Finite-height effect on electron energy structure of lead salts nanorods

Abstract

The effect of the finite height of a cylindrical lead salt nanorod on its electronic structure is studied within the effective mass formalism. It is demonstrated that for most practical purposes it can be accounted for by sampling the subband dispersion dependencies of the infinite cylindrical quantum wire of the same radius at wave numbers $k_z=\pi n_z/H$, where $H$ is the nanorod height and $n_z$ is an integer. However, under certain conditions the otherwise degenerate electron energy levels will repel. A detailed account of these conditions is provided.