Screening in gated bilayer graphene via variational calculus

Details Screening in gated bilayer graphene via variational calculus Screening in gated bilayer graphene via variational calculus

2010-03-29

arxiv.org/abs/1003.5607v1

Phys. Rev. B 82, 197401 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevB.82.197401

We analyze the response of bilayer graphene to an external transverse electric field using a variational method. A previous attempt to do so in a recent paper by Falkovsky [Phys. Rev. B 80, 113413 (2009)] is shown to be flawed. Our calculation reaffirms the original results obtained by one of us [E. McCann, Phys. Rev. B 74, 161403(R) (2006)] by a different method. Finally, we generalize these original results to describe a dual-gated bilayer graphene device.

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