M. Ferconi et al., EDGE STRUCTURE OF FRACTIONAL QUANTUM HALL SYSTEMS FROM DENSITY-FUNCTIONAL THEORY, Physical review. B, Condensed matter, 52(23), 1995, pp. 16357-16360
We use the Hohenberg-Kohn formulation of density functional theory (DF
T) to study the density profile at the edge of a confined two-dimensio
nal electron gas in the fractional quantum Hall regime. The strong cor
relation effects present in this system are accounted for in our DFT a
pproach and lead to the appearance of incompressible strips at fractio
nal filling factors for smooth confining potentials.