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.
|Physical Review B - Condensed Matter and Materials Physics
|Published - 1998
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics