Theory of carrier density in multigated doped graphene sheets with quantum correction

Abstract

The quantum capacitance model is applied to obtain an exact solution for the space-resolved carrier density in a multigated doped graphene sheet at zero temperature, with quantum correction arising from the finite electron capacity of the graphene itself taken into account. The exact solution is demonstrated to be equivalent to the self-consistent Poisson-Dirac iteration method by showing an illustrative example, where multiple gates with irregular shapes and a nonuniform dopant concentration are considered. The solution therefore provides a fast and accurate way to compute spatially varying carrier density, on-site electric potential energy, as well as quantum capacitance for bulk graphene, allowing for any kind of gating geometry with any number of gates and any types of intrinsic doping.

4 pages, 3 figures

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Cited by in corpus (19)

• Ballistic interferences in suspended graphene
• Scalable Tight-Binding Model for Graphene
• Terahertz ratchet effects in graphene with a lateral superlattice
• Electrical 2π phase control of infrared light in a 350nm footprint using graphene plasmons
• Probing Spin Helical Surface States in Topological HgTe Nanowires
• The Electronic Thickness of Graphene
• Tuning anti-Klein to Klein tunneling in bilayer graphene
• Gate-tunable two-dimensional superlattices in graphene
• Commensurability Oscillations in One-Dimensional Graphene Superlattices
• Contact doping, Klein tunneling, and asymmetry of shot noise in suspended graphene
• Towards superlattices: Lateral bipolar multibarriers in graphene
• Co-existence of classical snake states and Aharanov-Bohm oscillations along graphene p-n junctions
• Low Magnetic Field Regime of a Gate-Defined Constriction in High-Mobility Graphene
• Quantum capacitive coupling between large-angle twisted graphene layers
• Spin and charge transport in graphene-based spin transport devices with Co/MgO spin injection and spin detection electrodes
• Periodically Gated Bilayer Graphene as an Electronic Metamaterial
• Designing Band Structures by Patterned Dielectric Superlattices
• Manipulating electron waves in graphene using carbon nanotube gating
• Gate-induced carrier density modulation in bulk graphene: Theories and electrostatic simulation using Matlab pdetool