Spin polarization and effective mass: a numerical study in disordered two dimensional systems

TL;DR

This paper numerically investigates how electron-electron interactions influence spin polarization and effective mass in disordered two-dimensional systems, highlighting the roles of electron density and filling in magnetic susceptibility enhancements.

Contribution

It provides a detailed numerical analysis of the effects of electron density and filling on magnetization, emphasizing the distinct roles of effective mass and g-factor in susceptibility enhancement.

Findings

Magnetic susceptibility increases at lower electronic densities.

Mass enhancement dominates at commensurate fillings.

g-factor enhancement is significant at non-commensurate fillings.

Abstract

We numerically study the magnetization of small metallic clusters. The magnetic susceptibility is enhanced for lower electronic densities due to the stronger influence of electron-electron interactions. The magnetic susceptibility enhancement stems mainly from an enhancement of the mass for commensurate fillings, while for non-commensurate fillings its a result of an enhancement of the Land\'e $g$ factor. The relevance to recent experimental measurements is discussed.