Coulomb Gaps in a Strong Magnetic Field, S.-R

TL;DR

This paper investigates how electron-electron interactions and disorder in a strong magnetic field lead to the formation of Coulomb gaps in the tunneling density-of-states of a disordered two-dimensional electron gas, using self-consistent Hartree-Fock calculations.

Contribution

It provides a theoretical analysis of Coulomb gap formation in a disordered 2D electron system under strong magnetic fields, highlighting the role of interactions and disorder.

Findings

Evidence for a pseudo-gap at the Fermi energy

Density-of-states vanishes at the Fermi level

Supports Coulomb gap theory in quantum Hall systems

Abstract

We report on a study of interaction effects in the tunneling density-of-states of a disordered two-dimensional electron gas in the strong magnetic field limit where only the lowest Landau level is occupied. Interactions in the presence of disorder are accounted for by performing finite-size self-consistent Hartree-Fock calculations. We find evidence for the formation of a pseudo-gap with a tunneling density-of-states which vanishes at the Fermi energy.