Electric field and image charge effects on impurity-bound polarons in a CdS colloidal quantum dot embedded in organic matrices

An adiabatic variational approach is used to study the ground and first excited states of a hydrogen-like impurity bound polaron in a colloidal quantum dot (QD) under an external electric field, including image charge effect (ICE). The binding energy (BE) of donor impurity is calculated by taking into account the interaction of an electron with both bulk-type longitudinal optical (LO) phonons and interface optical phonons. Calculations have been carried out for CdS colloidal quantum dots embedded in thiophenol and oleic acid. Both parabolic confinement and electric field effects on the binding energy and its polaronic shift for 1s and 2s hydrogen-like states with and without ICE are investigated in detail.