Energy Gaps in Graphene Nanoribbons

Abstract

Based on a first-principles approach, we present scaling rules for the band gaps of graphene nanoribbons (GNRs) as a function of their widths. The GNRs considered have either armchair or zigzag shaped edges on both sides with hydrogen passivation. Both varieties of ribbons are shown to have band gaps. This differs from the results of simple tight-binding calculations or solutions of the Dirac's equation based on them. Our {\it ab initio} calculations show that the origin of energy gaps for GNRs with armchair shaped edges arises from both quantum confinement and the crucial effect of the edges. For GNRs with zigzag shaped edges, gaps appear because of a staggered sublattice potential on the hexagonal lattice due to edge magnetization. The rich gap structure for ribbons with armchair shaped edges is further obtained analytically including edge effects. These results reproduce our {\it ab initio} calculation results very well.

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• Electronic Properties of Graphene Nanoribbon on Si(001) Substrate
• First-principles study of the thermoelectric properties of strained graphene nanoribbons
• Hydrogen Atoms on Zigzag Graphene Nanoribbons: Chemistry and Magnetism Meet at the Edge
• Effective magnetic correlations in hole-doped graphene nanoflakes
• Tight-binding study of the magneto-optical properties of gapped graphene
• Interedge magnetic coupling in transition-metal terminated graphene nanoribbons
• Tuning Penta-Graphene Electronic Properties Through Engineered Line Defects
• Electric transport through circular graphene quantum dots: Presence of disorder
• Substrate effects on quasiparticles and excitons in graphene nanoflakes
• Localized electron states near the armchair edge of graphene
• Conductance through disordered graphene nanoribbons: Standard and anomalous electron localization
• Silicon and silicon-nitrogen impurities in graphene: structure, energetics and effects on electronic transport
• Strong spin-dependent negative differential resistance in composite graphene superlattices
• From Half-metal to Semiconductor: Electron-correlation Effects in Zigzag SiC Nanoribbons From First Principles
• Semimetal-antiferromagnetic insulator transition in graphene induced by biaxial strain
• Tuning flexoelectricty and electronic properties of zig-zag graphene nanoribbons by functionalization
• Hidden Breathing Kagome Topology in Hexagonal Transition Metal Dichalcogenides
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• 1/f noise in graphene
• Optimizing electronic structure and quantum transport at the graphene-Si(111) interface: An ab-initio density-functional study
• Magnetoresistive effect in graphene nanoribbon due to magnetic field induced band gap modulation
• Effective models for strong electronic correlations at graphene edges
• An epitaxial graphene platform for zero-energy edge state nanoelectronics
• Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbons
• External Bias Dependent Direct To Indirect Bandgap Transition in Graphene Nanoribbon
• Size Quantization in Planar Graphene-Based Heterostructures: Pseudospin Splitting, Interface States, and Excitons
• Probing local moments in nanographenes with electron tunneling spectroscopy
• Second-order topological corner states in zigzag graphene nanoflake with different types of edge magnetic configurations
• Strain dependence of the heat transport properties of graphene nanoribbons
• Electronic conductance of twisted bilayer nanoribbon flakes
• States near Dirac points of rectangular graphene dot in a magnetic field
• Moiré superlattices in strained graphene-gold hybrid nanostructures
• A Gate-Induced Switch in Zigzag Graphene Naoribbons and Charging Effects
• Unscreened Coulomb interactions and quantum spin Hall phase in neutral zigzag graphene ribbons
• Magnetization profile for impurities in graphene nanoribbons
• Band gaps in graphene via periodic electrostatic gating
• Tuning electronic structure of graphene via tailoring structure: theoretical study
• Imprinting Tunable $\pi$-Magnetism in Graphene Nanoribbons via Edge Extensions
• Modulation of bandgap in bilayer armchair graphene ribbons by tuning vertical and transverse electric fields
• Contrasting interedge superexchange interactions of graphene nanoribbons embedded in h-BN and graphane
• Enhancing thermoelectric properties of isotope graphene nanoribbons via machine learning guided manipulation of disordered antidots and interfaces
