Effect of disorder on the ground-state properties of graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Extended introduction and discussion. To appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.77.125432

We calculate the ground-state energy of Dirac electrons in graphene in the presence of disorder. We take randomly distributed charged impurities at a fixed distance from the graphene sheet and surface fluctuations (ripples) as the main scattering mechanisms. Mode-coupling approach to scattering rate and random-phase approximation for ground-state energy incorporating the many-body interactions and the disorder effects yields good agreement with experimental inverse compressibility.

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