Electron correlations and single-particle physics in the Integer Quantum Hall Effect

Abstract

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical results for the influences of interaction and disorder on the compressibility as a function of the particle density and the strength of the magnetic field are presented. Localization-delocalization transitions associated with highly compressible region in the energy spectrum are found at half-integer filling factors. Coulomb blockade effects are found near integer fillings in the regions of low compressibility. Results are compared with recent experiments.

4 pages, 2 figures, replaced with revised version

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• Compressibility stripes for mesoscopic quantum Hall samples
• Probing breakdown of topological protection: Filling-factor-dependent evolution of robust quantum Hall incompressible phases
• Hartree-Fock Interactions in the Integer Quantum Hall Effect
• Spectral weight transfer in a disorder-broadened Landau level