Inhomogeneity and nonlinear screening in gapped bilayer graphene

Abstract

We demonstrate that for gapped bilayer graphene, the nonlinear nature of the screening of an external disorder potential and the resulting inhomogeneity of the electron liquid are crucial for describing the electronic compressibility. In particular, traditional diagrammatic methods of many-body theory do not include this inhomogeneity and therefore fail to reproduce experimental data accurately, particularly at low carrier densities. In contrast, a direct calculation of the charge landscape via a numerical Thomas-Fermi energy functional method along with the appropriate bulk averaging procedure captures all the essential physics, including the interplay between the band gap and the inhomogeneity.

7 pages, 5 figures. Please note, the visual quality of Fig. 3 has been reduced to accommodate arXiv's total size requirement for submissions. Full quality figures are available in the published version

References in corpus (11)

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• Compressibility of bilayer graphene
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• Effect of disorder on the ground-state properties of graphene