Edge of a half-filled Landau level

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    11 Citations (Scopus)

    Abstract

    We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at (Formula presented) using exact-diagonalization techniques and composite-fermion trial wave functions. We find that the electron occupation numbers near the edge obey a scaling behavior. The scaling result indicates the existence of a well-defined edge corresponding to the radius of a compact droplet of uniform filling factor 1/2. We find that the occupation number beyond this edge point is substantial, which is qualitatively different from the case of odd-denominator QH states. We relate these features to the different ways in which composite fermions occupy Landau levels for odd and even denominator states.

    Original languageEnglish
    Pages (from-to)R12681-R12684
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume57
    Issue number20
    DOIs
    Publication statusPublished - 1998

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics

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