Properties of acoustic polaron in free-standing slab

Abstract

We investigated the ground state energy (GSE), ground state mobility (GSM), ground state lifetime (GSL), effective mass of acoustic polaron in free -standing slab using Pekar variational method. The influence of the electron and longitudinal acoustic phonon interaction, the slab thickness on the dynamics of acoustic polaron is highlighted. We showed that the slab thickness affects the dynamics of acoustic polaron. Although the standing slab is free, its thickness confines acoustic polaron and self-trapping state arrived. We first found that the GSE and effective mass of polaron increase with decreasing the thickness of the slab. Secondly, the wave function exhibits the threshold value where mobility and life time vanish.