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.

arXiv commentAs published

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• Negative Thermal Expansion Coefficient of Graphene Measured by Raman Spectroscopy
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• Colloquium: Spintronics in graphene and other two-dimensional materials
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• A Primer on Surface Plasmon-Polaritons in Graphene
• Novel effects of strains in graphene and other two dimensional materials
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Tuneable electronic properties in graphene
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Nitrogen-Doped Graphene Sheets Grown by Chemical Vapor Deposition: Synthesis and Influence of Nitrogen Impurities on Carrier Transport
• Plasmonics in Dirac systems: from graphene to topological insulators
• 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
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• Generation of pure bulk valley current in graphene
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• Colloquium: Graphene spectroscopy
• Effective Theory of Floquet Topological Transitions
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• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Thermoelectric properties of atomic-thin silicene and germanene nano-structures
• Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices
• Non-equilibrium dynamics of photo-excited electrons in graphene: collinear scattering, Auger processes, and the impact of screening
• 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
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• 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
• Efficient graphene-based photodetector with two cavities
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• Effect of Point Defects on the Optical and Transport Properties of MoS2 and WS2
• Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
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• Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
• Evidence for spin-flip scattering and local moments in dilute fluorinated graphene
• Mechanism for graphene-based optoelectronic switches by tuning surface plasmon-polaritons in monolayer graphene
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• Critical delocalization of chiral zero energy modes in graphene
• Tunable topological Weyl semimetal from simple cubic lattices with staggered fluxes
• Octagraphene as a Versatile Carbon Atomic Sheet for Novel Nanotubes, Unconventional Fullerenes and Hydrogen Storage
• Valley separation in graphene by polarized light
• Transport through graphene on SrTiO3
• Chiral tunneling in single and bilayer graphene
• Linear Scaling Quantum Transport Methodologies
• Observation of Intra- and Inter-band Transitions in the Optical Response of Graphene
• Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
• Second Harmonic Generation in Graphene
• Theory of the plasma-wave photoresponse of a gated graphene sheet
• Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene
• Tunable graphene-based polarizer
• Electronic Transport in Disordered Bilayer and Trilayer Graphene
• Floquet-Engineered Valleytronics in Dirac Systems
• Comparison between charge and spin transport in few layer graphene
• Influence of correlated impurities on conductivity of graphene sheets: Time-dependent real-space Kubo approach
• Carrier screening, transport, and relaxation in 3D Dirac semimetals
• Complete light absorption in graphene-metamaterial corrugated structures
• Electron spin relaxation in graphene with random Rashba field: Comparison of D'yakonov-Perel' and Elliott-Yafet--like mechanisms
• Unusual reflection of electromagnetic radiation from a stack of graphene layers at oblique incidence
• Low frequency optical conductivity in graphene and in other scale-invariant two-band systems
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Quantum-Matter Heterostructures
• Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions
• Optical conductivity of disordered graphene beyond the Dirac cone approximation
• Active magneto-optical control of spontaneous emission in graphene
• Zigzag graphene nanoribbon edge reconstruction with Stone-Wales defects
• Coulomb drag between massless and massive fermions
• Quantum heat engine in the relativistic limit: The case of a Dirac particle
• Electronic band gaps and transport in aperiodic graphene superlattices of Thue-Morse sequence
• Dirac fermions in strong electric field and quantum transport in graphene
• Two-body scattering states in Minkowski space and the Nakanishi integral representation onto the null plane
• Transport properties of graphene with one-dimensional charge defects
• Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
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• Chirality-Assisted Electronic Cloaking in Bilayer Graphene Nanostructures
• Covariant conservation laws and the spin Hall effect in Dirac-Rashba systems
• Modeling Klein tunneling and caustics of electron waves in graphene
• Polar Kerr Effect and Time Reversal Symmetry Breaking in Bilayer Graphene
• Coulomb Drag and High Resistivity Behavior in Double Layer Graphene
• Geometrical and topological aspects of graphene and related materials
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• Curved Spacetimes and Curved Graphene: a status report of the Weyl-symmetry approach
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• Effect of charged line defects on conductivity in graphene: numerical Kubo and analytical Boltzmann approaches
