The quantum Hall ferromagnet at high filling factors: A magnetic field induced Stoner transition

Abstract

Spin splitting in the integer quantum Hall effect is investigated for a series of Al${}_x$Ga${}_{1-x}$As/GaAs heterojunctions and quantum wells. Magnetoresistance measurements are performed at mK temperature to characterize the electronic density of states and estimate the strength of many body interactions. A simple model with no free parameters correctly predicts the magnetic field required to observe spin splitting confirming that the appearance of spin splitting is a result of a competition between the disorder induced energy cost of flipping spins and the exchange energy gain associated with the polarized state. In this model, the single particle Zeeman energy plays no role, so that the appearance of this quantum Hall ferromagnet in the highest occupied Landau level can also be thought of as a magnetic field induced Stoner transition.

References in corpus (11)

• Metallic behavior and related phenomena in two dimensions
• Correlation energy and spin polarization in the 2D electron gas
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Magnetoresistance of a two-dimensional electron gas in a parallel magnetic field
• Pseudospin Anisotropy Classification of Quantum Hall Ferromagnets
• Two - Dimensional Electron Liquid in a Weak Magnetic Field
• 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
• Termination of the spin-resolved integer quantum Hall effect

Cited by in corpus (17)

• Quantum Hall Ferromagnetism in Graphene
• Quantum Hall Effect in Ultrahigh Mobility Two-dimensional Hole Gas of Black Phosphorus
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
• Large modulation of the Shubnikov-de Haas oscillations by the Rashba interaction at the LaAlO${}_3$/SrTiO${}_3$ interface
• Probing Landau levels of strongly interacting massive Dirac electrons in layer-polarized MoS${}_2$
• Quantum Transport in Ambipolar Few-layer Black Phosphorus
• Shubnikov-de Haas oscillations in GaAs quantum wells in tilted magnetic fields
• Nonlinear magnetic field dependence of spin polarization in high density two-dimensional electron systems
• Probing semiclassical magneto-oscillations in the low-field quantum Hall effect
• Magneto-resistance quantum oscillations in a magnetic two-dimensional electron gas
• Influence of the single-particle Zeeman energy on the quantum Hall ferromagnet at high filling factors
• Disorder-induced stabilization of the quantum Hall ferromagnet
• A microscopic model for the magnetic field driven breakdown of the dissipationless state in the integer and fractional quantum Hall effect
• Giant Shubnikov-de Haas Oscillations with V-Shaped Minima in a High-Mobility Two-Dimensional Electron Gas: Experiment and Phenomenological Model
• Magnetic-field-induced Stoner transition in a dilute quantum Hall system
• Wide Electrical Tunability of the Valley Splitting in a Doubly gated Silicon-on-Insulator Quantum Well