• Impact of complex adatom-induced interactions on quantum spin Hall phases
• Model and performance evaluation of field-effect transistors based on epitaxial graphene on SiC
• Shot Noise Suppression and Hopping Conduction in Graphene Nanoribbons
• Theoretical insights on structural, electronic and thermoelectric properties of inorganic biphenylene: non-benzenoid Boron nitride
• Spontaneous antiferromagnetic order and strain effect on electronic properties of $\alpha$-graphyne
• Electronic and optical properties of graphene antidot lattices: Comparison of Dirac and tight-binding models
• Supercritical instability in graphene with two charged impurities
• Electronic transport across quantum dots in graphene nanoribbons: Toward built-in gap-tunable metal-semiconductor-metal heterojunctions
• Control of electric current by graphene edge structure engineering
• Lithium Mediated Benzene Adsorption on Graphene and Graphene Nanoribbons
• Unveiling and Manipulating Hidden Symmetries in Graphene Nanoribbons
• Kondo effect of cobalt adatom on zigzag graphene nanoribbon
• Exact diagonalization study of the tunable edge magnetism in graphene
• Deflection of suspended graphene by a transverse electric field
• Order from a mess: the growth of 5-armchair graphene nanoribbons
• Graphenylene nanoribbons: electronic, optical and thermoelectric properties from first-principles calculations
• Ferromagnetic nodal-line metal in monolayer {\em h}-InC
• Ion Impact Induced Ultrafast Electron Dynamics in Correlated Materials and Finite Graphene Clusters
• Graphene based superconducting quantum point contacts
• Highly tunable spin-dependent electron transport through carbon atomic chains connecting two zigzag graphene nanoribbons
• Graphene nanoring as a tunable source of polarized electrons
• Rigid Unit Modes in $sp$-$s{p}^2$ Hybridized Carbon Systems: Origin of Negative Thermal Expansion
• Quasi-Ferromagnet Spintronics in Graphene Nanodisk-Lead System
• Suppressed conductance in a metallic graphene nano-junction
• Extending ballistic graphene FET lumped element models to diffusive devices
• Performance Analysis of Boron Nitride Embedded Armchair Graphene Nanoribbon MOSFET with Stone Wales Defects
• Spectrum of pi electrons in bilayer graphene nanoribbons and nanotubes: an analytical approach
• Orbital magnetic susceptibility of finite-sized graphene
• Attraction-repulsion transition in the interaction of adatoms and vacancies in graphene
• Sensory organ like response determines the magnetism of zigzag-edged honeycomb nanoribbons
• Topological effects and particle-physics analogies beyond the massless Dirac-Weyl fermion in graphene nanorings
• Spin transport in graphene nanostructures
• Graphene: Free electron scattering within an inverted honeycomb lattice
• Eliminating edge electronic and phonon states of phosphorene nanoribbon by unique edge reconstruction
• Aharonov-Bohm effect and giant magnetoresistance in graphene nanoribbon rings
• Band bending and zero-conductance resonances controlled by edge electric fields in zigzag silicene nanoribbons
• Hidden correlation between absorption peaks in achiral carbon nanotubes and nanoribbons
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Quantum Size Effects in the Atomistic Structure of Armchair-Nanoribbons
• Wetting and energetics in nanoparticle etching of graphene
• Electrically Induced Dirac Fermions in Graphene Nanoribbons
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• From diffusive to ballistic transport in etched graphene constrictions and nanoribbons
• Nearly Free Electron States in Graphane Nanoribbon Superlattice
• Conductance quantization in graphene nanoconstrictions with mesoscopically smooth but atomically stepped boundaries
• Electrical Transport Properties of Graphene Nanoribbons Produced from Sonicating Graphite in Solution
• Embedded Boron Nitride Domains In Graphene Nanoribbons For Transport Gap Engineering
• Crossed graphene nanoribbons as beam splitters and mirrors for electron quantum optics
• Quasi-Phase Transition and Many-Spin Kondo Effects in Graphene Nanodisk
• Stability of edge states in strained graphene
• Electronic transport through a silicene-based zigzag and armchair junction
• Quantum transport in honeycomb lattice ribbons with armchair and zigzag edges coupled to semi-infinite linear chain leads
• Carbon sp chains in graphene nanoholes
• Conformational tuning of magnetic interactions in coupled nanographenes
• Coherent radial breathing like phonons in graphene nanoribbons
