Colloquium: The transport properties of graphene: An introduction

Abstract

An introduction to the transport properties of graphene combining experimental results and theoretical analysis is presented. In the theoretical description simple intuitive models are used to illustrate important points on the transport properties of graphene. The concept of chirality, stemming from the massless Dirac nature of the low energy physics of the material, is shown to be instrumental in understanding its transport properties: the conductivity minimum, the electronic mobility, the effect of strain, the weak (anti-)localization, and the optical conductivity.

As published

References in corpus (120)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Ultrahigh electron mobility in suspended graphene
• Detection of Individual Gas Molecules Absorbed on Graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• The structure of suspended graphene sheets
• Control of graphene's properties by reversible hydrogenation
• Chiral tunneling and the Klein paradox in graphene
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Suspended Graphene: a bridge to the Dirac point
• Room-Temperature Quantum Hall Effect in Graphene
• Graphene photodetectors for high-speed optical communications
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
• Making graphene visible
• Measurement of the Optical Conductivity of Graphene
• Graphene-Based Liquid Crystal Device
• Charged Impurity Scattering in Graphene
• Unconventional Integer Quantum Hall effect in graphene
• A tight-binding approach to uniaxial strain in graphene
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Andreev reflection and Klein tunneling in graphene
• Asymmetry gap in the electronic band structure of bilayer graphene
• A self-consistent theory for graphene transport
• Temperature dependent transport in suspended graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Dynamical polarization of graphene at finite doping
• All-graphene integrated circuits via strain engineering
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Universal dynamical conductance in graphite
• Optical far-infrared properties of graphene monolayer and multilayers
• Tailoring the atomic structure of graphene nanoribbons by STM lithography
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Quantum-limited shot noise in graphene
• Space-time dispersion of graphene conductivity
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Evidence of Klein tunneling in graphene p-n junctions
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Excitonic Effects on the Optical Response of Graphene and Bilayer Graphene
• Macroscopic graphene membranes and their extraordinary stiffness
• Quantum transport of massless Dirac fermions in graphene
• Defect scattering in graphene
• Disorder Induced Localized States in Graphene
• Infrared spectroscopy of Landau levels in graphene
• Electronic transport in graphene: A semi-classical approach including midgap states
• Spectroscopic ellipsometry of graphene and an exciton-shifted van Hove peak in absorption
• Electron scattering on microscopic corrugations in graphene
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Imaging and Dynamics of Light Atoms and Molecules on Graphene
• Weak localisation in graphene flakes
• Giant Phonon-induced Conductance in Scanning Tunneling Spectroscopy of Gate-tunable Graphene
• Electron transport in disordered graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Evidence of the role of contacts on the observed electron-hole asymmetry in graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Modeling disorder in graphene
• Merging of Dirac points in a two-dimensional crystal
• Effect of Disorder on Transport in Graphene
• Tuning the effective fine structure constant in graphene: opposing effects of dielectric screening on short- and long-range potential scattering
• Conductance quantization and transport gap in disordered graphene nanoribbons
• Resonant scattering by realistic impurities in graphene
• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• The Coulomb impurity problem in graphene
• Evidence of structural strain in epitaxial graphene layers on 6H-SiC(0001)
• Graphene as an electronic membrane
• Visibility of graphene flakes on a dielectric substrate
• On resonant scatterers as a factor limiting carrier mobility in graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• On the universal AC optical background in graphene
• On the minimal conductivity of graphene
• Zero modes of tight binding electrons on the honeycomb lattice
• How perfect can graphene be?
