Excitons em fios quânticos core-shell com efeito de carga imagem

Abstract

In this work we study the effect of image charge potential on the confinement of exciton in core-shell quantum wire with high differences in dielectric constants, the “dieletric mismatch”, of the materials that form the nanostructures. The effect caused by the dielectric constant mismatch is modeled by the imaging charge method and takes into account the electron self-energy potential of the light and heavy hole, also considering the interaction between electron and the images produced by the hole and the interaction between the hole. and the images produced by the electron. Theoretical investigation is based on the numerical solution of the Schrödinger equation independent of time between the approximation of the effective mass and the mathematical formalism of the envelope function. Total exciton energy is calculated using the one parameter variational method. The theoretical method is applied to nanostructures whose ratios of well and barrier dielectric constants vary between values greater than and less than 1. For the calculation of the bond energy and the total exciton energy we take into account three approximations, which characterize all possible interactions of bearers. The purpose was to describe the correction made in the analytical calculation of the exciton total energy due to the indirect potential Wind, which include all interactions related to the image loads.