Density profile of a hole at the fractional Hall edge

The density profile of a hole excitation is investigated when it is located at the edge of the fractional quantum Hall state at filling factor 1/3. Of interest is the issue how the hole profile decays at long distances, both along the edge and into the bulk. We find that the hole is exponentially localized in both directions. Its localization length along the edge depends on the range of the interelectron interaction, increasing roughly by a factor of two in going from a short-range interaction to the long-range Coulomb interaction.