Screened potential of a point charge in a thin film

TL;DR

This paper calculates the electrostatic potential of a point charge in a thin semiconducting film, considering the effects of screening and quantum confinement due to the film's sub-wavelength thickness.

Contribution

It provides a theoretical analysis of the potential in ultra-thin films, incorporating screening effects that are often neglected in classical models.

Findings

Potential significantly affected by screening in thin films

Quantum confinement alters charge interactions

Results applicable to nanoscale semiconductor devices

Abstract

The potential of a point charge in a thin semiconducting film with the thickness below the de Broglie wavelength of the free charge carriers is calculated with and without the screening.