Efeito de uma densidade superficial de carga sobre um elétron confinado num filme dielétrico

Abstract

In this paper we study the effects of charge surface density, in a dielectric slab, on the properties of a confined electron. We begin with a classical description and we derive the dispesion relation of surface plasmons. Then we include a quantum treatment, finding the operator that describes the electron-phonon interaction. In this case, the electronic polarizibility and the presence of delta doping are considered. We apply the perturbation method to calculate the energy level of a confined polaron and discuss the influence of the slab thickness and the dieletric constant ϵ∞. Finally, we present numerical results for InSb, GaAs and ZnSe films.