The size effect of the tetragonal quantum dot on the self-polarization under the spatial electric field

In this paper, the effect of the spatial electric field on the hydrogenic impurity self-polarization and binding energy in a GaAs/AlAs tetragonal quantum dot are calculated by the variational method based on the effective mass approximation. We have shown that the self-polarization and binding energy of a hydrogenic impurity in a tetragonal quantum dot depends strongly on the \(\theta\) $\theta$ angle of the spatial electric field, the size effect (L_z/L ratio (M)), the volume of the dot, and impurity position. Furthermore, we define the angle \({\theta }_{max}\) ${\theta }_{\mathit{max}}$ , which aligns the spatial electric field vector with the position vector of the hydrogenic impurity on the diagonal axis. It has been noted that self-polarization reaches its peak at this particular angle.