• Transport gap engineering by contact geometry in graphene nanoribbons: Experimental and theoretical studies on artificial materials
• Structure-imposed electronic topology in cove-edged graphene nanoribbons
• Quantum Confinement of Electron-Phonon Coupling in Graphene Quantum Dots
• Generation and Manipulation of Spin Current in Graphene Nanodisks: Robustness against Randomness and Lattice Defects
• Formation of Majorana fermions in finite-size graphene strips
• Magnetism in amorphous carbon
• Fermionic Chern insulator from twisted light with linear polarization
• Effect of a gap opening on the conductance of graphene superlattices
• Band Structure and Optical Absorption in Multilayer Armchair Graphene Nanoribbons: A Pariser-Parr-Pople Model Study
• Electric control of the edge magnetization in zigzag stanene nanoribbon
• Interplay between boundary conditions and Wilson's mass in Dirac-like Hamiltonians
• Conductance modulation in Weyl semimetals with tilted energy dispersion without a band gap
• Electronic structure of epitaxial graphene nanoribbons on SiC(0001)
• Transport properties of armchair graphene nanoribbon junctions between graphene electrodes
• Electric field induced injection and shift currents in zigzag graphene nanoribbons
• Folded Graphene Nanoribbons with Single and Double Closed Edges
• Edge Configurational Effect on Band Gaps in Graphene Nanoribbons
• Dynamical gap generation in graphene nanoribbons: An effective relativistic field theoretical model
• Spin-dependent THz oscillator based on hybrid graphene superlattices
• Impurity induced spin gap asymmetry in nanoscale graphene
• Edge states of zigzag bilayer graphite nanoribbons
• Electronic shell and supershell structure in graphene flakes
• Excitonic gap formation and condensation in the bilayer graphene structure
• The effect of magnetic field and disorders on the electronic transport in graphene nanoribbons
• Effect of long-range interaction on graphene edge magnetism
• Transport in graphene antidot barriers and tunneling devices
• Dependence of transport on adatom location for armchair-edge graphene nanoribbons
• Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
• A theoretical investigation on the transport properties of armchair biphenylene nanoribbons
• Electronic properties of the partially hydrogenated armchair carbon nanotubes
• Impurity segregation in graphene nanoribbons
• Robust Low-Bias Negative Differential Resistance in Graphene Superlattices
• Decay behavior of localized states at reconstructed armchair graphene edges
• Topological edge states of a graphene zigzag nanoribbon with spontaneous edge magnetism
• Unconventional magnetic anisotropy in one-dimentional Rashba system realized by adsorbing Gd atom on zigzag graphene nanoribbons
• Application of carbon nanomaterials in the electronic industry
• Influence of electric and magnetic fields and $\sigma$-edge bands on the electronic and optical spectra of graphene nanoribbons
• Magnetic impurities in graphane with dehydrogenated channels
• Low-bias Negative Differential Resistance effect in armchair graphene nanoribbon junctions
• Disorder induced loss of magnetization in Lieb's graphene quantum dots
• Epigraphene : epitaxial graphene on silicon carbide
• Transport, Aharonov-Bohm, and Topological Effects in Graphene Molecular Junctions and Graphene Nanorings
• One-dimensional magnetic conduction channels across zigzag graphene nanoribbon/hexagonal boron nitride heterojunctions
• Negative quantum capacitance in graphene nanoribbons with lateral gates
• Energy gap in graphene nanoribbons with structured external electric potentials
• Transversal electric field effect in multilayer graphene nanoribbon
• A multiscale study of electronic structure and quantum transport in $C_{6n^2}{H}_{6n}$-based graphene quantum dots
• Interaction effects in a chaotic graphene quantum billiard
• Effects of disorder and contacts on transport through graphene nanoribbons
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Interplay between the edge-state magnetism and long-range Coulomb interaction in zigzag graphene nanoribbons: quantum Monte Carlo study
• Boundaries of Subcritical Coulomb Impurity Region in Gapped Graphene
• RKKY Interactions in Graphene Landau Levels
• High magnetoresistance in graphene nanoribbon heterojunction
• Divacancy-induced Ferromagnetism in Graphene Nanoribbons
• Spin-Polarized Electrons in Bilayer Graphene Flakes
• Robust Dirac Point in Honeycomb Structure Nanoribbons with Zigzag Edges
