Modeling disorder in graphene

Abstract

We present a study of different models of local disorder in graphene. Our focus is on the main effects that vacancies -- random, compensated and uncompensated --, local impurities and substitutional impurities bring into the electronic structure of graphene. By exploring these types of disorder and their connections, we show that they introduce dramatic changes in the low energy spectrum of graphene, viz. localized zero modes, strong resonances, gap and pseudogap behavior, and non-dispersive midgap zero modes.

16 pages, lower resolution figures

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Cited by in corpus (187)

• The electronic properties of graphene
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• Properties of Graphene: A Theoretical Perspective
• Colloquium: The transport properties of graphene: An introduction
• Vacancy induced magnetism in graphene and graphene ribbons
• Magnetism in Disordered Graphene and Irradiated Graphite
• Understanding adsorption of hydrogen atoms on graphene
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
• Tuning the electronic structure of graphene by ion irradiation
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• Lattice field theory simulations of graphene
• Magnetism of Substitutional Co Impurities in Graphene: Realization of Single $\pi$-Vacancies
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• RKKY interaction in graphene
• RKKY Interaction in Graphene Calculated Following Ruderman and Kittel
• Realization of a Tunable Artificial Atom at a Supercritically Charged Vacancy in Graphene
• Electronic structure of the substitutional vacancy in graphene: Density-functional and Green's function studies
• Critical delocalization of chiral zero energy modes in graphene
• Dirac magnons in a honeycomb lattice quantum XY magnet CoTiO3
• Magnetic moments in the presence of topological defects in graphene
• Linear Scaling Quantum Transport Methodologies
• Symmetry-induced gap opening in graphene superlattices
• Long-range interactions between substitutional nitrogen dopants in graphene: electronic properties calculations
• Spin Transport in Hydrogenated Graphene
• Broken Symmetries, Zero-Energy Modes, and Quantum Transport in Disordered Graphene: From Supermetallic to Insulating Regimes
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Quantum Transport in Chemically-modified Two-Dimensional Graphene: From Minimal Conductivity to Anderson Localization
• Graphene Transport at High Carrier Densities using a Polymer Electrolyte Gate
• Vacancy in graphene: insight on magnetic properties from theoretical modeling
• Vacancy in graphene: insight on magnetic properties from theoretical modeling
• Optical conductivity of disordered graphene beyond the Dirac cone approximation
• Conductivity of graphene with resonant and non-resonant adsorbates
• Vacancy-induced low-energy density of states in the Kitaev spin liquid
• Peierls-type Instability and Tunable Band Gap in Functionalized Graphene
• Effects due to backscattering and pseudogap features in graphene nanoribbons with single vacancies
• Direct imaging of monovacancy-hydrogen complexes in single graphitic layer
• Correlation between structure and electrical transport in ion-irradiated graphene grown on Cu foils
• DC conductivity of twisted bilayer graphene: Angle-dependent transport properties and effects of disorder
• Localization and One-Parameter Scaling in Hydrogenated Graphene
• A new type of vacancy-induced localized states in multilayer graphene
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• Density functional investigations of defect induced mid-gap states in graphane
• Impurity-induced triple point fermions in twisted bilayer graphene
• Scaling of the energy gap in pattern-hydrogenated graphene
• Emergent Localization in Dodecagonal Bilayer Quasicrystals
• Dirac point resonances due to atoms and molecules adsorbed on graphene and transport gaps and conductance quantization in graphene nanoribbons with covalently bonded adsorbates
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• Vacancy Induced Splitting of Dirac Nodal Point in Graphene
• Density of states in graphene with vacancies: midgap power law and frozen multifractality
• Electronic structure of vacancy resonant states in graphene: a critical review of the single vacancy case
• Interplay between sublattice and spin symmetry breaking in graphene
• Unveiling the complex structure-property correlation of defects in 2D materials based on high throughput datasets
• On adatomic-configuration-mediated correlation between electrotransport and electrochemical properties of graphene
• Electronic structure of graphene beyond the linear dispersion regime
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• Intertwined Lattice Deformation and Magnetism in Monovacancy Graphene
• Modeling vacancies and hydrogen impurities in graphene: A molecular point of view
• Unconventional Features in the Quantum Hall Regime of Disordered Graphene: Percolating Impurity States and Hall Conductance Quantization
• Theory of intermolecular exchange in coupled spin-1/2 nanographenes
• Adittional levels between Landau bands due to vacancies in graphene: towards a defect engineering
• Electrical spin manipulation in graphene nanostructures
• Tunable resonances due to vacancies in graphene nanoribbons
• Single-electron gap in the spectrum of twisted bilayer graphene
• Resonant scattering due to adatoms in graphene: top, bridge, and hollow position
• Anderson Transition in Disordered Graphene
• Impurity scattering and Friedel oscillations in mono-layer black phosphorus
• RKKY interaction in gapped or doped graphene
• Quantum Hall Effect in Graphene with Interface-Induced Spin-Orbit Coupling
• Scanning Tunneling Microscopy currents on locally disordered graphene
• Theory of Graphene Chiral Quasiparticle LDOS maps
• Numerical simulation evidence of spectrum rearrangement in impure graphene
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Defect-induced magnetism and Yu-Shiba-Rusinov states in twisted bilayer graphene
• Enhanced Screening in Chemically Functionalized Graphene
• Tight-Binding Model for Adatoms on Graphene: Analytical Density of States, Spectral Function, and Induced Magnetic Moment
• Effect of impurities in high-symmetry lattice positions on the local density of states and conductivity of graphene
