Screening in gated bilayer graphene via variational calculus
M. M. Fogler, E. McCann
TL;DR
This paper uses a variational approach to analyze how bilayer graphene responds to external electric fields, correcting previous flawed calculations and extending the results to dual-gated devices.
Contribution
It introduces a corrected variational method for bilayer graphene response and generalizes previous results to dual-gated configurations.
Findings
Confirmed original response results of bilayer graphene
Identified flaws in previous variational calculations
Extended analysis to dual-gated device configurations
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.
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