Electronic Structure of gated graphene and graphene ribbons

Abstract

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are computed self-consistently in the Hartree approximation. We compute the average density of extra carriers, $n_{2D}$, the number of occupied subbands and the density profiles as a function of the gate potential $V_g$. We discuss quantum corrections to the classical capacitance and we calculate the threshold $V_g$ above which semiconducting armchair ribbons conduct. We find that the ideal conductance of perfectly transmitting wide ribbons is proportional to the square root of the gate voltage.

8 pages, 6 figures

References in corpus (11)

• Electric Field Effect in Atomically Thin Carbon Films
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Half-Metallic Graphene Nanoribbons
• Electronic States of Graphene Nanoribbons
• Bipolar supercurrent in graphene
• Strong suppression of weak (anti)localization in graphene
• Quantum-limited shot noise in graphene
• Peculiar Width Dependence of the Electronic Property of Carbon Nanoribbons
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Coherent transport in graphene nanoconstrictions

Cited by in corpus (20)

• Vacancy induced magnetism in graphene and graphene ribbons
• Energy gaps in etched graphene nanoribbons
• Quantum conductance of graphene nanoribbons with edge defects
• Conductance Quantization in Graphene Nanoribbons
• Graphene quantum dots: Beyond a Dirac billiard
• Hidden multiferroic order in graphene zigzag ribbons
• Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach
• Raman spectroscopy on etched graphene nanoribbons
• Dirac electrons in graphene-based quantum wires and quantum dots
• Interfaces Within Graphene Nanoribbons
• Theory of carrier density in multigated doped graphene sheets with quantum correction
• Weak momentum scattering and the conductivity of graphene
• Low-bias Negative Differential Resistance effect in armchair graphene nanoribbon junctions
• Electrochemically-gated Graphene Broadband Microwave Waveguides for Ultrasensitive Biosensing
• Charge carrier density noise in graphene: effect of localized/delocalized traps
• Second spectrum of charge carrier density fluctuations in graphene due to trapping/detrapping processes
• Gate electrostatics and quantum capacitance in ballistic graphene devices
• Topological Superfluid Responses of Superconducting Dirac Semimetals
• Fabry-Perot and Aharonov-Bohm interference in ideal graphene nanoribbons
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects