We have investigated the electron occupation number of the edge of a quantum Hall (QH) droplet at ν=1/2 using exact diagonalization technique and composite fermion trial wavefunction. 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.
@article{arxiv.cond-mat/9803328,
title = {Edge of a Half-Filled Landau Level},
author = {S. -R. Eric Yang and J. H. Han},
journal= {arXiv preprint arXiv:cond-mat/9803328},
year = {2009}
}