Density-Functional Theory of Graphene Sheets

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dc.creatorPolini, Marco
dc.creatorTomadin, Andrea
dc.creatorAsgari, Reza
dc.creatorMacDonald, A. H.
dc.date2008-03-28
dc.date.accessioned2026-07-07T10:04:11Z
dc.date.available2026-07-07T10:04:11Z
dc.descriptionWe outline a Kohn-Sham-Dirac density-functional-theory (DFT) scheme for graphene sheets that treats slowly-varying inhomogeneous external potentials and electron-electron interactions on an equal footing. The theory is able to account for the the unusual property that the exchange-correlation contribution to chemical potential increases with carrier density in graphene. Consequences of this property, and advantages and disadvantages of using the DFT approach to describe it, are discussed. The approach is illustrated by solving the Kohn-Sham-Dirac equations self-consistently for a model random potential describing charged point-like impurities located close to the graphene plane. The influence of electron-electron interactions on these non-linear screening calculations is discussed at length, in the light of recent experiments reporting evidence for the presence of electron-hole puddles in nearly-neutral graphene sheets.
dc.description11 pages, 9 figures, submitted. High-quality figures can be requested to the authors
dc.identifierhttps://arxiv.org/abs/0803.4150
dc.identifierhttp://arxiv.org/abs/0803.4150
dc.identifierPhys. Rev. B 78, 115426 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.115426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169572
dc.subjectStrongly Correlated Electrons
dc.titleDensity-Functional Theory of Graphene Sheets
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