Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-02-05
Phys. Rev. B 81, 125437 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 13 figures, submitted. High-quality figures can be requested to the authors
Scientific paper
10.1103/PhysRevB.81.125437
Single-layer graphene sheets are typically characterized by long-wavelength corrugations (ripples) which can be shown to be at the origin of rather strong potentials with both scalar and vector components. We present an extensive microscopic study, based on a self-consistent Kohn-Sham-Dirac density-functional method, of the carrier density distribution in the presence of these ripple-induced external fields. We find that spatial density fluctuations are essentially controlled by the scalar component, especially in nearly-neutral graphene sheets, and that in-plane atomic displacements are as important as out-of-plane ones. The latter fact is at the origin of a complicated spatial distribution of electron-hole puddles which has no evident correlation with the out-of-plane topographic corrugations. In the range of parameters we have explored, exchange and correlation contributions to the Kohn-Sham potential seem to play a minor role.
Fasolino Annalisa
Gibertini Marco
Katsnelson Mikhail I.
Polini Marco
Tomadin Andrea
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