Exciton binding energy in spherical quantum dots in a magnetic field

Abstract

The binding energy of an exciton in spherical GaAs quantum dots in a magnetic field is calculated by a variational approach within the effective-mass approximation. The quantum dot is modeled by an isotropic parabolic potential. The magnetic effects on exciton binding energies and exciton energy levels in spherical GaAs quantum dots with different parabolic potentials are studied. The calculated results indicate that the interplay of the spatial confinement and the magnetic confinement on electrons and holes in the quantum dots leads to complicated exciton binding energies, and high magnetic fields obviously enhance exciton binding energies in the case of the weak spatial confinement.