Charge screening and carrier transport in AA-stacked bilayer graphene: Tuning via a perpendicular electric field

•We calculate analytically the static polarization in AA-stacked bilayer graphene subjected to a perpendicular electric field.•We show that the screened Coulomb interaction in AA-stacked bilayer graphene is suppressed electrically.•We calculate the electrical conductivity by making use of the semiclassical Boltzmann equation.•We find that the electrical conductivity increases linearly in square of the perpendicular electric field.

The static dielectric function in AA-stacked bilayer graphene (BLG), subjected to an electric field applied perpendicular to layers, is calculated analytically within the random phase approximation (RPA). This result is used to calculate the screened Coulomb interaction and the electrical conductivity. The screened Coulomb interaction, which here can be tuned by the perpendicular electric field, shows a power-law decay as 1/(γ2+V2)1/(γ2+V2) at long-distance limit where V and γ are the electrical potential and the inter-layer hopping energy respectively, indicating that the Coulomb interaction is suppressed at high perpendicular electric fields. Furthermore, our results for the effect of the short-range and the long-range (Coulomb) scattering on the electrical conductivity show that the short-range scattering yields a constant electrical conductivity which is not affected by the perpendicular electric filed. While the electrical conductivity limited by the Coulomb scattering is enhanced by the perpendicular electric field and increases linearly in V2 at small V with a finite value at V=0, indicating that we can tune the electrical conductivity in AA-stacked BLG by applying a perpendicular electric field.