Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-09-13
Phys. Rev. B 82, 125419 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages with 7 figures. REVTEX4. For related publications, see http://www.prism.gatech.edu/~ph274cy
Scientific paper
10.1103/PhysRevB.82.125419
Many-body calculations of the total energy of interacting Dirac electrons in finite graphene samples exhibit joint occurrence of cusps at angular momenta corresponding to fractional fillings characteristic of formation of incompressible (gapped) correlated states (nu=1/3 in particular) and opening of an insulating energy gap (that increases with the magnetic field) at the Dirac point, in correspondence with experiments. Single-particle basis functions obeying the zigzag boundary condition at the sample edge are employed in exact diagonalization of the interelectron Coulomb interaction, showing, at all sizes, mixed equal-weight bulk and edge components. The consequent depletion of the bulk electron density attenuates the fractional-quantum-Hall-effect excitation energies and the edge charge accumulation results in a gap in the many-body spectrum.
Landman Uzi
Romanovsky Igor
Yannouleas Constantine
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