### 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 language | English |
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Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 57 |

Issue number | 20 |

Publication status | Published - 1998 May 15 |

### ASJC Scopus subject areas

- Condensed Matter Physics

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## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*57*(20).