Effect of Rashba interaction and Coulomb correlation on the ground state energy of a GaAs quantum dot with parabolic confinement

The ground state energy of a parabolically confined quantum dot placed in an external magnetic field is studied taking into account the effects of the Rashba spin–orbit interaction (SOI) and electron–electron interaction. With a simple and physically reasonable model potential for electron–electron interaction term, the problem is solved exactly to second order in the Rashba coupling constant.