Electronic structure of a wide quantum wire in a magnetic field at $\nu = 1$

TL;DR

This paper uses density functional theory to analyze the electronic structure of a wide quantum wire in a magnetic field, revealing a critical density for inhomogeneity and assessing disorder effects on electron density profiles.

Contribution

It introduces a detailed analysis of electron density behavior in quantum wires under magnetic fields, highlighting the critical density and disorder effects.

Findings

Identification of a critical density for inhomogeneity

Effect of disorder potential on electron density profiles

Spatial inhomogeneity at low electron densities

Abstract

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. In a GaAs quantum wire, a critical density has been found, below which the electron density has a strong spatial inhomogeneity. The effect of the disorder potential on the electron density profile in a two-dimensional electron gas is estimated.