• Shot Noise in Ballistic Graphene
• Monovalent impurities on graphene: midgap states and migration barriers
• Adsorbate-limited conductivity of graphene
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Strained graphene: tight-binding and density functional calculations
• Theory of resonant multiphonon Raman scattering in graphene
• Single particle relaxation time versus transport scattering time in a 2D graphene layer
• Transport in chemically doped graphene in the presence of adsorbed molecules
• Pseudomagnetic fields and ballistic transport in a suspended graphene sheet
• Random resistor network model of minimal conductivity in graphene
• Ground-state of graphene in the presence of random charged impurities
• Orthogonality catastrophe and Kondo effect in graphene
• Numbers of donors and acceptors from transport measurements in graphene
• On electron (anti)localization in graphene
• Evidence for Strain-Induced Local Conductance Modulations in Single-Layer Graphene on SiO2
• Conductivity and Fano factor in disordered graphene
• Phenomenological study of the electronic transport coefficients of graphene
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Density-Functional Theory of Graphene Sheets
• Conductivity of suspended and non-suspended graphene at finite gate voltage
• Graphene: A Pseudochiral Fermi Liquid
• Algebraic solution of a graphene layer in a transverse electric and perpendicular magnetic fields
• Density dependent exchange contribution to $\partial \mu /\partial n$ in extrinsic graphene
• Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
• Scattering mechanisms and Boltzmann transport in graphene
• Impurity-assisted tunneling in graphene
• Excitonic effects in the optical conductivity of gated graphene
• Quantum resistance metrology in graphene
• Effect of short- and long-range scattering in the conductivity of graphene: Boltzmann approach vs tight-binding calculations
• Electron waves in chemically substituted graphene
• Temperature dependence of the conductivity of ballistic graphene
• Optical properties of graphene: the Fermi liquid approach
• The infrared conductivity of graphene
• Conductivity of disordered graphene at half filling
• Dirac electrons in graphene-based quantum wires and quantum dots
• Effect of external conditions on the structure of scrolled graphene edges
• Sublattice ordering in a dilute ensemble of defects in graphene
• Transport in a Clean Graphene Sheet at Finite Temperature and Frequency
• Local density of states and scanning tunneling currents in graphene
• On the effect of weak disorder on the density of states in graphene
• Conductivity of graphene: How to distinguish between samples with short and long range scatterers
• Weak ferromagnetism and spiral spin structures in honeycomb Hubbard planes

Cited by in corpus (194)

• Graphene plasmonics
• Graphene Plasmonics for Terahertz to Mid-Infrared Applications
• The electronic properties of bilayer graphene
• Negative Thermal Expansion Coefficient of Graphene Measured by Raman Spectroscopy
• Dirac materials
• A Primer on Surface Plasmon-Polaritons in Graphene
• Tuneable electronic properties in graphene
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Approaching the Limits of Transparency and Conductivity in Graphitic Materials through Lithium Intercalation
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Tuning laser-induced bandgaps in graphene
• Modeling electronic structure and transport properties of graphene with resonant scattering centers
• Generation of pure bulk valley current in graphene
• Colloquium: Graphene spectroscopy
• Effective Theory of Floquet Topological Transitions
• How close can one approach the Dirac point in graphene experimentally?
• Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Nanosecond spin lifetimes in single- and few-layer graphene-hBN heterostructures at room temperature
• Hot carriers in graphene -- fundamentals and applications
• Optical response of graphene under intense terahertz fields
• Graphene: Piecing it together
• Effect of Point Defects on the Optical and Transport Properties of MoS2 and WS2
• Radiation effects on the electronic structure of bilayer graphene
• Optical Properties of Strained Graphene
• Spintronics with graphene
• Evidence for spin-flip scattering and local moments in dilute fluorinated graphene
• Octagraphene as a Versatile Carbon Atomic Sheet for Novel Nanotubes, Unconventional Fullerenes and Hydrogen Storage
• Tunable graphene-based polarizer
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Complete light absorption in graphene-metamaterial corrugated structures
• Low frequency optical conductivity in graphene and in other scale-invariant two-band systems
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Coulomb drag between massless and massive fermions
• Quantum heat engine in the relativistic limit: The case of a Dirac particle
• Dirac fermions in strong electric field and quantum transport in graphene
• Transport properties of graphene with one-dimensional charge defects
• Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
• Coulomb Drag and High Resistivity Behavior in Double Layer Graphene
• Modeling Klein tunneling and caustics of electron waves in graphene
• Scattering of two-dimensional massless Dirac electrons by a circular potential barrier
• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
• Holography of charged dilatonic black branes at finite temperature
