symmetrical GaAs/AlGaAs
double quantum-well wires (DQWWs) are studied theoretically using a variational
procedure within the effective-mass approximation. Significant results for different wire
and barrier widths, shallow-donor impurity positions, and compressive stress
along the growth direction of the structure are obtained taking into account the
Γ–X crossover and the image charge effects in the calculations. Our results show that the
binding energy does not change appreciably with the size of the wire and barrier, or with
the donor ion position. We also find that for stress values up to 13.5 kbar, the binding
energy increases linearly with stress, while for stress values greater than 13.5 kbar, the
binding energies show nonlinear behavior. Moreover, in the limit of double quantum
wells (DQWs), our binding energy agrees with previously reported results. It is
pointed out that compressive stress is an important factor in studies of the binding
energies of shallow-donor impurity states in symmetrical GaAs/AlGaAs DQWWs.