• Electric field control of the indirect magnetic coupling through a short graphene nanoribbon
• Electronic, Magnetic and Transport Properties of Graphene Ribbons Terminated by Nanotubes
• Charge density and conductivity of disordered Berry-Mondragon graphene nanoribbons
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Spin-filtered edge states in graphene
• Edge magnetism in transition metal dichalcogenide nanoribbons: Mean field theory and determinant quantum Monte Carlo
• Topological Edge and Corner States in Biphenylene Network
• Single and multiple doping effects on electron transport in zigzag silicene nanoribbons
• Edge states and ballistic transport in zig-zag graphene ribbons: the role of SiC polytypes
• Edge state transport through disordered graphene nanoribbons in the quantum Hall regime
• Disorder assisted transmission due to charge puddles in monolayer graphene: Transmission enhancement and local currents
• Spin-dependent transport for armchair-edge graphene nanoribbons between ferromagnetic leads
• Tuning edge state localization in graphene nanoribbons by in-plane bending
• Effects of transverse electric fields on Landau subbands in bilayer zigzag graphene nanoribbons
• Electronic structure of graphene-nanoribbons on hexagonal boron nitride
• Influence of Interface Geometry on Phase Stability and Bandgap Engineering in Boron Nitride substituted Graphene: A Combined First-principles and Monte Carlo Study
• Dirac half-semimetallicity and antiferromagnetism in graphene nanoribbon/hexagonal boron nitride heterojunctions
• Unipolar transport in bilayer graphene controlled by multiple p-n interfaces
• Bandgap engineering of zigzag graphene nanoribbons by manipulating edge states via defective boundaries
• Extended high-harmonic spectra through cascade resonance in confined quantum systems
• Shot Noise Probing of Magnetic Ordering in Zigzag Graphene Nanoribbons
• Aspects of electron transport in zigzag graphene nanoribbons
• Topological junction states and their crystalline network in chiral-symmetric systems: application to graphene nanoribbons
• Geometric phase at graphene edge
• Kane-Mele Hubbard model on a zigzag ribbon: stability of the topological edge states and quantum phase transitions
• Monolayer C${}_{60}$ networks: A first-principles perspective
• Proximity induced spin-orbit splitting in graphene nanoribbons on transition metal dichalcogenides
• Multi-wavelength Raman Spectroscopy of Ultra-narrow Nanoribbons Made by Solution-mediated Bottom-up Approach
• Electronic and Optical Properties of the Narrowest Armchair Graphene Nanoribbons Studied by Density Functional Methods
• First-principles study on the electronic and transport properties of periodically nitrogen-doped graphene and carbon nanotube superlattices
• Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices
• Resonant tunneling in disordered borophene nanoribbons with line defects
• Electronic transport in graphene nanoribbons with sublattice-asymmetric doping
• Confinement and edge effects on atomic collapse in graphene nanoribbons
• Electric field tuning of magnetic states in single magnetic molecules
• Ground-state properties of the narrowest zigzag graphene nanoribbon from quantum Monte Carlo and comparison with density functional theory
• Phase diagram and superlattice structures of monolayer phosphorus carbide (P${}_x$C${}_{1-x}$)
• Grapheayne: a class of low-energy carbon allotropes with diverse optoelectronic and topological properties
• Tunable Half-Metallicity and Edge Magnetism of H-saturated InSe Nanoribbons
• Signatures of single quantum dots in graphene nanoribbons within the quantum Hall regime
• Boron and nitrogen doping in graphene antidot lattices
• Effective spin theories for edge magnetism in graphene zigzag ribbons
• Density functional theory studies of interactions of graphene with its environment: substrate, gate dielectric and edge effects
• High magnetoresistance at room temperature in p-i-n graphene nanoribbons due to band-to-band tunneling effects
• Multilayer graphene nanoribbon under vertical electric field
• Bosonic field theory of tunable edge magnetism in graphene
• Tunable Band Structures of Polycrystalline Graphene by External and Mismatch Strains
• Dependence of atomic arrangement on length of flat bands in zigzag BC2N nanoribbons
• Mode space approach for tight-binding transport simulations in graphene nanoribbon field-effect transistors including phonon scattering
• Multiple Localized States and Magnetic Orderings in Partially Open Zigzag Carbon Nanotube Superlattices: An Ab Initio Study
