The effect of the Coulomb interaction on the mesoscopic persistent current

TL;DR

This study numerically investigates how the Coulomb interaction influences persistent currents in three-dimensional mesoscopic rings, revealing that long-range Coulomb forces enhance the current, with implications for understanding mesoscopic electron behavior.

Contribution

It demonstrates through numerical simulation that long-range Coulomb interactions increase persistent currents in 3D mesoscopic rings, using a self-consistent Hartree-Fock approach.

Findings

Coulomb interaction enhances persistent current in rings.

Long-range Coulomb forces are significant in mesoscopic systems.

Numerical models up to 6x6x20 sites were used.

Abstract

The persistent current in three-dimensional mesoscopic rings is investigated numerically. The model is tight-binding one with random site-energies and interaction between electrons. The self-consistent Hartree-Fock approximation is adopted for the interaction between electrons, and models with up to $6\times 6\times 20$ sites are investigated. It is shown that the long-range Coulomb interaction enhances the persistent current for rings with finite width. The origin of the enhancement is discussed.