Effect of disorder on the ground-state properties of graphene
Vazifeh, M. M.
Ramezanali, M. R.
Physical Review B - Condensed Matter and Materials Physics
The American Physical Society
125432-1 - 125432-6
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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. A mode-coupling approach to the scattering rate and random-phase approximation for the ground-state energy incorporating the many-body interactions and the disorder effects yields good agreement with the experimental inverse compressibility.