Exciton bound to an ionized donor impurity in GaAs/Ga1−xAlxAs ellipsoidal finite-potential quantum dots under hydrostatic pressure

► The tunneling effects are very important for the small ellipsoidal quantum dot sizes for the bound exciton system. ► The peak of the binding energy shifts towards a smaller ellipsoidal quantum dot size as the pressure is increased. ► The binding energy of the bound exciton decreases as the symmetry of the dot shape reduces. ► The binding energy increases monotonically as the pressure or Al concentration increases. ► The influence of pressure or Al concentration is more pronounced for the smaller quantum dot sizes.