Effects of doping and bias voltage on the screening in AAA-stacked trilayer graphene

Abstract

We calculate the static polarization of AAA-stacked trilayer graphene (TLG) and study its screening properties within the random phase approximation (RPA) in all undoped, doped and biased regimes. We find that the static polarization of undoped AAA-stacked TLG is a combination of the doped and undoped single layer graphene static polarization. This leads to an enhancement of the dielectric background constant along a Thomas-Fermi screening with the Thomas-Fermi wave vector which is independent of carrier concentrations and a 1/r^3 power law decay for the long-distance behavior of the screened coulomb potential. We show that effects of a bias voltage can be taken into account by a renormalization of the interlayer hopping energy to a new bias-voltage-dependent value, indicating screening properties of biased AAA-stacked TLG can be tuned electrically. We also find that screening properties of doped AAA-stacked TLG, when $\mu$ exceeds $\sqrt{2}\gamma$, are similar to that of doped SLG only depending on doping. While for $\mu <\sqrt{2}\gamma$, its screening properties are a combination of SLG and AA-stacked screening properties and they are determined by doping and the interlayer hopping energy.

arXiv comment19 pages, 1 figure

References in corpus (25)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Colloquium: The transport properties of graphene: An introduction
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Electronic properties of bilayer and multilayer graphene
• Interlayer screening effect in graphene multilayers with ABA and ABC stacking
• Magneto-optical properties of multilayer graphenes
• Valley-Hall Kink and Edge States in Multilayer Graphene
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Nonlinear screening of charge impurities in graphene
• Dynamical conductivity of AA-stacked bilayer graphene
• Bending modes, anharmonic effects and thermal expansion coefficient in single layer and multilayer graphene
• Stacking Sequence Dependence of Graphene Layers on SiC(000-1) - Experimental and Theoretical Investigation
• Dynamical screening in bilayer graphene
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Anomalous integer quantum Hall effect in AA-stacked bilayer graphene
• Gapped phase in AA stacked bilayer graphene
• Screening and collective modes in gapped bilayer graphene
• Polarizability and Screening in Chiral Multilayer Graphene
• Gate driven adiabatic quantum pumping in graphene
• Screening in multilayer graphene
• Magnetism of an adatom on biased AA-stacked bilayer graphene
• Superconducting current and proximity effect in ABA and ABC multilayer graphene Josephson junctions

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• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Integer quantum Hall effect in AAA-stacked trilayer graphene
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Transport properties in ABC-ABA-ABC trilayer graphene junctions