The influence of external fields on the energy of two interacting electrons in a quantum dot

In this paper, the effects of both an external electric field and an external magnetic field on the energy of two interacting electrons in a two-dimensional parabolic quantum dot are investigated for various quantum states (n,|m|)(n,|m|) in the framework of the asymptotic iteration method. It is seen that the energy eigenvalues increase monotonically with increasing electric and magnetic field strengths in the weak- and strong-field regimes. However, the behavior is slightly different in the two regimes. Whereas the energy values increase linearly in the low-electric-field regime, they increase much more than linearly in the strong-field regime. This paper demonstrates that it is possible to obtain the energy eigenvalues of two electrons in a two-dimensional parabolic quantum dot not only for cases with and without an electric field and with and without a magnetic field, but also for cases where magnetic and electric fields (either strong or weak) are present simultaneously.

► The energy eigenvalues of two electrons in a 2D quantum dot in external electric and magnetic fields are discussed. ► The effects of the fields on the energies are obtained for strong and weak fields. ► The energies increase monotonically with increasing field. ► The increase in the energies in weak fields has a different behavior from that in strong fields.► The method used here is very efficient for discovering the effects of external fields on different states.