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.
28 pages, 16 figures
References in corpus (51)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of 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
- Weak localisation magnetoresistance and valley symmetry 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
- 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
- Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking 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
- Shot Noise in Ballistic Graphene
- Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
- Lattice field theory simulations of graphene
- Slow imbalance relaxation and thermoelectric transport in graphene
- 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
- Conductivity and Fano factor in disordered graphene
- 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
- 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
- Coulomb Drag in Graphene
- Finite difference method for transport properties of massless Dirac fermions
- 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
- Conductivity of disordered graphene at half filling
- Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
- 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 (18)
- Hydrodynamics of electrons in graphene
- Hydrodynamics in graphene: Linear-response transport
- Hydrodynamic approach to two-dimensional electron systems
- Finite temperature inelastic mean free path and quasiparticle lifetime in graphene
- Hydrodynamic collective modes in graphene
- Picosecond energy transfer in a transition metal dichalcogenide-graphene heterostructure revealed by transient Raman spectroscopy
- Carrier-carrier scattering and negative dynamic conductivity in pumped graphene
- Hydrodynamic approach to electronic transport in graphene: energy relaxation
- Gate tunable quantum transport in double layer graphene
- Anti-Poiseuille flow in neutral graphene
- The intrinsic charge and spin conductivities of doped graphene in the Fermi-Liquid regime
- Coulomb drag between helical Luttinger liquids
- Plasmonic Tuning of the Near Field Heat Transfer in Double Layer Graphene
- Electronic viscosity and energy relaxation in neutral graphene
- Corbino magnetoresistance in neutral graphene
- Keldysh functional renormalization group for electronic properties of graphene
- The shear viscosity of interacting graphene
- Universality in Non-Equilibrium Quantum Systems