• Atomistic quantum transport modeling of metal-graphene nanoribbon heterojunctions
• Excitonic Effects in the Optical Spectra of Graphene Nanoribbons
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements
• Pseudospin for Raman D Band in Armchair Graphene Nanoribbons
• Electric gating induced bandgaps and enhanced Seebeck effect in zigzag bilayer graphene ribbons
• Repair of magnetism in oxidized graphene nanoribbons
• Understanding the optical properties of doped and undoped 9-armchair graphene nanoribbons in dispersion
• Gate-controlled photo-oxidation of graphene for electronic structure modification
• Spin Filter Properties of Armchair Graphene Nanoribbons with Substitutional Fe Atoms
• Biphenylene Nanoribbon as Promising Electrocatalyst for Hydrogen Evolution
• A magnetic phase-transition graphene transistor with tunable spin polarization
• Quantum computation with two-dimensional graphene quantum dots
• Inter-ribbon tunneling in graphene: an atomistic Bardeen approach
• Growth, charge and thermal transport of flowered graphene
• Ab initio modelling of spin relaxation lengths in disordered graphene nanoribbons†
• The screening effects on field enhancement factor of zigzag graphene nanoribbon arrays: A first-principles study
• Electronic and transport properties of rectangular graphene macromolecules and zigzag carbon nanotubes of finite length
• Preferential functionalization on zigzag graphene nanoribbons: First-principles calculations
• Effects of random atomic disorder on the magnetic stability of graphene nanoribbons with zigzag edges
• Impurity scattering and size quantization effects in a single graphene nanoflake
• Diffusion and localization in carbon nanotubes and graphene nanoribbons
• Quantum Capacitance of Graphene Sheets and Nanoribbons
• Collective Modes of Massive Dirac Fermions in Armchair Graphene Nanoribbons
• Hexagonal Nanopits with the Zigzag Edge State on Graphite Surfaces Synthesized by Hydrogen-Plasma Etching
• Mimicking Nanoribbon Behavior Using a Graphene Layer on SiC
• Dimensional crossover of thermal conductance in graphene nanoribbons: A first-principles approach
• Topological junction states in graphene nanoribbons: A route to topological chemistry
• Stability of destructive interference antiresonances in electron transport through graphene nanostructures
• From Kondo to local singlet state in graphene nanoribbons with magnetic impurities
• Enhancement of the Seebeck effect in bilayer armchair graphene nanoribbons by tuning the electric fields
• Effect of edge defects on band structure of zigzag graphene nanoribbons
• Experimental signature of bandgap opening in bilayer graphene at metal contacts
• Polarization Induced Switching Effect in Graphene Nanoribbon Edge-Defect Junction
• Velocity renormalization and Dirac cone multiplication in graphene superlattices with various barrier edge geometries
• Electronic transport of a large scale system studied by renormalized transfer matrix method: application to armchair graphene nanoribbons between quantum wires
• Massless Fermions on a half-space: The curious case of 2+1-dimensions
• Electronic properties of edge-functionalized zigzag graphene nanoribbons on SiO2 substrate
• Origin of multiple band gap values in single width nanoribbons
• Transmission across a bilayer graphene region
• Thermoelectric properties of in-plane $90^0$-bent graphene nanoribbons with nanopores
• Spintronic properties of one-dimensional electron gas in graphene armchair ribbons
• Even-odd conductance effect in graphene nanoribbons induced by edge functionalization with aromatic molecules: Basis for novel chemosensors
• Investigation of Edge States in Artificial Graphene Nano-Flakes
• Boundary-induced violation of the Dirac fermion parity and its signatures in local and global tunneling spectra of graphene
• Current modulation in graphene p-n junctions with external fields
• Multiphoton excitation and high harmonic generation in rectangular graphene quantum dot
• Detection of adsorbed transition-metal porphyrins by spin-dependent conductance of graphene nanoribbon
• Entanglement and magnetism in high-spin graphene nanodisks
• Electron Confinement Induced by Diluted Hydrogen-like Ad-atoms in Graphene Ribbons
• Controlling edge states in the Kane-Mele model via edge chirality
• Tailoring the opto-electronic response of graphene nanoflakes by size and shape optimization
• Band gap engineering in finite elongated graphene nanoribbon heterojunctions: Tight-binding model
