Simultaneous effects of spatial electric field and spin–orbit interaction on the cubic quantum dot energy levels

In this article simultaneous effects of external electric field and spin–orbit interaction on the energy levels of a cubic quantum dot are studied. Using the standard perturbation method, we have calculate the energy eigenvalues and eigenfunctions of the system with and without considering the spin–orbit interaction. The results show that, in the ground state, different energies are correspond to different field strengths, energy decreases with increasing dimensions, and energy splitting due to the spin–orbit interaction is negligible. The effects of spin–orbit interaction on the first excited state are very large in comparison with the ground state. Spin–orbit interaction energy splitting depends on the dot dimension and spin–orbit interaction strength but is independent of the field strength.