1204.5765 (D. S. L. Abergel et al.)

Inhomogeneity and nonlinear screening in gapped bilayer graphene    [PDF]

D. S. L. Abergel, E. Rossi, S. Das Sarma

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.

View original: http://arxiv.org/abs/1204.5765