Edge disorder induced Anderson localization and conduction gap in graphene nanoribbons

Abstract

We study the effect of the edge disorder on the conductance of the graphene nanoribbons (GNRs). We find that only very modest edge disorder is sufficient to induce the conduction energy gap in the otherwise metallic GNRs and to lift any difference in the conductance between nanoribbons of different edge geometry. We relate the formation of the conduction gap to the pronounced edge disorder induced Anderson-type localization which leads to the strongly enhanced density of states at the edges, formation of surface-like states and to blocking of conductive paths through the ribbons.

References in corpus (16)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Detection of Individual Gas Molecules Absorbed on Graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Graphene Nano-Ribbon Electronics
• Carrier transport in 2D graphene layers
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Observation of zigzag and armchair edges of graphite using scanning tunneling microscopy and spectroscopy
• Quantum conductance of graphene nanoribbons with edge defects
• Coulomb blockade in graphene nanoribbons
• Aharonov-Bohm effect in graphene
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Transport Length Scales in Disordered Graphene-based Materials: Strong Localization Regimes and Dimensionality Effects
• Transport regimes in surface disordered graphene sheets

Cited by in corpus (95)

• Carbon nanomaterials for electronics, optoelectronics, photovoltaics, and sensing
• Electron Transport in Disordered Graphene Nanoribbons
• Energy gaps in etched graphene nanoribbons
• Charge Transport in Disordered Graphene-Based Low Dimensional Materials
• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Conductance quantization and transport gap in disordered graphene nanoribbons
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• The recursive Green's function method for graphene
• Disorder-induced gap behavior in graphene nanoribbons
• Suppression of thermal conductivity in graphene nanoribbons with rough edges
• Graphene quantum dots: Beyond a Dirac billiard
• Quantum dots and spin qubits in graphene
• Disorder and Electronic Transport in Graphene
• Graphane Nanoribbons: A Theoretical Study
• Transport gap in side-gated graphene constrictions
• Graphene: Piecing it together
• Electrostatic confinement of electrons in graphene nano-ribbons
• Towards Chirality Control of Graphene Nanoribbons Embedded in Hexagonal Boron Nitride
• Magnetic moments in the presence of topological defects in graphene
• Chemically-induced Mobility Gaps in Graphene Nanoribbons: A Route for Upscaling Device Performances
• Effect of Spatial Charge Inhomogeneity on 1/f Noise Behavior in Graphene
• Magneto-transport through graphene nano-ribbons
• Imaging Localized States in Graphene Nanostructures
• Boundary problems for Dirac electrons and edge-assisted Raman scattering in graphene
• Room-Temperature High On/Off Ratio in Suspended Graphene Nanoribbon Field Effect Transistors
• Edge Magneto-Fingerprints in Disordered Graphene Nanoribbons
• Charge Number Dependence of the Dephasing Rates of a Graphene Double Quantum Dot in a Circuit QED Architecture
• Spin Valve Effect in ZigZag Graphene Nanoribbons by Defect Engineering
• Coherent transport through graphene nanoribbons in the presence of edge disorder
• Controllable spin-dependent transport in armchair graphene nanoribbon structures
• Towards Graphene Nanoribbon-based Electronics
• Origin of conductance quantization in disordered graphene ribbons
• Spontaneous edge-defect formation and defect-induced conductance suppression in graphene nanoribbons
• Electronic transport in disordered graphene antidot lattice devices
• Characterizing wave functions in graphene nanodevices: electronic transport through ultrashort graphene constrictions on a boron nitride substrate
• Dirac point resonances due to atoms and molecules adsorbed on graphene and transport gaps and conductance quantization in graphene nanoribbons with covalently bonded adsorbates
• Approaching the Intrinsic Bandgap in Suspended High-Mobility Graphene Nanoribbons
• Atomistic investigation of low-field mobility in graphene nanoribbons
• Variability Effects in Graphene: Challenges and Opportunities for Device Engineering and Applications
• Coulomb Gap in Graphene Nanoribbons
• Interfaces Within Graphene Nanoribbons
