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

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.

References in corpus (6)

• Collapse of Spin-Splitting in the Quantum Hall Effect
• Critical Collapse of the Exchange Enhanced Spin Splitting in 2-D Systems
• Effects of thickness on the spin susceptibility of the 2D electron gas
• Density dependent spin susceptibility and effective mass in interacting quasi-two dimensional electron systems
• The quantum Hall ferromagnet at high filling factors: A magnetic field induced Stoner transition
• Influence of the single-particle Zeeman energy on the quantum Hall ferromagnet at high filling factors