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• Tunable optical absorption and interactions in graphene via oxygen plasma
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• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
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• Magnetic Correlations in Short and Narrow Graphene Armchair Nanoribbons
• On Coulomb drag in double layer systems
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• Noncommutative Graphene
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• Optical properties of the Hofstadter butterfly in the Moiré superlattice
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• Random gauge field effects on the conductivity of graphene sheets with disordered ripples
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• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
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• Dynamical Noncommutative Graphene
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• Disorder-induced dephasing in backscattering-free quantum transport
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• Catching the Bound States in the Continuum of a Phantom Atom in Graphene
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• Adatoms and Anderson localization in graphene
• Characterization and manipulation of intervalley scattering induced by an individual monovacancy in graphene
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• Strain engineering the charged-impurity-limited carrier mobility in phosphorene
• Optical Transparency in an effective model for Graphene
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• Dyson-Schwinger approach to strongly coupled theories
• The Casimir effect in graphene systems: Experiment and theory
• Local moment formation in bilayer graphene
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Role of acoustic phonons in frequency dependent thermal conductivity of graphene
• Non-volatile memory and IR radiation modulators based upon graphene-on-ferroelectric substrate. A review
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Intermediate Phase in Interacting Dirac Fermions with Staggered Potential
• Laser-induced etching of few-layer graphene synthesized by Rapid-Chemical Vapour Deposition on Cu thin films
• Effect of vacuum polarization of charged massive fermions in an Aharonov--Bohm field
• Valley and Zeeman Splittings in Multilayer Epitaxial Graphene Revealed by Circular Polarization Resolved Magneto-infrared Spectroscopy
• Cloaking Resonant Scatterers and Tuning Electron Flow in Graphene
• Radiative dynamical mass of planar charged fermion in a constant homogeneous magnetic field
• Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
• Optical Dichroism by Nonlinear Excitations in Graphene Nanoribbons
• Effective contact model for geometry-independent conductance calculations in graphene
• Two distinct ballistic processes in graphene at Dirac point
• ${\sigma }_h$ symmetry and electron-phonon interaction in two-dimensional crystalline systems
• Tunneling states in graphene heterostructures consisting of two different graphene superlattices
• Density of States Analysis of Electrostatic Confinement in Gapped Graphene
• Multiple crossing of Landau levels of two-dimensional fermions in double HgTe quantum wells
• Controllable intrinsic DC spin/valley Hall conductivity in ferromagnetic silicene: Exploring a fully spin/valley polarized transport
• Negative differential transmission in graphene
• Generation-recombination processes via acoustic phonons in a disorded graphene
• Optical Conductivity in an effective model for Graphene: Finite temperature corrections
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Feshbach-type resonances for two-particle scattering in graphene
• Depletion of carriers and negative differential conductivity in an intrinsic graphene under a dc electric field
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
• Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials
• Antibonding Ground state of Adatom Molecules in Bulk Dirac Semimetals
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Pumping electrons in graphene to the $\mathbf{M}$-point in the Brillouin zone: The emergence of anisotropic plasmons
• On the convergence of the polarization tensor in space-time of three dimensions
• Particle Transport in Graphene Nanoribbon Driven by Ultrashort Pulses
• Keldysh functional renormalization group for electronic properties of graphene
• Magnetoplasmons and SU(4) symmetry in graphene
• A Fortran 90 Hartree-Fock program for one-dimensional periodic $\pi$-conjugated systems using Pariser-Parr-Pople model
• Shot noise in a harmonically driven ballistic graphene transistor
• The phase diagram of a two-dimensional dirty tilted Dirac semimetal
• Magnetic field driven instability in planar NJL model in real-time formalism
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Magnetism of an adatom on biased AA-stacked bilayer graphene
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Long-wavelength optical phonon behavior in uniaxial strained graphene: Role of electron-phonon interaction
• Theoretical analysis of the density of states of graphene at high magnetic field using Haldane pseudopotentials
• Interplay of resonant states and Landau levels in functionalized graphene
• Nonlinear electric transport in graphene with magnetic disorder
• Wavepacket representation of leads for efficient simulations of time-dependent electronic transport
• Quantum Field Theory Approach to the Optical Conductivity of Strained and Deformed Graphene
• Dissipative properties of relativistic two-dimensional gases
