Solitons on the edge of a two-dimensional electron system

Details Solitons on the edge of a two-dimensional electron system Solitons on the edge of a two-dimensional electron system

1998-10-01

arxiv.org/abs/cond-mat/9810015v2

Phys. Rev. Lett. 82, 620 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 eps figures (included); to appear in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.82.620

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.

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