Quantum capacitive coupling between large-angle twisted graphene layers

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Abstract

Large-angle twisted bilayer graphene (tBLG) is known to be electronically decoupled due to the spatial separation of the Dirac cones corresponding to individual graphene layers in the reciprocal space. This mechanism also leads to the decoupling in multilayer graphene systems including twisted double bilayer graphene, which are just a small subset of a broad class of systems consisting of ...

Abstract

Large-angle twisted bilayer graphene (tBLG) is known to be electronically decoupled due to the spatial separation of the Dirac cones corresponding to individual graphene layers in the reciprocal space. This mechanism also leads to the decoupling in multilayer graphene systems including twisted double bilayer graphene, which are just a small subset of a broad class of systems consisting of graphene layers and other materials, decoupled by the twist or separated by dielectrics. For the former, the close spacing between the layers causes strong capacitive coupling, opening possibilities for new applications in atomically thin devices. Here, we present a self-consistent quantum capacitance model for the electrostatics of decoupled graphene layers, and further generalize it to deal with decoupled tBLG at finite magnetic field and large-angle twisted double bilayer graphene at zero magnetic field. We probe the capacitive coupling through the conductance, showing good agreement between simulations and experiments for all these systems considered. Our model can be extended to systems composed of decoupled graphene multilayers as well as non-graphene systems, opening a new realm of quantum-capacitively coupled materials.