Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
A.O. Sboychakov, A.L. Rakhmanov, A.V. Rozhkov, and Franco Nori

TL;DR
This paper studies how doping affects AA-stacked graphene bilayers, revealing a transition from antiferromagnetic insulator to metal with phase separation, and discusses potential electronic device applications.
Contribution
It introduces a mean field theory analysis of doping-induced phase transitions and phase separation in AA-stacked graphene bilayers.
Findings
Doped bilayers are antiferromagnetic insulators at half-filling.
Doping induces phase separation into insulator and metal regions.
High doping leads to a homogeneous metallic phase.
Abstract
We investigate the doping of AA-stacked graphene bilayers. Applying a mean field theory at zero temperature we find that, at half-filling, the bilayer is an antiferromagnetic insulator. Upon doping, the homogeneous phase becomes unstable with respect to phase separation. The separated phases are an undoped antiferromagnetic insulator and a metal with a non-zero concentration of charge carriers. At sufficiently high doping, the insulating areas shrink and disappear, and the system becomes a homogeneous metal. The conductivity changes drastically upon doping, so the bilayer may be used as a switch in electronic devices. The effects of finite temperature are also discussed.
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