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.
@article{arxiv.cond-mat/9908187,
title = {Spatial structure of an incompressible Quantum Hall strip},
author = {Ivan A. Larkin and L. S. Levitov},
journal= {arXiv preprint arXiv:cond-mat/9908187},
year = {2008}
}
Comments
6 LaTeX pages, 2 postscript figures, to be published in EP2DS proceedings