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

Abstract

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.