• Effects of nitrogen-doping configurations with vacancies on conductivity in graphene
• Controlling the energy gap of graphene by Fermi velocity engineering
• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• One-dimensional quantum channel in a graphene line defect
• Graphene based sensors: theoretical study
• Enhancing the absorption of graphene in the terahertz range
• Long-range electrostatic contribution to the electron-phonon couplings and mobilities of two-dimensional and bulk materials
• Quantum thermal transport in stanene
• Exact solution for square-wave grating covered with graphene: Surface plasmon-polaritons in the THz range
• Strain-tunable band gap in graphene/h-BN hetero-bilayer
• Effects of optical and surface polar phonons on the optical conductivity of doped graphene
• Single-parameter quantum charge and spin pumping in armchair graphene nanoribbons
• Strain induced edge magnetism at zigzag edge in graphene quantum dot
• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
• Integrating Functional Oxides with Graphene
• Graphene-assisted resonant transmission and enhanced Goos-Hänchen shift in a frustrated total internal reflection configuration
• Interactions and magnetic moments near vacancies and resonant impurities in graphene
• Conductivity of graphene on boron nitride substrates
• Transport across twist angle domains in moiré graphene
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Dynamical current-current correlation of the hexagonal lattice and graphene
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Atomistic Mechanisms of Codoping-Induced p- to n-Type Conversion in Nitrogen-Doped Graphene
• Transport scattering time probed through rf admittance of a graphene capacitor
• Enhanced Light-Matter Interaction in Graphene/h-BN van der Waals Heterostructures
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Valley Seebeck effect in gate tunable zigzag graphene nanoribbons
• Terahertz electric field driven electric currents and ratchet effects in graphene
• Negative-curvature spacetime solutions for graphene
• Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• Energy spectrum and Landau levels in bilayer graphene with spin-orbit interaction
• Midgap states and band gap modification in defective graphene/h-BN heterostructures
• Controlling doping in graphene through a SiC substrate: A first-principles study
• Quantum pumping in graphene nanoribbons at resonant transmission
• Effect of Uniaxial Strain on Ferromagnetic Instability and Formation of Localized Magnetic States on Adatoms in Graphene
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
• Uncovering and experimental realization of multimodal 3D topological metamaterials for low-frequency and multiband elastic wave control
• Vortex and gap generation in gauge models of graphene
• Scattering by linear defects in graphene: a continuum approach
• Effect of charged impurity correlation on transport in monolayer and bilayer graphene
• Classical to quantum crossover of the cyclotron resonance in graphene: A study of the strength of intraband absorption
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Electron dynamics in strained graphene
• Defect Induced Resonances and Magnetic Patterns in Graphene
• Electronic structure of a graphene superlattice with a modulated Fermi velocity
• GOE statistics in graphene billiards with the shape of classically integrable billiards
• Extrinsic Orbital Hall Effect: Orbital Skew Scattering and Crossover Between Diffusive and Intrinsic Orbital Transport
• Density of states as a probe of electrostatic confinement in graphene
• Light scattering by a medium with a spatially modulated optical conductivity: the case of graphene
• Magnetotransport signatures of the proximity exchange and spin-orbit couplings in graphene
• Scattering of graphene plasmons at abrupt interfaces: an analytic and numeric study
• Electronic structure of a graphene superlattice with massive Dirac fermions
• Dynamics of quasiparticles in graphene under intense circularly polarized light
• General Green's function formalism for layered systems: Wave function approach
• Particle creation from the vacuum by an exponentially decreasing electric field
• Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
• Charge transport in gapless chiral electron systems with arbitrary band dispersion
• Single to Double Hump Transition in the Equilibrium Distribution Function of Relativistic Particles
• Dynamical Noncommutative Graphene
• Effects of doping and bias voltage on the screening in AAA-stacked trilayer graphene
• Analytical expressions for the polarizability of the honeycomb lattice
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Magnetoresistance of disordered graphene: from low to high temperatures
• Catching the Bound States in the Continuum of a Phantom Atom in Graphene
• The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
• Phase diagrams and edge-state transitions in graphene with spin-orbit coupling and magnetic and pseudomagnetic fields
• Characterization and manipulation of intervalley scattering induced by an individual monovacancy in graphene
• Optical properties of dielectric plates coated with gapped graphene
• Radiation from electrons in graphene in strong electric field
• Observation of $1/k^4$-tails after expansion of Bose-Einstein Condensates with impurities
• Spectral and optical properties of doped graphene with charged impurities in the self-consistent Born approximation
