Influence of spin-orbit interaction on the effective mass of bound polaron in a parabolic quantum well

Using Tokuda's linear combination operator method and variational technique, we derive the effective mass of strongly coupled bound polaron in a parabolic quantum well. Due to the spin-orbit interaction, the effective mass of bound polaron splits into two branches. In the present calculation, we discuss dependence of effective mass on vibration frequency, electron-phonon coupling strength, Coulomb-bound potential strength, spin-orbit and velocity. The theoretical results show that effective mass of polaron is an increasing function of vibration frequency, Coulomb-bound potential strength and electron-phonon coupling strength. The absolute value of the total spin-splitting effective mass increases with the increase of spin-orbit, but decreases with the increase of velocity. It is found that, due to the heavy hole characteristic of spin-orbit interaction, the total spin-splitting effective mass is negative.