1999/08/12 by Ivan A. Larkin, Ivan A Larkin, L. S. Levitov +1
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Mechanical and Optical Resonators #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1016/s1386-9477(99)00058-2
published as Physica E 6 (1-4), 91-94 (2000) · 6 LaTeX pages, 2 postscript figures, to be published in EP2DS proceedings
arxiv created 1999/08/12 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.