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Solitons on the edge of a two-dimensional electron system

C. Wexler·Alan T. Dorsey
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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.

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C. Wexler, Alan T. Dorsey. 1998-12-14. Solitons on the edge of a two-dimensional electron system. https://doi.org/10.1103/physrevlett.82.620

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