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.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - 1998 May 15|
ASJC Scopus subject areas
- Condensed Matter Physics