Spatial structure of an incompressible Quantum Hall strip

Abstract

The incompressible Quantum Hall strip is sensitive to charging of localized states in the cyclotron gap. We study the effect of localized states by a density functional approach and find electron density and the strip width as a function of the density of states in the gap. Another important effect is electron exchange. By using a model density functional which accounts for negative compressibility of the QH state, we find electron density around the strip. At large exchange, the density profile becomes nonmonotonic, indicating formation of a 1D Wigner crystal at the strip edge. Both effects, localized states and exchange, lead to a substantial increase of the strip width.

6 LaTeX pages, 2 postscript figures, to be published in EP2DS proceedings

References in corpus (2)

• Subsurface charge accumulation imaging of a quantum Hall liquid
• Scanned Potential Microscopy of Edge and Bulk Currents in the Quantum Hall Regime

Cited by in corpus (4)

• Imaging of Low Compressibility Strips in the Quantum Hall Liquid
• Modeling Subsurface Charge Accumulation Images of a Quantum Hall Liquid
• Spectral Properties and Local Density of States of Disordered Quantum Hall Systems with Rashba Spin-Orbit Coupling
• Exchange-correlation enhancement of the Lande-g* factor in integer quantized Hall plateaus