# Effect of Coulomb interaction on chemical potential of metal film

## TL;DR

This paper investigates how Coulomb interactions influence the chemical potential of metal films, revealing a significant decrease and enhanced quantum size effects, using a jellium model with a rectangular potential well.

## Contribution

It introduces a model that accounts for Coulomb interactions in calculating the chemical potential of metal films, highlighting their impact on quantum size effects.

## Key findings

- Coulomb interaction decreases the chemical potential significantly.
- Quantum size effects are amplified when Coulomb interactions are considered.
- The surface potential is modeled as an infinite rectangular well.

## Abstract

The chemical potential of a metal film within the jellium model with taking into account the Coulomb interaction between electrons is calculated. The surface potential is modeled as the infinite rectangular potential well. The behavior of the chemical potential as a function of the film thickness is studied, the quantum size effect for this quantity is discovered. It is shown that taking into account the Coulomb interaction leads to a significant decrease of the chemical potential and to an enhancement of the quantum size effect.