Binding energy of hydrogenic impurities in polar cylindrical quantumdot

Abstract

We have studied the polaron effect on the binding energy of shallow hydrogenicimpurities in a cylindrical quantum dot using a variational approach for thefinite confinement potential. The interactions of charge carriers (electron andion) with both the confined LO phonon and surface phonons (SSO and TSO) aretaken into account. The effect of these three phonon modes on the bindingenergy of a shallow donor is examined. The emphasis is placed on the dependenceof the polaronic corrections on the quantum dot size. It is found that thecorrection due to the LO phonons is more important than that due to thesurface optical phonon modes.