Screening in gated bilayer graphene via variational calculus

Abstract

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.

4 pages, 1 figure

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Cited by in corpus (8)

• The electronic properties of bilayer graphene
• Theory of the plasma-wave photoresponse of a gated graphene sheet
• Electronic properties of monolayer and bilayer graphene
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• One-dimensional plasmons confined in bilayer graphene p-n junctions
• Tunable spin-orbit splitting in bilayer graphene/WSe${}_2$ quantum devices
• Phase coherent transport in bilayer and trilayer MoS2
• Microscopic theory of plasmon-enabled resonant terahertz detection in bilayer graphene