• Disorder induced Coulomb gaps in graphene constrictions with different aspect ratios
• Edge effect on resistance scaling rules in graphene nanostructures
• The focusing of electron flow in a bipolar Graphene ribbon with different chiralities
• Anderson disorder in graphene nanoribbons: A local distribution approach
• Tilted potential induced coupling of localized states in a graphene nanoconstriction
• Transition from ballistic to diffusive behavior of graphene ribbons in the presence of warping and charged impurities
• Disorder effects on energy bandgap and electronic transport in graphene-nanomesh-based structures
• Conductance across strain junctions in graphene nanoribbons
• Atomic carbon chains as spin-transmitters: an \textit{Ab initio} transport study
• Band-gap engineering and ballistic transport in corrugated graphene nanoribbons
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Localized electron states near the armchair edge of graphene
• Electric transport through circular graphene quantum dots: Presence of disorder
• Conductance through disordered graphene nanoribbons: Standard and anomalous electron localization
• Magnetoresistive effect in graphene nanoribbon due to magnetic field induced band gap modulation
• A Comparative Study of Substrates Disorder on Mobility in the Graphene Nanoribbon: Charged Impurity, Surface Optical Phonon, Surface Roughness
• Berry's Phase for Standing Wave Near Graphene Edge
• Shot Noise Suppression and Hopping Conduction in Graphene Nanoribbons
• Dynamical Scaling of Surface Roughness and Entanglement Entropy in Disordered Fermion Models
• Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach
• Effect of edge reconstruction and electron-electron interactions on quantum transport in graphene nanoribbons
• Obtaining localization properties efficiently using the Kubo-Greenwood formalism
• Conductance quantization in graphene nanoconstrictions with mesoscopically smooth but atomically stepped boundaries
• Generic suppression of conductance quantization of interacting electrons in graphene nanoribbons in a perpendicular magnetic field
• Edge Configurational Effect on Band Gaps in Graphene Nanoribbons
• Electronic transport in graphene-based structures: an effective cross section approach
• Impurity segregation in graphene nanoribbons
• Energy gap in graphene nanoribbons with structured external electric potentials
• Strain-induced modifications of transport in gated graphene nanoribbons
• Surface scattering and band gaps in rough waveguides and nanowires
• Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
• Edge state transport through disordered graphene nanoribbons in the quantum Hall regime
• Impurity and edge roughness scattering in armchair graphene nanoribbons: Boltzmann approach
• Moiré effects in graphene--hBN heterostructures
• High magnetoresistance at room temperature in p-i-n graphene nanoribbons due to band-to-band tunneling effects
• Interactions and screening in gated bilayer graphene nanoribbons
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements
• Shot noise fluctuations in disordered graphene nanoribbons near the Dirac point
• Thermoelectric properties of in-plane $90^0$-bent graphene nanoribbons with nanopores
• Diffusion on edges of insulating graphene with intravalley and intervalley scattering
• Design of graphene waveguide: Effect of edge orientation and waveguide configuration
• Nonlinear conductance quantization in graphene ribbons
• Graphene Nanoribbons on Hexagonal Boron Nitride: Deposition and Transport Characterization
• Effect of disorder with long-range correlation on transport in graphene nanoribbon
• Stepped Graphene-based Aharonov-Bohm Interferometers
• Spin inversion in fluorinated graphene n-p junction
• Reflection resonances in surface-disordered waveguides: strong higher-order effects of the disorder
• Transport through graphene nanoribbons: suppression of transverse quantization by symmetry breaking
• Breakdown of the Law of Reflection at a Disordered Graphene Edge
• Anisotropic conductivity of doped graphene due to short-range non-symmetric scattering
• Ballistic guided electrons against disorder in graphene nanoribbons
• Charging graphene nanoribbon quantum dots
• Scalable near-infrared graphene plasmonic resonators exhibiting strong non-local and electron quantization effects
• Lambert W Function Framework for Graphene Nanoribbon Quantum Sensing: Theory, Verification, and Multi-Modal Applications