Electron states in the quantum wire with periodic serial structure

TL;DR

This paper investigates electron states in a quantum wire with a periodic 1D crystal structure, analyzing how electron waves and Bloch modes interact and split into multiplets through direct Schrödinger equation solutions.

Contribution

It introduces a model for quantum wires with periodic structures and analyzes electron mode splitting due to wave coupling using direct Schrödinger equation solutions.

Findings

Electron modes split into multiplets due to wave coupling.

Lateral modes are coupled with Bloch waves in the surrounding matrix.

Direct solution of Schrödinger equation reveals mode structure.

Abstract

A model quantum wire embedded in a matrix permeable to electron waves is investigated in terms of electronic states. The wire is assumed to have a 1D crystal structure. Through electron waves propagating in its surroundings, lateral modes are coupled with Bloch waves propagating along the wire axis, which results in modes splitting into multiplets. The results presented in this study have been obtained by direct solution of the Schrodinger equation in the effective mass approximation.