• Optimal model of semi-infinite graphene for ab initio calculations of reactions at graphene edges by the example of zigzag edge reconstruction
• The next generation of FETs: CNTFETs
• Electrode effects on the observability of destructive quantum interference in single-molecule junctions
• Raman Spectroscopy of Graphene under Uniaxial Stress: Phonon Softening and Determination of the Crystallographic Orientation
• The organic functional group effect on the electronic structure of graphene nano-ribbon: A first-principles study
• Exciton absorption in narrow armchair graphene nanoribbons
• Ferromagnetism in armchair graphene nanoribbon heterostructures
• Electronic structure of fullerene nanoribbons
• Amplification of Acoustic Waves in Graphene Nanoribbon in the Presence of External Electric and Magnetic Field
• Competing magnetic states on the surface of multilayer ABC-stacked graphene
• Transformation of a graphene nanoribbon into a hybrid 1D nanoobject with alternating double chains and polycyclic regions
• Topological Domain Walls in Graphene Nanoribbons with Carrier Doping
• Generating extreme quantum scattering in graphene with machine learning
• Differential Conductance Fluctuation of Curved Nanographite Sheets in the Mesoscopic Regime
• Gap-tunable of Tunneling Time in Graphene Magnetic Barrier
• Twisting or untwisting graphene twisted nanoribbons without rotation
• A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
• Design of graphene waveguide: Effect of edge orientation and waveguide configuration
• One-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law
• Stability of edge magnetism against disorder in zigzag MoS${}_2$ nanoribbons
• Tuning the electronic structure and magnetic coupling in armchair B${}_2$S nanoribbons using strain and staggered sublattice potential
• Possible excited spin density wave states in zigzag graphene nanoribbons
• A Mixed Basis Density Functional Approach for Low Dimensional Systems with B-splines
• Electronic Structure Trends of Möbius Graphene Nanoribbons from Minimal-Cell Simulations
• Appearance of Flat Bands and Edge States in Boron-Carbon-Nitride Nanoribbons
• First-principles predictions of tunable half metallicity in zigzag GaN nanoribbons with possible applications in CO detection and spintronics
• Electronic Structure and Carrier Mobilities of Twisted Graphene Helix
• A Fortran 90 Hartree-Fock program for one-dimensional periodic $\pi$-conjugated systems using Pariser-Parr-Pople model
• Anomalous exchange interaction between intrinsic spins in conducting graphene systems
• Interplay of relativistic and nonrelativistic transport in atomically precise segmented graphene nanoribbons
• Goos-Hänchen Shifts in Graphene with Spatially Modulated Potential
• Conductance modulation in graphene nanoribbon under transver-se asymmetric electric potential
• Acoustomagnetoelectric Effect in Graphene Nanoribbon in the Presence of External Electric and Magnetic Field
• Raman spectroscopy on mechanically exfoliated pristine graphene ribbons
• Disintegration of graphene nanoribbons in large electrostatic fields
• Spin susceptibilities in zigzag graphene nanoribbons
• Large magnetoresistance from long-range interface coupling in armchair graphene nanoribbon junctions
• Steric hindrance in the on-surface synthesis of diethynyl-linked anthracene polymers
• Wavepacket representation of leads for efficient simulations of time-dependent electronic transport
• Effect of weak disorder on delocalization properties of gapped graphene superlattices
• Mechanical Manipulations on Electronic Transport of Graphene Nanoribbons
• Lithium doped graphene as spintronic devices
• Enhancement of thermoelectric figure of merit in zigzag graphene nanoribbons with periodic edge vacancies
• The effect of electron-phonon interaction on the thermoelectric properties of defect zigzag nanoribbons
• Effect of disorder with long-range correlation on transport in graphene nanoribbon
• Tunable electronic properties of partially edge-hydrogenated armchair boron-nitrogen-carbon nanoribbons
• External-strain-induced semimetallic and metallic phase of chlorographene
• Stepped Graphene-based Aharonov-Bohm Interferometers
• Self-Organized Bosonic Domain Walls
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Nonlinear Transport through ultra-narrow Zigzag Graphene Nanoribbons: non-equilibrium charge and bond currents
• Predicting magnetic edge behaviour in graphene using neural networks
• Boundary Ferromagnetism in Zigzag Edged Graphene
• Quantum spin Hall phase in neutral zigzag graphene ribbons
