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.

► N-electron GaAs quantum dot is studied in the presence of Rashba coupling.
► Exactly soluble model is used for the electron–electron interaction.
► Rashba interaction is included through a unitary transformation.
► Total energy of the system decreases as Rashba coupling increases.
► Rashba interaction reduces the energy with increasing N.