  We consider a system of a incompressible quantum Hall liquid in close
proximity to a parabolic quantum dot containing a few electrons. We observe a
significant influence of the interacting electrons in the dot on the excitation
spectrum of the incompressible state in the electron plane. Our calculated
charge density indicates that unlike in the case of an impurity, interacting
electrons in the dot seem to confine the fractionally charged excitations in
the incompressible liquid.

Mesoscale and Nanoscale Physics