### 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 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

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

*57*(20).

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

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 57, no. 20.

}

TY - JOUR

T1 - Edge of a half-filled Landau level

AU - Yang, Sung Ryul

AU - Han, J. H.

PY - 1998/5/15

Y1 - 1998/5/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001092871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001092871&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001092871

VL - 57

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 20

ER -