The effect of conduction band nonparabolicity on binding energy of a GaAs quantum dot embedded at the center of a Ga1-xAlxAs nano-wire

The effects of conduction band nonparabolicity, aluminum concentration and external electric field on the charge density and binding energy of an on-center hydrogenic donor impurity in a spherical quantum dot which is located at the center of a cylindrical nano-wire are studied. The energy eigenvalues and the corresponding wave functions are calculated using finite difference approximation within the effective mass framework. The results reveal that the binding energies (I) decrease as the electric field increases, (II) become negligible for large values of electric field, (III) increase as the aluminum concentration increases and (IV) the conduction band nonparabolicity has a noticeable effect on the binding energy, and hence should be taken into account.