Out-of-plane dielectric susceptibility of graphene in twistronic and Bernal bilayers

Abstract

We describe how the out-of-plane dielectric polarizability of monolayer graphene influences the electrostatics of bilayer graphene -- both Bernal (BLG) and twisted (tBLG). We compare the polarizability value computed using density functional theory with the output from previously published experimental data on the electrostatically controlled interlayer asymmetry potential in BLG and data on the on-layer density distribution in tBLG. We show that monolayers in tBLG are described well by polarizability $α_{exp} = 10.8 \unicode{x212B}^3$ and effective out-of-plane dielectric susceptibility ${\epsilon }_z=2.5$, including their on-layer electron density distribution at zero magnetic field and the inter-layer Landau level pinning at quantizing magnetic fields.

arXiv comment4 pages

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• Mixing of surface and bulk electronic states at a graphite-hexagonal boron nitride interface
• Control of Giant Topological Magnetic Moment and Valley Splitting in Trilayer Graphene
• Scattering between minivalleys in a moiré material
• ARPES signatures of few-layer twistronic graphenes
• Band Gap Opening in Bilayer Graphene-CrCl${}_3$/CrBr${}_3$/CrI${}_3$ van der Waals Interfaces
• Growth and applications of two-dimensional single crystals
• Parallel transport and layer-resolved thermodynamic measurements in twisted bilayer graphene
• Interlayer electron-hole friction in tunable twisted bilayer graphene semimetal
• Scaleability of dielectric susceptibility ${\epsilon }_{zz}$ with the number of layers and additivity of ferroelectric polarization in van der Waals semiconductors
• Conductivity of two-dimensional small gap semiconductors and topological insulators in strong Coulomb disorder
• Moiré-Induced Transport in CVD-Based Small-Angle Twisted Bilayer Graphene
• Umklapp electron-electron scattering in bilayer graphene moiré superlattice
• Electric Polarization from Many-Body Neural Network Ansatz
• Built-in Bernal gap in large-angle-twisted monolayer-bilayer graphene
• Non-chiral one-dimensional states propagating inside AB/BA domain walls in bilayer graphene
• Electric field tunable spin-orbit gap in a bilayer graphene/WSe${}_2$ quantum dot
• Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
• Weak localization as probe of spin-orbit-induced spin-split bands in bilayer graphene proximity coupled to WSe${}_2$
• Electronic and Spin-Orbit Properties of hBN Encapsulated Bilayer Graphene
• Impact of the angular alignment on the crystal field and intrinsic doping of bilayer graphene/BN heterostructures
• Electronic Reconstruction at the Quasicrystal-Moiré Crossover in Twisted Bilayer Graphene