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 in 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 nano-ring showing how great, and not negligible, the ionic-interaction term is.

Surface plasmons induced in Al spherical nanoparticles by Auger effect

“…We follow the Hamiltonian formalism which considers the collective electron oscillations (plasmons) as generated by the interaction between the electron and the plasmon field [7,11].…”