Bandgap Narrowing in Quantum Wires

TL;DR

This study investigates how quantum wire geometry and external confinement influence bandgap narrowing due to exchange-correlation effects, using GW approximation and numerical analysis to explore plasma density, temperature, and confinement width impacts.

Contribution

It introduces a detailed computational approach to quantify bandgap renormalization in quantum wires considering different geometries and external potentials.

Findings

Bandgap narrowing depends on wire width and plasma density.

Confinement potential significantly affects the bandgap.

Temperature influences the extent of bandgap renormalization.

Abstract

In this paper we consider two different geometry of quasi one-dimensional semiconductors and calculate their exchange-correlation induced bandgap renormalization (BGR) as a function of the electron-hole plasma density and quantum wire width. Based on different fabrication scheme, we define suitable external confinement potential and then leading-order GW dynamical screening approximation is used in the calculation by treating electron-electron Coulomb interaction and electron-optical phonon interaction. Using a numerical scheme, screened Coulomb potential, probability of different states, profile of charge density and the values of the renormalized gap energy are calculated and the effects of variation of confinement potential width and temperature are studied.