• Quantitative analytical theory for disordered nodal points [Article and Erratum]
• Lattice-layer entanglement in Bernal-stacked bilayer graphene
• Engineering spin exchange in non-bipartite graphene zigzag edges
• Sublattice asymmetry of impurity doping in graphene: A review
• Coulomb charging energy of vacancy-induced states in graphene
• Localised zero-energy modes in the Kitaev model with vacancy-disorder
• Probing local moments in nanographenes with electron tunneling spectroscopy
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• Defect Induced Resonances and Magnetic Patterns in Graphene
• Electronic Transport in Graphene: Quantum Effects and Role of Local Defects
• Disorder-mediated Kondo effect in graphene
• Quantum Hall criticality and localization in graphene with short-range impurities at the Dirac point
• Universal quantum transport and impurity band super metallicity in self-similar graphene carpets
• Graphene with vacancies: supernumerary zero modes
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• Electrically tunable resonant scattering in fluorinated bilayer graphene
• Quantum Hall effect in gapped graphene heterojunctions
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• Vacancy-induced low-energy states in undoped graphene
• In-gap impurity states as the hallmark of the Quantum Spin Hall phase
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• Obtaining localization properties efficiently using the Kubo-Greenwood formalism
• Vacancy mediated magnetization and healing of a graphene monolayer
• Impurity State and Variable Range Hopping Conduction in Graphene
• Sublattice imbalance of substitutionally doped nitrogen in graphene
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• Pinning and switching of magnetic moments in bilayer graphene
• Anomalous magnetism in hydrogenated graphene
• Anomalous Transport Signatures in Weyl Semimetals with Point Defects
• Effect of hydrogen adsorption on the quasiparticle spectra of graphene
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• Modeling of gate controlled Kondo effect at carbon point-defects in graphene
• BF-theory in graphene: a route toward topological quantum computing?
• Edge Configurational Effect on Band Gaps in Graphene Nanoribbons
• Color-dependent conductance of graphene with adatoms
• Vacancies in Graphene : Dirac Physics and Fractional Vacuum Charges
• Adatoms and Anderson localization in graphene
• Long-range exchange interaction between magnetic impurities in graphene
• Transport signatures of Kondo physics and quantum criticality in graphene with magnetic impurities
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• Effects of short-range electron-electron interactions in doped graphene
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• Impurity resonance effects in graphene $vs$ impurity location, concentration and sublattice occupation
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• The effects of disorder and interactions on the Anderson transition in doped Graphene
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• Narrow depression in the density of states at the Dirac point in disordered graphene
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• Formulation of the Relativistic Quantum Hall Effect and "Parity Anomaly"
• Defects in Graphene : A Topological Description
• Effective contact model for geometry-independent conductance calculations in graphene
• Hydrogen adatoms on graphene: the role of hybridization and lattice distortion
• Electrical conductivity and resonant states of doped graphene considering next-nearest neighbor interaction
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• Generation-recombination processes via acoustic phonons in a disorded graphene
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• Kondo effect due to a hydrogen impurity in graphene: a multichannel Kondo problem with diverging hybridization
• Impurities and electronic localization in graphene bilayers
• Evidence of tunable magnetic coupling in hydrogenated graphene
• RKKY interaction in heavily vacant graphene
• Disordered graphene Josephson junctions
• Spin polarization dependence of quasiparticle properties in graphene
• Mobility gap and quantum transport in functionalized graphene bilayer
• Impurity states on the honeycomb lattice using the Green's function method
• Spin relaxation in disordered graphene: Interplay between puddles and defect-induced magnetism
• Molecular collapse in graphene: sublattice symmetry effect
• Self-consistent model of edge doping in graphene
• Effect of disorder on the electronic properties of graphene: a theoretical approach
• Transport through graphene nanoribbons: suppression of transverse quantization by symmetry breaking
• Conductivity of Graphene with Resonant Adsorbates: Beyond the Nearest Neighbor Hopping Model
• Double-Fano resonance in a two-level quantum system coupled to zigzag Phosphorene nanoribbon
• Valley filters, accumulators, and switches induced in graphene quantum dots by lines of adsorbed hydrogen atoms
• Zero-energy modes in super-chiral nanographene networks of phenalenyl-tessellation molecules
• Atomic Collapse in Disordered Graphene Quantum Dots
• Electronic transport properties and quantum localization effects monitored by selective functionalization in Bernal bilayer graphene
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Quantum localization and electronic transport in covalently functionalized carbon nanotubes
• Effect of electronic correlation on topological end-states in finite-size graphene nanoribbons
• Anisotropic conductivity of doped graphene due to short-range non-symmetric scattering
• Graphene in the Quantum Hall Regime: Effects of Vacancies, Sublattice Polarization and Disorder
• Vacancies in generic Kitaev spin liquids
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• Exact eigenstate analysis of finite-frequency conductivity in graphene
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• Novel mechanism for weak magnetization with high Curie temperature observed in H-adsorption on graphene
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Impact of clustering of substitutional impurities on quasiparticle lifetimes and localization
• Modulated Dirac bands and integer hopping ratios in a honeycomb lattice of phenalenyl-tessellation molecules