Spin–spin and spin–orbit interaction effects of two-electron quantum dots

Simultaneous effects of spin–spin and spin–orbit interactions on the energy spectrum of a two-electron spherical quantum dot with parabolic confinement and under the influence of external electric and magnetic fields are investigated. We have calculated energy eigenvalues and eigenvectors of the system for different spin states. Results show that effects of spin–spin interactions are negligible in comparison with those of the spin–orbit interactions. Spin–orbit interaction splits energy levels and removes degeneracy of different spin states. Moreover it is seen that energy eigenvalues and levels splitting strongly depend on the external magnetic field and the dot dimensions.