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

TL;DR

This paper investigates how the finite height of lead salt nanorods influences their electronic structure, showing that it can be approximated by sampling infinite wire dispersions and identifying conditions for energy level repulsion.

Contribution

It introduces a simplified method to account for finite-height effects in nanorods and details the conditions leading to electron energy level repulsion.

Findings

Finite height effects can be modeled by sampling infinite wire dispersions.

Energy level repulsion occurs under specific conditions.

A detailed analysis of degeneracy lifting in 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.