Abstract

In this paper, using an improved linear combination operator method and variational technique, the expression of the bound polaron effective mass ratio in a parabolic quantum well is derived. Due to the spin–orbit interaction, the effective mass ratio of bound polaron splits into two branches. The relations among effective mass ratio with temperature, electron–phonon coupling strength and Coulomb bound potential strength are discussed by numerical calculation. The effective mass ratio of polaron is an increasing function of temperature, electron–phonon coupling strength and Coulomb bound potential strength. The absolute value of spin splitting effective mass ratio increases with the increase of temperature, spin–orbit coupling parameter, electron–phonon coupling strength and Coulomb bound potential strength, respectively, and decreases with the increase of velocity. Due to the heavy hole characteristic, the spin splitting effective mass ratio is negative.

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