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      The Structure of Fractional Edge States: A Composite Fermion Approach

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          Abstract

          I study the structure of the two-dimensional electron gas edge in the quantum Hall regime using the composite fermion approach. The electron density distribution and the composite fermion energy spectrum are obtained numerically in Hartree approximation for bulk filling factors \(\nu=1,1/3,2/3,1/5\). For a very sharp edge of the \(\nu=1\) state the one-electron picture is valid. As the edge width \(a\) is increased the density distribution shows features related to the fractional states and new fractional channels appear in pairs. For a very smooth edge I find quasiclassically the number of channels \(p\sim\sqrt{a/l_H}\), where \(l_H\) is the magnetic length.

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          Fractional quantum Hall effect and Chern-Simons gauge theories

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            Jain and Kivelson Reply

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              Edge channels for the fractional quantum Hall effect.

              (1990)
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                Author and article information

                Journal
                1995-02-03
                Article
                10.1103/PhysRevB.51.9895
                cond-mat/9502014
                621bec94-e783-4b6c-8f5d-ccd3bf6591dd
                History
                Custom metadata
                HU-9501
                10 pages, RevTex, 6 uuencoded figures appended
                cond-mat

                Condensed matter
                Condensed matter

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