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Many-body calculations of the total energy of interacting Dirac electrons infinite graphene samples exhibit joint occurrence of cusps at angular momentacorresponding to fractional fillings characteristic of formation ofincompressible (gapped) correlated states (nu=1/3 in particular) and opening ofan insulating energy gap (that increases with the magnetic field) at the Diracpoint, in correspondence with experiments. Single-particle basis functionsobeying the zigzag boundary condition at the sample edge are employed in exactdiagonalization of the interelectron Coulomb interaction, showing, at allsizes, mixed equal-weight bulk and edge components. The consequent depletion ofthe bulk electron density attenuates the fractional-quantum-Hall-effectexcitation energies and the edge charge accumulation results in a gap in themany-body spectrum.

physical review. b, condensed matter and materials physics

Edge and bulk components of lowest-Landau-level orbitals, correlated  fractional quantum Hall effect incompressible states, and insulating behavior  in finite graphene samples