Coulomb interaction in graphene: Relaxation rates and transport
arXiv:1011.5217 · doi:10.1103/PhysRevB.83.155441
Abstract
We analyze the inelastic electron-electron scattering in undoped graphene within the Keldysh diagrammatic approach. We demonstrate that finite temperature strongly affects the screening properties of graphene, which, in turn, influences the inelastic scattering rates as compared to the zero-temperature case. Focussing on the clean regime, we calculate the quantum scattering rate which is relevant for dephasing of interference processes. We identify an hierarchy of regimes arising due to the interplay of a plasmon enhancement of the scattering and finite-temperature screening of the interaction. We further address the energy relaxation and transport scattering rates in graphene. We find a non-monotonic energy dependence of the inelastic relaxation rates in clean graphene which is attributed to the resonant excitation of plasmons. Finally, we discuss the temperature dependence of the conductivity at the Dirac point in the presence of both interaction and disorder. Our results complement the kinetic-equation and hydrodynamic approaches for the collision-limited conductivity of clean graphene and can be generalized to the treatment of physics of inelastic processes in strongly non-equilibrium setups.
arXiv comment28 pages, 16 figures
References in corpus (86)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Two Dimensional Atomic Crystals
- Ultrahigh electron mobility in suspended graphene
- Suspended Graphene: a bridge to the Dirac point
- Andreev reflection and Klein tunneling in graphene
- Observation of the Fractional Quantum Hall Effect in Graphene
- Weak localisation magnetoresistance and valley symmetry in graphene
- Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
- Quantum-limited shot noise in graphene
- Quantum Hall Ferromagnetism in Graphene
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Quantum transport of massless Dirac fermions in graphene
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
- Electronic transport in graphene: A semi-classical approach including midgap states
- Interactions and phase transitions on graphene's honeycomb lattice
- Weak localisation in graphene flakes
- Electron transport in disordered graphene
- Magnetic field driven metal-insulator phase transition in planar systems
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
- Keldysh technique and non-linear sigma-model: basic principles and applications
- The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
- Ghost excitonic insulator transition in layered graphite
- Demonstration of one-parameter scaling at the Dirac point in graphene
- Quantum critical transport in clean graphene
- Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
- Is graphene in vacuum an insulator?
- Dissipative Quantum Hall Effect in Graphene near the Dirac Point
- Topological delocalization of two-dimensional massless Dirac fermions
- Quantum critical scaling in graphene
- Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
- Shot Noise in Ballistic Graphene
- Unconventional quasiparticle lifetime in graphite
- Lattice field theory simulations of graphene
- Slow imbalance relaxation and thermoelectric transport in graphene
- Interaction effects and phase relaxation in disordered systems
- Quantum-critical relativistic magnetotransport in graphene
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Conductivity of the defectless Graphene
- Influence of trigonal warping on interference effects in bilayer graphene
- Inelastic carrier lifetime in graphene
- Quantum Critical Behaviour in a Graphene-like Model
- Graphene via large N I: Renormalization
- Excitonic instability in two-dimensional degenerate semimetals
- Conductivity and Fano factor in disordered graphene
- The effective fine structure constant of freestanding graphene measured in graphite
- Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
- Collective cyclotron motion of the relativistic plasma in graphene
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Diffusion and criticality in undoped graphene with resonant scatterers
- Interaction-induced magnetoresistance in a two-dimensional electron gas
- Massive Dirac fermions in single-layer graphene
- Charge transport in graphene with resonant scatterers
- Interaction corrections at intermediate temperatures: dephasing time
- Disorder and interaction effects in two dimensional graphene sheets
- Order from Disorder in Graphene Quantum Hall Ferromagnet
- Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
- Ballistic transport in disordered graphene
- Impurity-assisted tunneling in graphene
- Electron-electron interactions in the conductivity of graphene
- Coulomb Drag in Graphene
- Finite difference method for transport properties of massless Dirac fermions
- Coulomb interactions at quantum Hall critical points of systems in a periodic potential
- Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects
- Electron transport in disordered Luttinger liquid
- Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
