Influence of four confinement phonon models on the electron self-energy in a finite-square potential quantum-well

Abstract

In this article, we have used the variational method and four different confinement longitudinal optical (LO) phonon models to calculate the self-energy of the electron–confined LO-phonon interaction in a finite square well potential as a function of the width of the well, and the main results are compared with each other. This potential of the quantum well is well suited for the above purpose as it is more realistic than the infinite square potential quantum well (QW). Based on the calculated results, we show good agreement between the confined optical phonon models in two-dimensional structures. The results obtained show that the Huang-Zhu, the Fuchs-Kliewer, and the Knipp-Reinecke models are suitable for studies of the electron–LO-phonon (e–LO-p) interaction in QWs in which the use of the Fuchs-Kliewer model is the easiest because its theoretical model is very simple but effective. The result also shows that the Ridley model is not suitable for theoretical studies of the e–LO-p interaction in QWs because the electromagnetic boundary condition is not satisfied by this model.