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.