Magnetic-field-induced Stoner transition in a dilute quantum Hall system

TL;DR

This paper demonstrates that the magnetic-field-induced Stoner transition model accurately describes spin splitting in dilute quantum Hall systems, offering insights into electron-electron interactions at low densities.

Contribution

It introduces a quantitative model of the Stoner transition to explain experimental spin splitting data in dilute 2D electron gases within the quantum Hall regime.

Findings

Model fits experimental data well

Reveals density dependence of electron interactions

Provides a new tool for probing dilute 2D systems

Abstract

In a recent paper [Phys.Rev.B.\textbf{84}, 161307 (2011)], experimental data on spin splitting in the integer quantum Hall effect has been reported in a high mobility dilute 2D electron gas with electron density as low as 0.2 $\times$ 10$^{11}$ cm $^{-2}$. In this work, we show that an excellent \emph{quantitative} description of these data can be obtained within the model of the magnetic-field-induced Stoner transition in the quantum Hall regime. This provides a powerful tool to probe the non-trivial density dependance of electron-electron interactions in the dilute regime of the 2D electron gas.