• Topological electronic states in holey graphyne
• Inducing Berry Curvature Dipole in Multilayer Graphene through Inhomogeneous Interlayer Sliding
• Zigzag dice lattice ribbons: Distinct edge morphologies and structure-spectrum correspondences
• Reconstruction of Zigzag Graphene Edges: Energetics, Kinetics and Residual Defects
• Suppression of diffusion of hydrogen adatoms on graphene by effective adatom interaction
• Dynamic RKKY interaction between magnetic moments in graphene nanoribbons
• Insulating state in low-disorder graphene nanoribbons
• Bistability of zigzag edge magnetism in graphene nanoribbons induced by electric field
• Edge-Insensitive Magnetism and Half Metallicity in Graphene Nanoribbons
• Dimensional crossover and enhanced thermoelectric efficiency due to broken symmetry in graphene antidot lattices
• Breakdown of the Law of Reflection at a Disordered Graphene Edge
• Ultrafast Charge Separation Induced by a Uniform Field in Graphene Nanoribbons
• A parameter-free statistical model for two-dimensional carbon nanostructures
• Stoner ferromagnetism in low-angle twisted bilayer graphene at three-quarters filling
• Band Gap Opening and Optical Absorption Enhancement in Graphene using ZnO Nanoclusters
• Predicting edge-localized monovacancy defects in zigzag graphene nanoribbons from Floquet quasienergy spectrum
• Conductance of graphene flakes contacted at their corners
• Magnetic and electronic properties of 1D hybrid nanoobjects composed of alternating polycyclic hydrocarbon regions and double carbon chains
• Rectification and bolometric terahertz radiation detectors based on perforated graphene structures exhibiting plasmonic resonant response
• Jahn-Teller-like Distortion in a One-dimensional π-Conjugated Polymer
• Twist-Induced Effects on Weyl Pairs in Magnetized Graphene Nanoribbons
• Electron Transfer on Impurity doped Graphene Nanoribbon
• Anisotropic super-spin at the end of a carbon nanotube
• Effect of edge structures on elastic modulus and fracture of graphene nanoribbons under uniaxial tension
• Exploring Topological Transport in Pt${}_2$HgSe${}_3$ Nanoribbons: Insights for Spintronic Device Integration
• Entropy and Seebeck signals meet on the edges
• Ultra-Fast All-Electrical Universal Nano-Qubits
• Steady and dynamic magnetic phase transitions in interacting quantum dots arrays coupled with leads
• Effect of electronic correlation on topological end-states in finite-size graphene nanoribbons
• Engineering plasmon modes and their loss in armchair graphene nanoribbons by selected edge-extended defects
• Platinum contacts for 9-atom-wide armchair graphene nanoribbons
• Graphene Nanoribbons: from chemistry to circuits
• Quantum magnetism of topologically-designed graphene nanoribbons
• Electronic structures and edge effects of Ga2S2 nanoribbons
• Zigzag nanoribbon of gated bilayer hexagonal crystals with spontaneous edge magnetism
• Mechanotunable monatomic metal structures at graphene edges
• Inducing a topological transition in graphene nanoribbons superlattices by external strain
• Quantum Electronic Transport Across "Bite" Defects in Graphene Nanoribbons
• Charge Density Wave Transport in Porous Graphene Nanoribbons
• Scattering problems and boundary conditions for 2D electron gas and graphene
• Gate-Tunable Optical Extinction of Graphene Nanoribbon Nanoclusters
• Charging graphene nanoribbon quantum dots
• Enhanced Linear Dichroism of Flattened-Edge Black Phosphorus Nanoribbons
• Reversible Structural Transition of Two-Dimensional Copper Selenide on Cu(111)
• Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
• Susbtrate-Induced Stabilization and Reconstruction of Zigzag Edges in Graphene Nanoislands on Ni(111)
• Non-Linear Temperature Dependence in Graphene Nanoribbon Tunneling Transistors
• Edge-functionalization of armchair graphene nanoribbons with pentagonal-hexagonal edge structures
• Electron beam splitting effect with crossed zigzag graphene nanoribbons in high-spin metallic states
• Porous carbon nitride fullerenes: a novel family of porous cage molecules
• Thermodynamic Favorability of the 1T Phase over the 1H Phase in Group III Metal Monochalcogenide Zigzag Nanoribbons
• Low-energy Landau levels of AB-stacked zigzag graphene ribbons
• Finger-gate manipulated quantum transport in Dirac materials
• Charge transfer and weak bonding between molecular oxygen and graphene zigzag edges at low temperatures
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids
• Quantum Well Based on Graphene and Narrow-Gap Semiconductors
