Parametric Excitation of Edge Waves in the Quantum Hall Effect
نویسندگان
چکیده
منابع مشابه
Parametric Excitation of Edge Waves in the Quantum Hall Effect.
We consider the process of parametric excitation of gapless edge modes in a Hall bar by an alternating current. We find that such a process can be realized provided both an inter-edge interaction and a constant current are present in the bar. The expected experimental signatures of this phenomenon are discussed. PACS numbers: 73.40.Hm, 72.15.Nj Typeset using REVTEX 1 Parametric excitation of wa...
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Quantum Hall universality classes can be classified by W1+∞ symmetry. We show that this symmetry also governs the dynamics of quantum edge excitations. The Hamiltonian of interacting electrons in the fully-filled first Landau level is expressed in terms of W1+∞ generators. The spectra for both the Coulomb and generic short-range interactions are thus found algebraically. We prove the one-dimens...
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We present a theoretical study of the excitations on the edge of a two-dimensional electron system in a perpendicular magnetic field in terms of a contour dynamics formalism. In particular, we focus on edge excitations in the quantum Hall effect. Beyond the usual linear approximation, a nonlinear analysis of the shape deformations of an incompressible droplet yields soliton solutions which corr...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1996
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.77.719