Influence of the spatially dependent effective mass on bound polarons in finite parabolic quantum wells

The effect of the electron- phonon interaction including the longitudinal optical phonons, the four branches of interface optical phonons and the effect of spatial dependence effective mass have been considered to investigate the bound polaron energy levels in finite parabolic quantum wells. A modified variational method is adopted to obtain the dependence of the ground state and the binding energies of bound polarons on the alloy composition x in finite GaAs/AlxGa1- xAs quantum wells. It is found from the numerical result that there is an obvious contribution of the interaction between the electron and the longitudinal optical phonons as well as interface phonons on the polaron energy levels. The electron- phonon interaction should not be neglected to study the electron state problem in parabolic quantum wells.