2010/09/10 by Constantine Yannouleas, Igor Romanovsky, Uzi Landman
Materials Science · Physics and Astronomy · #Atomic orbital #Condensed matter physics #Coulomb #Dirac (video compression format) #Electron #Fractional quantum Hall effect #Geometry #Graphene #Graphene research and applications #Landau quantization #Magnetic field #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Surface and Thin Film Phenomena #Zigzag #cond-mat.mes-hall #cond-mat.str-el #nucl-th #physics.atom-ph
paper · pdf · doi:10.1103/physrevb.82.125419
published as Phys.Rev.B82:125419,2010 · 8 pages with 7 figures. REVTEX4. For related publications, see http://www.prism.gatech.edu/~ph274cy
openalex publication_date 2010/09/10 · arxiv created 2010/09/13 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 (\ensuremathν=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.