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

TL;DR

This paper investigates how electron-electron interactions and disorder affect the compressibility and localization properties of a two-dimensional electron system in the Integer Quantum Hall regime, using numerical Hartree-Fock calculations.

Contribution

It provides new numerical insights into the interplay of interactions and disorder in the IQHE, highlighting localization transitions and Coulomb blockade effects near integer fillings.

Findings

Localization-delocalization transitions at half-integer fillings

Highly compressible regions in the energy spectrum

Coulomb blockade effects near integer fillings

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.