Hartree-Fock Interactions in the Integer Quantum Hall Effect

TL;DR

This paper uses Hartree-Fock numerical simulations to explore how electron-electron interactions influence the properties of the integer quantum Hall effect, revealing interaction-driven phenomena that challenge independent-particle models.

Contribution

It provides the first large-scale Hartree-Fock numerical analysis of interactions in the integer quantum Hall regime, highlighting non-linear screening and local charging effects.

Findings

Observation of non-linear screening effects

Detection of local charging phenomena

Evidence of g-factor enhancement

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.