Dynamical screening in bilayer graphene
O. V. Gamayun

TL;DR
This paper calculates the 1-loop polarization in bilayer graphene across various energies, revealing how it simplifies to known models at limits and analyzing static screening and plasmon modes.
Contribution
It provides a comprehensive polarization function for bilayer graphene at arbitrary energies, extending previous models and analyzing key screening phenomena.
Findings
Polarization reduces to 2-band approximation at low energy
Polarization matches single-layer graphene at high energy
Static screening and plasmon modes are characterized
Abstract
We calculate 1-loop polarization in bilayer graphene in the 4-band approximation for arbitrary values of frequency, momentum and doping. At low and high energy our result reduces to the polarization functions calculated in the 2-band approximation and in the case of single-layer graphehe, respectively.The special cases of static screening and plasmon modes are analyzed.
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