Ground State of a Two-Electron Quantum Dot with a GaussianConfining Potential

Abstract

We investigate the ground-state properties of a two-dimensional two-electronquantum dot with a Gaussian confining potential under the influence ofperpendicular homogeneous magnetic field. Calculations are carried out by using themethod of numerical diagonalization of Hamiltonian matrix within theeffective-mass approximation. A ground-state behaviour(singlet⟶triplet state transitions) as a function of the strength ofa magnetic field has been found. It is found that the dot radius R of theGaussian potential is important for the ground-state transition and thefeature of ground-state for the Gaussian potential quantum dot (QD), and the parabolicpotential QDs are similar when R is larger. The larger the quantum dotradius, the smaller the magnetic field for the singlet-triplet transition ofthe ground-state of two interacting electrons in the Gaussian quantum dot.