Solitons on the edge of a two-dimensional electron system
Mesoscale and Nanoscale Physics
2009-10-31 v2 Pattern Formation and Solitons
patt-sol
Abstract
We present a study of the excitations of the edge of a two-dimensional electron droplet in a magnetic field in terms of a contour dynamics formalism. We find that, beyond the usual linear approximation, the non-linear analysis yields soliton solutions which correspond to uniformly rotating shapes. These modes are found from a perturbative treatment of a non-linear eigenvalue problem, and as solutions to a modified Korteweg-de Vries equation resulting from a local induction approximation to the nonlocal contour dynamics. We discuss applications to the edge modes in the quantum Hall effect.
Cite
@article{arxiv.cond-mat/9810015,
title = {Solitons on the edge of a two-dimensional electron system},
author = {C. Wexler and Alan T. Dorsey},
journal= {arXiv preprint arXiv:cond-mat/9810015},
year = {2009}
}
Comments
4 pages, 2 eps figures (included); to appear in Phys. Rev. Letters