Capacitance of Graphene Bilayer as a Which-Layer Probe

Abstract

The unique capabilities of capacitance measurements in bilayer graphene enable probing of layer-specific properties that are normally out of reach in transport measurements. Furthermore, capacitance measurements in the top-gate and penetration field geometries are sensitive to different physical quantities: the penetration field capacitance probes the two layers equally, whereas the top gate capacitance preferentially samples the near layer, resulting in the "near-layer capacitance enhancement" effect observed in recent top-gate capacitance measurements. We present a detailed theoretical description of this effect and show that capacitance can be used to determine the equilibrium layer polarization, a potentially useful tool in the study of broken symmetry states in graphene.

Minor changes, references added

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Cited by in corpus (29)

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• Interlayer electric multipoles induced by in-plane field from quantum geometric origins
• Quantum Capacitance of Graphene Sheets and Nanoribbons
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• The compressibility of graphene
• Inhomogeneity and nonlinear screening in gapped bilayer graphene
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• Electric field tunable spin-orbit gap in a bilayer graphene/WSe${}_2$ quantum dot
• Weak localization as probe of spin-orbit-induced spin-split bands in bilayer graphene proximity coupled to WSe${}_2$
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• Orbital Longitudinal Magneto-electric Coupling in Multilayer Graphene