2-ELECTRON QUANTUM DOTS IN MAGNETIC-FIELD

A theoretical description is given for electronic properties of semico nductor quantum dots in a magnetic field. A two-electron model is appl ied for electrons in a cylindrical quantum dot with a parabolic confin ement potential. The eigenvalue problem is solved by the variational m ethod with the trial wave function proposed in the form of linear comb ination of S-type and P-type Gaussians. The energy levels of singlet a nd triplet states with arbitrary radial and magnetic quantum numbers h ave been calculated as a function of the applied magnetic field. The c alculated cyclotron transition energies agree well with those measured for InGaAs/GaAs quantum dots. It is shown that the electron-electron interaction has a small influence on the transition energy.