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Point-Gap Bound States in Non-Hermitian Systems
• Spintronics in 2D graphene-based van der Waals heterostructures
• Scars in Dirac fermion systems: the influence of an Aharonov--Bohm flux
• Spin Hall Effect: Symmetry Breaking, Twisting, and Giant Disorder Renormalization
• Measuring Dirac Cones in a Sub-Wavelength Metamaterial
• Competition between excitonic gap generation and disorder scattering in graphene
• The Casimir effect in graphene systems: Experiment and theory
• A Transfer Matrix Approach to Electron Transport in Graphene through Arbitrary Electric and Magnetic Potential Barriers
• Boosting energy levels in graphene magnetic quantum dots through magnetic flux and inhomogeneous gap
• Emergent space-time supersymmetry at disorder quantum critical point
• Local moment formation in bilayer graphene
• Cloaking Resonant Scatterers and Tuning Electron Flow in Graphene
• ${\sigma }_h$ symmetry and electron-phonon interaction in two-dimensional crystalline systems
• Optical Dichroism by Nonlinear Excitations in Graphene Nanoribbons
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Valley and Zeeman Splittings in Multilayer Epitaxial Graphene Revealed by Circular Polarization Resolved Magneto-infrared Spectroscopy
• Multiple crossing of Landau levels of two-dimensional fermions in double HgTe quantum wells
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
• Pumping electrons in graphene to the $\mathbf{M}$-point in the Brillouin zone: The emergence of anisotropic plasmons
• Keldysh functional renormalization group for electronic properties of graphene
• Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
• On the convergence of the polarization tensor in space-time of three dimensions
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Magnetism of an adatom on biased AA-stacked bilayer graphene
• Long-wavelength optical phonon behavior in uniaxial strained graphene: Role of electron-phonon interaction
• Magnetoplasmons and SU(4) symmetry in graphene
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Magnetic field driven instability in planar NJL model in real-time formalism
• Nonlinear electric transport in graphene with magnetic disorder
• Interplay of resonant states and Landau levels in functionalized graphene
• Coulomb drag between two graphene layers at different temperatures
• Iterative approach to arbitrary nonlinear optical response functions of graphene
• Quasi-stationary states and fermion pair creation from a vacuum in supercritical Coulomb field
• Free electron nanolaser based on the graphene plasmons
• Origins of Valley Current Reversal in Partially Overlapped Graphene Layers
• Scanning gate microscopy in graphene nanostructures
• Photon emission in the graphene under the action of a quasiconstant external electric field
• Continuum limits for discrete Dirac operators on 2D square lattices
• Two-dimensional Dirac semimetals with tunable edge states
• States of charged quantum fields and their statistical properties in the presence of critical potential steps
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Quantum criticality and optical conductivity in a two-valley system
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
• Tunnel Valley Current Filter in the Partially Overlapped Graphene under the Vertical Electric Field
• Effect of Inter-Adatoms Correlations on the Local Density of States of Graphene
• Designer spin-orbit superlattices: symmetry-protected Dirac cones and spin Berry curvature in two-dimensional van der Waals metamaterials
• Critical properties of three-dimensional many-flavour QEDs
• Effect of resonant impurity scattering of carriers on Drude peak broadening in uniaxially strained graphene
• Strain- and doping-tunable optical resonance in Kekulé-Y graphene
• Four-terminal voltage fluctuations in disordered graphene nanoribbons: Anderson and anomalous localization effects
• Chemical sensing with graphene: A quantum field theory perspective
• Particle creation in cosmological space-time by a time-dependent electric field
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Effect of fluorine patterns on electronic transport in fluorinated graphene
• Quantum confinement in Dirac-like nanostructures
• Graphene resistivity in diffusive limit due to scalar and vector potential electron-phonon scattering
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Bridging the gap between numerics and experiment in free standing graphene
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model
• Disorder-enabled directional delocalization and wave steering in time-modulated Dirac materials
• Optical conductivity of a Dirac-Fermi liquid
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Strong magnetoresistance in a graphene Corbino disk at low magnetic fields
• Environmental Sensitivity of Fabry-Perot Microcavities Induced By Layered Graphene-Dielectric Hybrid Coatings
• The impact of nitrogen doping on the linear and nonlinear terahertz response of graphene
• Disorder and Interactions in Graphene and other Quantum Systems
• Electronic transport across realistic grain boundaries in graphene
• Tuning electronic properties and Schottky contact in graphene-based van der Waals heterostructures by electric gating and interlayer coupling
• Charge and energy transport in graphene with smooth finite-range disorder