Conduction band non-parabolicity effect on the binding energy and the diamagnetic susceptibility of an on-center hydrogenic impurity in spherical quantum dots

Energy eigenvalues, binding energy and diamagnetic susceptibility of an on-center hydrogenic impurity confined in typical GaAs/AlxGa1−xAs spherical quantum dots are theoretically investigated, using the matrix diagonalization method. In this regard, the effect of band non-parabolicity has been performed, by means of the Luttinger–Kohn effective mass equation. The lower-lying states, the binding energy and the diamagnetic susceptibility of the hydrogenic impurity are computed as a function of the dot size, with and without conduction band non-parabolicity effect. Results show that the band edge non-parabolicity considerably changes the electronic structure, the binding energy and the diamagnetic susceptibility, especially at small radii.

Graphical abstractConduction band non-parabolicity effect considerably changes the binding energy and the diamagnetic susceptibility of a hydrogenic impurity in SQDs, especially at small radii. Diamagnetic susceptibility of an on-center hydrogenic impurity with parabolic (full line) and non-parabolic (dashed line) conduction band, for x=0.3.Figure optionsDownload full-size imageDownload as PowerPoint slideResearch highlights► Band edge non-parabolicity effect on the physical properties of a SQD is studied. ► Considering the band edge non-parabolicity will increase the binding energy. ► Band non-parabolicity decreases the absolute value of the diamagnetic susceptibility.► This effect is prominent in dots with small radii and high potential barriers.