Edge of a half-filled Landau level

Sung Ryul Yang, J. H. Han

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at ν = 1/2 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
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume57
Issue number20
Publication statusPublished - 1998 May 15

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Fermions
occupation
Electrons
Composite materials
Wave functions
fermions
scaling
composite materials
electrons
wave functions
radii

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Edge of a half-filled Landau level. / Yang, Sung Ryul; Han, J. H.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 57, No. 20, 15.05.1998.

Research output: Contribution to journalArticle

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