The effect of the Rashba spin-orbit coupling on the ground-state energy of polaron in a parabolic quantum dot

We using a variational method of Pekar type to study the effect of the spin on the ground-state energy of a polaron in a parabolic quantum dot (QD). Under the influences of the Rashba spin-orbit (RSO) coupling and the Zeeman energy level splitting are taken into account, the expression of the ground-state energy of a polaron as functions of the radius of QD, the coupling constant and the magnetic field adjusting length was derived. We found that the ground-state energy and the spin-up (spin-down) ground-state splitting energy decrease with increasing the radius of QD. The absolute ratios of the ZeemanZeeman energy and RSO coupling energy to the ground-state energy are a decreasing function of the magnetic field adjusting length, respectively. The above results can be attributed to the interesting quantum size confining and spin effects.