• On elastic scattering amplitude of planar charged fermions in a constant magnetic field
• Signature of pseudo-diffusive transport in mesoscopic topological insulators
• Chiral filtering in graphene with coupled valleys
• Continuum limits for discrete Dirac operators on 2D square lattices
• Free electron nanolaser based on the graphene plasmons
• Photon emission in the graphene under the action of a quasiconstant external electric field
• Integer quantum Hall effect in AAA-stacked trilayer graphene
• Coulomb drag between two graphene layers at different temperatures
• Quasi-stationary states and fermion pair creation from a vacuum in supercritical Coulomb field
• Maximum reflectance and transmittance of films coated with gapped graphene in the context of Dirac model
• Iterative approach to arbitrary nonlinear optical response functions of graphene
• Origins of Valley Current Reversal in Partially Overlapped Graphene Layers
• The influence of anisotropic Rashba spin-orbit coupling on current-induced spin polarization in graphene
• Scanning gate microscopy in graphene nanostructures
• Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation
• The graphene sheet versus the 2DEG: a relativistic Fano spin-filter via STM and AFM tips
• Quantum criticality and optical conductivity in a two-valley system
• Charge screening and carrier transport in AA-stacked bilayer graphene: tuning via a perpendicular electric field
• Barrier tunneling of the Loop-Nodal Semimetal in the Hyperhoneycomb lattice
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• Two-dimensional Dirac semimetals with tunable edge states
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
• Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphene nanoribbons
• Strong localization in a suspended monolayer graphene by intervalley scattering
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• States of charged quantum fields and their statistical properties in the presence of critical potential steps
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Collective resonances near zero energy induced by a point defect in bilayer graphene
• Controlling Spin-Polarization in Graphene by Cloaking Magnetic and Spin-Orbit Scatterers
• Nature of single-particle states in disordered graphene
• Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Magnetoresistance of composites based on graphitic disks and cones
• 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
• Relativistic Black-Scholes model
• Designer spin-orbit superlattices: symmetry-protected Dirac cones and spin Berry curvature in two-dimensional van der Waals metamaterials
• Strain- and doping-tunable optical resonance in Kekulé-Y graphene
• Diffusion of photoexcited carriers in graphene
• A Green's function approach to transmission of massless Dirac fermions in graphene through an array of random scatterers
• Critical properties of three-dimensional many-flavour QEDs
• Phonon-limited transport coefficients in extrinsic graphene
• Graphene: Junctions and STM Spectra
• Continuous-distribution puddle model for conduction in trilayer graphene
• Effect of resonant impurity scattering of carriers on Drude peak broadening in uniaxially strained graphene
• Effect of Inter-Adatoms Correlations on the Local Density of States of Graphene
• Graphene resistivity in diffusive limit due to scalar and vector potential electron-phonon scattering
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Low-field magnetotransport in graphene cavity devices
• Four-terminal voltage fluctuations in disordered graphene nanoribbons: Anderson and anomalous localization effects
• Quantum confinement in Dirac-like nanostructures
• The numerical operator method to the real time dynamics of currents through the nanostructures with different topologies
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Particle creation in cosmological space-time by a time-dependent electric field
• Bridging the gap between numerics and experiment in free standing graphene
• Chemical sensing with graphene: A quantum field theory perspective
• Strength of the dominant scatterer in graphene on silicon oxide
• Electronic transport in graphene with particle-hole-asymmetric disorder
• On the interpretation of manifold ultrafast dynamics in supported graphene
• Effect of fluorine patterns on electronic transport in fluorinated graphene
• Disorder-enabled directional delocalization and wave steering in time-modulated Dirac materials
• Two Dimensional Honeycomb Materials: random fields, dissipation and fluctuations
• Electronic transport across realistic grain boundaries in graphene
• Optical conductivity of a Dirac-Fermi liquid
• The impact of nitrogen doping on the linear and nonlinear terahertz response of graphene
• Constructing a nanoscale optical polarizer with a graphene stack
• Environmental Sensitivity of Fabry-Perot Microcavities Induced By Layered Graphene-Dielectric Hybrid Coatings
• Strong magnetoresistance in a graphene Corbino disk at low magnetic fields
• Ballistic conductivity of graphene channel with p-n junction on ferroelectric domain wall
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Tuning electronic properties and Schottky contact in graphene-based van der Waals heterostructures by electric gating and interlayer coupling
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Disorder and Interactions in Graphene and other Quantum Systems
• Charge and energy transport in graphene with smooth finite-range disorder
• Surface acoustic wave-driven valley current generation in intervalley coherent states
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model