Spin Relaxation of an Impurity Polaron in a Parabolic Quantum Dot

Abstract

We have studied theoretically the spin relaxation of an impurity polaron, which arises from the electron interactions with the longitudinal optical phonon between the sublevel Zeeman splitting of the ground-state, by employing a variational method for a parabolic quantum dot (QD). In fact, this process occurs by the absorption of a deformation potential acoustic phonon. With Rashba spin-orbit coupling, the expression of the spin relaxation rate of an impurity polaron as functions of the radius of QD, the Lande factor parameter, the magnetic field adjusting length has been derived. Results of the numerical calculation show that the spin relaxation rate decreases with increasing the radius of QD and enlarges with increasing the magnetic field adjusting length when the magnetic field adjusting length $R_{b} <0.7r_{0}$. In addition, we find that the spin relaxation rate is an increasing function of the Lande factor parameter.