Quantum critical transport in clean graphene

Abstract

We describe electrical transport in ideal single-layer graphene at zero applied bias. There is a crossover from collisionless transport at frequencies larger than k_B T/hbar (T is the temperature) to collision-dominated transport at lower frequencies. The d.c. conductivity is computed by the solution of a quantum Boltzmann equation. Due to a logarithmic singularity in the collinear scattering amplitude (a consequence of relativistic dispersion in two dimensions) quasi-particles and -holes moving in the same direction tend to an effective equilibrium distribution whose parameters depend on the direction of motion. This property allows us to find the non-equilibrium distribution functions and the quantum critical conductivity exactly to leading order in 1/|ln(alpha)| where alpha is the coupling constant characterizing the Coulomb interactions.

19 pages, 1 figure; (v2) added comment on hydrodynamic long-time tails

References in corpus (17)

• Ultrahigh electron mobility in suspended graphene
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Unusual Microwave Response of Dirac Quasiparticles in Graphene
• Magnetic field driven metal-insulator phase transition in planar systems
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Non-zero temperature transport near quantum critical points
• Quantum critical scaling in graphene
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Conductivity of the defectless Graphene
• Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
• Graphene via large N I: Renormalization
• Screening of Coulomb Impurities in Graphene
• Coulomb impurity in graphene
• Nonzero temperature transport near fractional quantum Hall critical points
• Coulomb interactions at quantum Hall critical points of systems in a periodic potential

Cited by in corpus (230)

