Spatial structure of an incompressible Quantum Hall strip

Details Spatial structure of an incompressible Quantum Hall strip Spatial structure of an incompressible Quantum Hall strip

1999-08-12

arxiv.org/abs/cond-mat/9908187v1

Physica E 6 (1-4), 91-94 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1016/S1386-9477(99)00058-2

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.

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