- Interaction and excitonic insulating transition in graphene
- Inelastic Scattering Time for Conductance Fluctuations
- Universal scaling of current fluctuations in disordered graphene
- Mesoscopic conductance fluctuations in graphene
- Conductivity of disordered graphene at half filling
- Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
- Fractional Quantum Hall Effect in Suspended Graphene: Transport Coefficients and Electron Interaction Strength
- Coulomb drag as a measure of trigonal warping in doped graphene
- The effects of weak disorders on Quantum Hall critical points
- Integer and Fractional Quantum Hall Effect in Two-Terminal Measurements on Suspended Graphene
- Tunneling into Nonequilibrium Luttinger Liquid with Impurity
- Interaction effects on 2D fermions with random hopping
- Anderson Transitions: Criticality, Symmetries, and Topologies
- Relaxation processes in a disordered Luttinger liquid
- Nonequilibrium kinetics of a disordered Luttinger liquid
- Quantum interference and spin-charge separation in a disordered Luttinger liquid
- Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
Cited by in corpus (64)
- Hydrodynamics of electrons in graphene
- Coulomb drag
- 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
- Hydrodynamics in graphene: Linear-response transport
- Hydrodynamic approach to electronic transport in graphene
- Relaxation of Optically Excited Carriers in Graphene
- Collision-dominated nonlinear hydrodynamics in graphene
- Raman spectroscopy of graphene under ultrafast laser excitation
- Intrinsic plasmons in 2D Dirac materials
- Hydrodynamic approach to two-dimensional electron systems
- Electronic hydrodynamics in graphene
- Hydrodynamic-to-ballistic crossover in Dirac fluid
- Thermoelectric transport in double-Weyl semimetals
- Hydrodynamic electron transport and nonlinear waves in graphene
- Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
- Coulomb drag in graphene: perturbation theory
- Ballistic and hydrodynamic magnetotransport in narrow channels
- Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
- Conductivity of suspended graphene at the Dirac point
- Coulomb drag in graphene near the Dirac point
- Magnetohydrodynamics in graphene: shear and Hall viscosities
- Out-of-bounds hydrodynamics in anisotropic Dirac fluids
- Helical fluctuations in the Raman response of the topological insulator Bi2Se3
- Auger recombination in Dirac materials: A tangle of many-body effects
- Universal linear and nonlinear electrodynamics of the Dirac fluid
- Magnetoresistance of compensated semimetals in confined geometries
- Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
- Hydrodynamic collective modes in graphene
- Picosecond energy transfer in a transition metal dichalcogenide-graphene heterostructure revealed by transient Raman spectroscopy
- Energy relaxation in graphene and its measurement with supercurrent
- Carrier-carrier scattering and negative dynamic conductivity in pumped graphene
- Unified theory of spin-dynamics in a two dimensional electron gases with arbitrary spin-orbit coping strength at finite temperature
- Adiabatic amplification of plasmons and demons in 2D systems
- Hierarchy of Information Scrambling, Thermalization, and Hydrodynamic Flow in Graphene
- Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
- Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
- Electron energy and temperature relaxation in graphene on a piezoelectric substrate
- Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
- Kinetic theory of Coulomb drag in two monolayers of graphene: from the Dirac point to the Fermi liquid regime
- Hydrodynamic approach to electronic transport in graphene: energy relaxation
- Strong magnetoresistance of disordered graphene
- Quantum magnetooscillations in the ac conductivity of disordered graphene
- Optical conductivity in graphene: hydrodynamic regime
- Gate tunable quantum transport in double layer graphene
- Anti-Poiseuille flow in neutral graphene
- Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
- The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
- Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
- Energy drag in particle-hole symmetric systems as a quantum quench
- Coulomb drag between helical Luttinger liquids
- Stacking-configuration-enriched essential properties in bilayer silicenes
- Plasmonic Tuning of the Near Field Heat Transfer in Double Layer Graphene
- Universal properties of many-body quantum chaos at Gross-Neveu criticality
- Electronic viscosity and energy relaxation in neutral graphene
- Corbino magnetoresistance in neutral graphene
- Keldysh functional renormalization group for electronic properties of graphene
- Ultrafast exciton-polariton scattering towards the Dirac points
- Photoexcitation Cascade and Quantum-Relativistic Jets in Graphene
- The shear viscosity of interacting graphene
- Valley current in graphene through electron-phonon interaction
- Collision-dominated conductance in clean 2D metals
- Universality in Non-Equilibrium Quantum Systems
- Chemical-potential flow equations for graphene with Coulomb interactions