Edge of a half-filled Landau level

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11 Citations (Scopus)


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
Issue number20
Publication statusPublished - 1998

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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