Analytic model of effective screened Coulomb interactions in a multilayer system

TL;DR

This paper develops an analytical model for screened Coulomb interactions in layered semiconductor systems, accounting for dielectric mismatch effects, to aid in understanding exciton and electron interactions in nanostructures.

Contribution

It introduces a new analytically tractable model for electron-electron and electron-exciton interactions in multilayer quantum well systems considering dielectric mismatch effects.

Findings

Analytic expressions for screened interactions are derived.

Model results are compared with existing models showing consistency.

The approach facilitates understanding of interactions in layered nanostructures.

Abstract

The main objective of the present work is the development of an analytically tractable model of screened electron-electron and electron-exciton interactions in layered systems composed of two parallel semiconductor quantum wells separated by a dielectric layer. These systems are promising for superconductivity with excitons-polaritons, and spin manipulation. Polarization effects induced by the dielectric mismatch in the nanostructure are taken into account using the image charge method. The obtained analytic expressions are used to calculate screened electron-electron and electron-exciton interactions; these are compared to results computed using other recently published models.