Bulk versus edge in the quantum Hall effect
نویسندگان
چکیده
منابع مشابه
Edge and Bulk of the Fractional Quantum Hall Liquids.
An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that the currents do not flow outside the sample. With this boundary condition, the action remains gauge invariant and the edge modes are naturally derived. We find that the integer coupling matrix K should satisfy the cond...
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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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We present a microscopic description of edge excitations in the quantum Hall effect which is analogous to Feynman’s theory of superfluids. Analytic expressions for the excitation energies are derived in finite dots. Our predictions are in excellent agreement with the results of a recent numerical diagonalization. In the large N limit the dispersion law is proportional to qlog 1 q . For short ra...
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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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ژورنال
عنوان ژورنال: Physical Review B
سال: 1996
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.54.16903