ENSEMBLE DENSITY-FUNCTIONAL THEORY OF THE FRACTIONAL QUANTUM HALL-EFFECT

We develop an ensemble density functional theory for the fractional qu antum Hall effect using a local density approximation. Model calculati ons for edge reconstructions of a spin-polarized quantum dot give resu lts in good agreement with semiclassical and Hartree-Fock calculations , and with small system numerical diagonalizations. This establishes t he usefulness of density functional theory to study the fractional qua ntum Hall effect, which opens up the possibility of studying inhomogen eous systems with many more electrons than has heretofore been possibl e.