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• Electronic transport in two dimensional graphene
• Suspended Graphene: a bridge to the Dirac point
• Lectures on holographic methods for condensed matter physics
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• The optical conductivity of graphene in the visible region of the spectrum
• Recent developments in transport phenomena in Weyl semimetals
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Ultrafast collinear scattering and carrier multiplication in graphene
• Charge Transport in Weyl Semimetals
• Hydrodynamics of electrons in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Theory of interacting electrons on the honeycomb lattice
• Holographic quantum matter
• On the universal AC optical background in graphene
• Femtosecond Population Inversion and Stimulated Emission of Dense Dirac Fermions in Graphene
• Coulomb drag
• Optical transparency of graphene as determined by the fine-structure constant
• Higher-Than-Ballistic Conduction of Viscous Electron Flows
• Fluidity Onset in Graphene
• Slow imbalance relaxation and thermoelectric transport in graphene
• Enhanced Thermoelectric Power in Graphene: Violation of the Mott Relation By Inelastic Scattering
• Non-equilibrium dynamics of photo-excited electrons in graphene: collinear scattering, Auger processes, and the impact of screening
• Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene
• Quantum-critical relativistic magnetotransport in graphene
• Hydrodynamics in graphene: Linear-response transport
• Ground-state of graphene in the presence of random charged impurities
• Conductivity of the defectless Graphene
• Hot carriers in graphene -- fundamentals and applications
• Lattice generalization of the Dirac equation to general spin and the role of the flat band
• Hydrodynamic model for electron-hole plasma in graphene
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• The boundary conditions of viscous electron flow
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
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• Hydrodynamic approach to electronic transport in graphene
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• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• Non-linear electric transport in graphene: quantum quench dynamics and the Schwinger mechanism
• Condensed matter and AdS/CFT
• Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
• Hydrodynamic approach to two-dimensional electron systems
• Coulomb interaction in graphene: Relaxation rates and transport
• Effective medium theory for disordered two-dimensional graphene
• Electronic hydrodynamics in graphene
• Pre-Turbulent Regimes in Graphene Flows
• Hydrodynamic-to-ballistic crossover in Dirac fluid
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• Giant magnetoresistance of Dirac plasma in high-mobility graphene
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• Quantum criticality and black holes
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• Hall viscosity, topological states and effective theories
• Transport properties of strongly coupled electron-phonon liquids
• Coulomb drag in graphene: perturbation theory
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Out-of-equilibrium criticalities in graphene superlattices
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Interaction Induced Quantum Valley Hall Effect in Graphene
• Linking Spatial Distributions of Potential and Current in Viscous Electronics
• Conductivity of suspended graphene at the Dirac point
• The quasi-normal modes of quantum criticality
• Lifshitz Hydrodynamics
• Temperature dependence of the conductivity of ballistic graphene
• Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
• Giant Spin-Hall Effect induced by Zeeman Interaction in Graphene
• Coulomb drag in graphene near the Dirac point
• Magnetohydrodynamics in graphene: shear and Hall viscosities
• Insulating nature of strongly correlated massless Dirac fermions in an organic crystal
• Magnetic noise spectroscopy as a probe of local electronic correlations in two-dimensional systems
• Helical fluctuations in the Raman response of the topological insulator Bi2Se3
• Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
• Holography of the Dirac Fluid in Graphene with two currents
• Optical Response and Ground State of Graphene
• Theory of Coulomb drag for massless Dirac fermions
• Optical properties of graphene: the Fermi liquid approach
• Hydrodynamic Model for Conductivity in Graphene
• Auger recombination in Dirac materials: A tangle of many-body effects
• Electron-phonon hydrodynamics
• Magnetoresistance of compensated semimetals in confined geometries
• Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
• Particle Collisions and Negative Nonlocal Response of Ballistic Electrons
• Coulomb Drag Mechanisms in Graphene
• Diffusive transport in Weyl semimetals
• Absence of dynamical gap generation in suspended graphene
• Ballistic transport, chiral anomaly and emergence of the neutral electron - hole plasma in graphene
• Hyperscaling at the spin density wave quantum critical point in two dimensional metals
• Hydrodynamic collective modes in graphene
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• Turbulent hydrodynamics in strongly correlated Kagome metals
• Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
• Freely flowing currents and electric field expulsion in viscous electronics
• Energy relaxation in graphene and its measurement with supercurrent
• Sound waves and resonances in electron-hole plasma
• Quantum phase transitions in Dirac fermion systems
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• Theory of photoexcited and thermionic emission across a two-dimensional graphene-semiconductor Schottky junction
• Hall Drag and Magnetodrag in Graphene
• Hydrodynamic electron transport near charge neutrality
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• Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence
• Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
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• Progress in epitaxial thin-film Na3Bi as a topological electronic material
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Quantum Monte Carlo study of static potential in graphene
• Renormalization group analysis of multi-Dirac-node materials
• Shear viscosity at the Ising-nematic quantum critical point in two dimensional metals
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Weak momentum scattering and the conductivity of graphene
• Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Magnetothermoelectric Response near Quantum Critical Points
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• Thermal transport in compensated semimetals: a mystery explained
• Prospects for the detection of electronic pre-turbulence in graphene
• The landscape of the Hubbard model
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• Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
• Signature of Schwinger's pair creation rate via radiation generated in graphene by strong electric current
• Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
• Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
• Wiedemann-Franz law in graphene
• Kinetic theory of Coulomb drag in two monolayers of graphene: from the Dirac point to the Fermi liquid regime
• Signatures of the nematic ordering transitions in the thermal conductivity of d-wave superconductors
• Strong magnetoresistance of disordered graphene
• Interaction dominated transport and Coulomb drag in bilayer graphene
• Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene
• Surface transport coefficients for three-dimensional topological superconductors
• Anomalous terahertz photoconductivity caused by the superballistic flow of hydrodynamic electrons in graphene
• Transport in bilayer graphene near charge neutrality: Which scattering mechanisms are important?
• Hydrodynamic thermoelectric transport in Corbino geometry
• Optical conductivity in graphene: hydrodynamic regime
• Effect of anisotropic band curvature on carrier multiplication in graphene
• A comprehensive study of electric, thermoelectric and thermal conductivities of Graphene with short range unitary and charged impurities
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• Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
• Resonant scattering in graphene with a gate-defined chaotic quantum dot
• Gaussian Quadrature and Lattice Discretization of the Fermi-Dirac Distribution for Graphene
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Extreme electron-hole drag and negative mobility in the Dirac plasma of graphene
• Strongly coupled electron fluids in the Poiseuille regime
• Symmetry and optical selection rules in graphene quantum dots
• Nonlinear optical conductivity of a generic two band systems, with application to doped and gapped graphene
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Universality in quantum critical flow of charge and heat in ultra-clean graphene
• Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
• Rayleigh-Bénard Instability in Graphene
• Anti-Poiseuille flow in neutral graphene
• Plasmon anomaly in the dynamical optical conductivity of graphene
• Plasmonic shock waves and solitons in a nanoring
• The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
• Relativistic suppression of Auger recombination in Weyl semimetals
• Quantum Boltzmann equation for bilayer graphene
• Hydrodynamic electron transport in graphene Hall-bar devices
• Hydrodynamic transport in the Luttinger-Abrikosov-Beneslavskii non-Fermi liquid
• Transport properties of multilayer graphene
• Enhanced hydrodynamic transport in near magic angle twisted bilayer graphene
• Hydrodynamic magnetoresistance in graphene Corbino devices
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Quantum-Critical transport at a semimetal-to-insulator transition on the honeycomb lattice
• Relativistic dissipation obeys Chapman-Enskog asymptotics: analytical and numerical evidence as a basis for accurate kinetic simulations
• Taking a critical look at holographic critical matter
• Quantum aspects of "hydrodynamic" transport from weak electron-impurity scattering
• Failure of Kohn's theorem and the apparent failure of the $f$-sum rule in intrinsic Dirac-Weyl materials in the presence of a filled Fermi sea
• Interlayer electron-hole friction in tunable twisted bilayer graphene semimetal
• Fluctuation-driven thermal transport in graphene double-layers at charge neutrality
• Hot carriers in a bipolar graphene
• Collinear scattering of photoexcited carriers in graphene
• Two distinct ballistic processes in graphene at Dirac point
• On universality of charge transport in AdS/CFT
• Corbino magnetoresistance in neutral graphene
• Fate of electron beam in graphene: Coulomb relaxation or plasma instability?
• Hydrodynamic Inverse Faraday Effect in Two Dimensional Electron Liquid
• Fingerprints of quantum criticality in locally resolved transport
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Demystifying the Holographic Mystique
• Transient Charge and Energy Balance in Graphene Induced by Ultrafast Photoexcitation
• Collision-dominated spin transport in graphene and Fermi liquids
• Effects of Dissipation on Solitons in the Hydrodynamic Regime of Graphene
• Electric conductivity in non-Hermitian holography
• Quantum corrections to transport in graphene: a trajectory-based semiclassical analysis
• On the Adequacy of the Dynamical Mean Field Theory for Low Density and Dirac Materials
• Unruh Effect and Takagi's Statistics Inversion in Strained Graphene
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Thermal-radiation-induced nonequilibrium carriers in an intrinsic graphene
• Phonon-mediated Hydrodynamic Transport in a Weyl Semimetal
• Resonance Van Hove Singularities in Wave Kinetics
• Universal superdiffusive modes in charged two dimensional liquids
• Ultrafast exciton-polariton scattering towards the Dirac points
• Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
• Non-equilibrium conductivity at quantum critical points
• The dynamical origin of the graviton mass in the non-linear theory of massive gravity
• Thermal transfer enhancement by hydrodynamic plasmons in electron bilayers
• The shear viscosity of interacting graphene
• Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model
• Homogenization of hydrodynamic transport in Dirac fluids
• Theory of Conductivity of Chiral Particles
• Origin of the Temperature Collapse of the Electric Conductivity in Bilayer Graphene
• Collision-dominated conductance in clean 2D metals
• Momentum dissipation and holographic transport without self-duality
• Lorenz ratios of diagonal and Hall conductivities in a Dirac electron liquid
• Semiclassical conservation of spin and large transverse spin current in Dirac systems
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Accelerating analysis of Boltzmann equations using Gaussian mixture models: Application to quantum Bose-Fermi mixtures
• Intrinsic and extrinsic effects on intraband optical conductivity of hot carriers in photoexcited graphene
• Hydrodynamics of particle-hole symmetric systems: a quantum Monte Carlo study
• Current induced and interaction driven Dirac-point drag of massless quasi-relativistic fermions
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Electron-hole collision-limited resistance of gapped graphene
• Current enhancement due to field-induced dark carrier multiplication in graphene
• Turbulent flow in graphene
• Hydrodynamic Coulomb drag in odd electron liquids
• On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
• Post-transient relaxation in graphene after an intense laser pulse
• Scaling and interaction-assisted transport in graphene with one-dimensional defects
• Spin-caloric resistance of Dirac plasma in a graphene Corbino device
• Optical conductivity of a Dirac-Fermi liquid
• Giant intrinsic photoresponse in pristine graphene
• Geometric effects in the Dyakonov-Shur theory of Teraherz photodetection
• Fluctuation-induced giant magnetoresistance in charge-neutral graphene
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering