Quantum Mechanical Model for Plasmon Excitations in Nanostructures

Abstract

In this work, we develop a theoretical quantum mechanical model for describing the plasmon excitations in nanostructures. This model is based on the electronic density according to the Density Functional Theory (DFT). We derive an expression for finding an approximation to the dispersion relation in a nanostructure from the complete Hamiltonian of the system. We apply this expression to an aluminium nanoring showing how great, and not negligible, the ionic-interaction term is.