Hartree-Fock Interactions in the Integer Quantum Hall Effect

Abstract

We report on numerical studies into the interplay of disorder and electron-electron interactions within the integer quantum Hall regime, where the presence of a strong magnetic field and two-dimensional confinement of the electronic system profoundly affects thermodynamic and transport properties. We emphasise the behaviour of the electronic compressibility, the local density of states, and the Kubo conductivity. Our treatment of the electron-electron interactions relies on the Hartree-Fock approximation so as to achieve system sizes comparable to experimental situations. Our results clearly exhibit manifestations of various interaction-mediated features, such as non-linear screening, local charging, and g-factor enhancement, implying the inadequacy of independent-particle models for comparison with experimental results.

13 Wiley-VCH LaTeX pages with 8 figures, style files included

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Cited by in corpus (4)

• Unraveling quantum Hall breakdown in bilayer graphene with scanning gate microscopy
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Quantum wires in magnetic field: A comparative study of the Hartree-Fock and the spin density functional approaches
• Microscopic Details of the Integer Quantum Hall Effect in an Anti-Hall Bar