Finite size effects in the magnetization of periodic mesoscopic systems

TL;DR

This paper investigates how the size of a confined two-dimensional electron gas affects its orbital magnetization, comparing finite systems with the thermodynamic limit while including electron interactions via Hartree approximation.

Contribution

It provides a systematic analysis of finite size effects on magnetization in mesoscopic systems, bridging finite and infinite system behaviors.

Findings

Finite size significantly influences magnetization in mesoscopic systems.

Electron-electron interactions are included in the analysis.

Results highlight differences between finite and infinite system magnetizations.

Abstract

We calculate the orbital magnetization of a confined 2DEG as a function of the number of electrons in the system. Size effects are investigated by systematically increasing the area of the confining region. The results for the finite system are compared to an infinite one, where the magnetization is calculated in the thermodynamic limit. In all calculations the electron-electron interaction is included in the Hartree approximation.