Diamagnetic susceptibility of a magneto-donor in Inhomogeneous Quantum Dots

The binding energy and diamagnetic susceptibility χdia are investigated for a shallow donor confined to move in a spherical Inhomogeneous Quantum Dots “IQD” in the presence of a magnetic field. The calculation was performed with the use of a variational method in the effective mass approximation. We describe the effect of the quantum confinement by an infinite deep potential. The results for a spherical Inhomogeneous Quantum Dots made out of [Ga1−xAlxAs (Core)/GaAs (Well)/Ga1−xAlx  As (Shell)] show that the diamagnetic susceptibility and the binding energy increase with the magnetic field. There are more pronounced for large spherical layer. The binding energy and the diamagnetic susceptibility depend strongly on the donor position. We remark that the diamagnetic susceptibility presents a minimum corresponding to a critical value of the ratio of the inner radius to the outer radius R1R2crit, this critical value is important for nanofabrication techniques.

► We have shown that the diamagnetic susceptibility increase with the magnetic field. ► This increasing is more pronounced for larger spherical layer. ► The magneto-donor susceptibility as a function of the ratio R1/R2 present a minimum. ► The diamagnetic susceptibility depends strongly on the donor position.