Effect of the parabolic potential on the binding energy of a hydrogenic impurity in a spherical quantum dot

Shallow-donor states in spherical quantum dots with parabolic confinement

“…The evidence of a parabolic potential well in quantum wires and dots was reported in the literature [4,5], and a parabolic potential is often considered to be a good representation of the "barrier" potential in semiconductor quantum dots [6][7][8]. The theoretical description of the behavior of a hydrogenic on-center donor in a spherical dot for rectangular and parabolic potentials will lead to a better understanding of the properties of a spherical quantum dot, and it is the subject of this paper.…”

Computation of ionization and various excited state energies ofhelium and helium‐like quantum dots

“…The confined systems in all three dimensions are called quantum dots (QDs), which are often referred to as artificial atoms that show the properties of atoms such as discrete energy levels and shell structures [2,3]. Therefore, some authors have focused on the electronic structure, energy levels, binding energies, relativistic effects, optic properties, and other physical parameters of QDs by using various methods such as variational approach [4,5], perturbation [6,7], quantum genetic algorithm (QGA) and Hartree-Fock Roothaan (HFR) [8][9][10][11][12][13], exact solution [14,15], and other methods [16,17].…”

Binding energy of a screened donor in a spherical quantum dot with a parabolic potential

“…Xiao et al [12] and Varshni [13] have calculated the binding energy of the ground state of a hydrogenic donor in a spherical quantum dot under a parabolic potential by a variational method within the effective mass approximation. The donor potential was taken to be the Coulomb potential.…”

“…We have suggested a new form of the wavefunction for the screened donor problem (which includes the hydrogenic case) and we present results by the suggested wavefunction. For the hydrogenic donor case, we also give the results by the wavefunction used by Xiao et al [12]. To assess the accuracy of the results we have also obtained 'exact' energies by numerical integration of the Schrödinger equation.…”