Inhomogeneity and nonlinear screening in gapped bilayer graphene

Details Inhomogeneity and nonlinear screening in gapped bilayer graphene Inhomogeneity and nonlinear screening in gapped bilayer graphene

2012-04-25

arxiv.org/abs/1204.5765v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, three figures

Scientific paper

We demonstrate that for gapped bilayer graphene, the nonlinear nature of the screening of the external disorder potential and the resulting inhomogeneity of the electron liquid are crucial for describing the electronic compressibility. In particular, 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. In contrast, 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.

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