• Thermal-Field Electron Emission from Three-Dimensional Topological Semimetals
• Probing divacancy defects in a zigzag graphene nanoribbon through RKKY exchange interaction
• Thermal Dynamics of Graphene Edges Investigated by Polarized Raman Spectroscopy
• Graphene Nanoribbon in Sharply Localized Magnetic Fields
• Crystallogprahically selective nanopatterning of graphene on SiO2
• Twisted Helical shaped Graphene Nano-Ribbons: Role of Symmetries and Passivation
• Universal Scaling of Electron Transmission for Nearly Ballistic and Quantum Dragon Nanodevices
• STM/S Observations of Graphene on SiC(0001) Etched by H-plasma
• Twin lead ballistic conductor based on nanoribbon edge transport
• Uniform current in graphene strip with zigzag edges
• Magnetoelectric torque and edge currents in spin-orbit coupled graphene nanoribbons
• Coexistence of flat bands and Dirac bands in a carbon-Kagome-lattice family
• Mach--Zehnder-like interferometry with graphene nanoribbon networks
• Transverse Rashba Effect and Unconventional Magnetocrystalline Anisotropy in Double-Gd-adsorbed Zigzag Graphene Nanoribbon
• First-principles study of metal-graphene edge contact for ballistic Josephson junction
• Alignment of graphene nanoribbons by an electric-field
• Robust correlated magnetic moments in end-modified graphene nanoribbons
• Conductance recovery and spin polarization in boron and nitrogen codoped graphene nanoribbons
• Possible gapless helical edge states in hydrogenated graphene
• Hexa-Graphyne: A Transparent and Semimetallic 2D Carbon Allotrope with Distinct Optical Properties
• One-dimensional moiré engineering in zigzag graphene nanoribbons on hBN
• Projected Performance Advantage of Multilayer Graphene Nanoribbon as Transistor Channel Material
• Lambert W Function Framework for Graphene Nanoribbon Quantum Sensing: Theory, Verification, and Multi-Modal Applications
• Electrical and Structural Response of Nine-Atom-Wide Armchair Graphene Nanoribbon Transistors to Gamma Irradiation
• Multifield phonon spectrometrics of structured liquid and solid crystals
• Topology as a Design Variable for Multiproperty Engineering in Synthesized 4-5-6-8 Carbon Nanoribbons
• Ballistic Graphene Nanoribbon MOSFETs: a full quantum real-space simulation study
• Controllable magnetic correlation between two impurities by spin-orbit coupling in graphene
• Particle-hole symmetry broken solutions in graphene nanoribbons: a multi-orbital, mean-field perspective
• Designing all-graphene nanojunctions by covalent functionalization
• Band Gap of Strained Graphene Nanoribbons
• Bag boundaries for quasispinor confinement within nanolanes on a graphene sheet
• Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons
• Dynamics of quasi-particles in graphene with impurities and sharp edges from the kp method standpoint
• Potential-tuned magnetic switches and half-metallicity transition in zigzag graphene nanoribbons
• Electron transport in graphene/graphene side-contact junction by plane-wave multiple scattering method
• Manipulating the fully spin-polarized edge currents in graphene ribbon
• Iodine versus Bromine Functionalization for Bottom-Up Graphene Nanoribbon Growth: Role of Diffusion
• A DFT Study on the Electronic Structure of In-Plane Heterojunctions of Graphene and Hexagonal Boron Nitride Nanoribbons
• The transmission spectra of the graphene-based Fibonacci superlattice
• Electronic and magnetic properties of graphene-fluorographene nanoribbons: Controllable semiconductor-metal transition
• Geometric, magnetic and electronic properties of folded graphene nanoribbons
• Nearly Free Electron States in Graphene Nanoribbon Superlattices
• Magnetism on the boron-doped Si(111)-$\sqrt{3}\times \sqrt{3}$ surface
• Polarization of ultrashort optical pulses in semiconductor superlattice in a presence of magnetic field
• Third nearest neighbor parameterized tight biding model for graphene nano-ribbons
• Gap prediction in hybrid graphene - hexagonal boron nitride nanoflakes using artificial neural networks
• Magnetically tuned topological phase in graphene nanoribbon heterojunctions
• Tuning the electronic properties of hydrogen passivated C3N nanoribbons through van der Waals stacking
• Decoration of graphene nanoribbons by $5d$ transition-metal elements
• Energy Band Engineering of Periodic Scatterers by Quasi-1D Confinement
• Variable range of the RKKY interaction in edged graphene
• Effects of zigzag edge states on the thermoelectric properties of finite graphene nanoribbons