Numerical analysis of the influence of the shape and size of semiconductor quantum dots on the energy state of electrons

Abstract

In this article we present a model for studying the effect of the sizes and shapes of small semiconductor quantum dots on the electron and hole energy states. We solve the three-dimentional Schrodinger equation for semiconductor quantum dots with cylindrical and conical shapes. Electron and hole energy states decreased if QD volume increased. Electron and hole energy states of the cylindrical QD is higher and sensitively on the volume shift than conical QD. Whereas, probability of density of state of electron in the cylindrical QD is higher (0.4%) than conical QD.