Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene

Abstract

We show that Friedel oscillations (FO) in grapehene are strongly affected by the chirality of electrons in this material. In particular, the FO of the charge density around an impurity show a faster, $1/r^3$, decay than in conventional 2D electron systems and do not contribute to a linear temperature-dependent correction to the resistivity. In contrast, the FO of the exchange field which surrounds atomically sharp defects breaking the hexagonal symmetry of the honeycomb lattice lead to a negative linear T dependence of the resistivity.

5 pages LaTeX; a note added in conclusions concerning the RKKY interaction

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• Quantum Hall Ferromagnetism in Graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene

Cited by in corpus (52)

• Intrinsic and Extrinsic Performance Limits of Graphene Devices on SiO2
• Charged Impurity Scattering in Graphene
• Carrier transport in 2D graphene layers
• A self-consistent theory for graphene transport
• Temperature dependent transport in suspended graphene
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• A new electromagnetic mode in graphene
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Electron scattering on microscopic corrugations in graphene
• Electron transport in disordered graphene
• Non-linear electromagnetic response of graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Optical and magneto-optical far-infrared properties of bilayer graphene
• The Coulomb impurity problem in graphene
• Localized Magnetic States in Graphene
• Screening induced temperature dependent transport in 2D graphene
• Diluted Graphene Antiferromagnet
• Mobility in Semiconducting Graphene Nanoribbons: Phonon, Impurity, and Edge Roughness Scattering
• Adsorbate-limited conductivity of graphene
• Tuning the electronic structure of graphene by ion irradiation
• Dynamical polarization, screening, and plasmons in gapped 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
• Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
• Quasiparticle Chirality in Epitaxial Graphene Probed at the Nanometer Scale
• Influence of trigonal warping on interference effects in bilayer graphene
• Screening of a hypercritical charge in graphene
• Boltzmann transport and residual conductivity in bilayer graphene
• Long-Range Interaction Between Adatoms in Graphene
• Effect of a single impurity on the local density of states in monolayer and bilayer graphene
• Diffusive Charge Transport in Graphene on SiO2
• Theory of charged impurity scattering in two dimensional graphene
• Resonant low-energy electron scattering on short-range impurities in graphene
• Effective medium theory for disordered two-dimensional graphene
• Scattering mechanisms and Boltzmann transport in graphene
• Polarization Charge Distribution in Gapped Graphene
• Electron waves in chemically substituted graphene
• Transport in suspended graphene
• Electronic Properties Close to Dirac Cone in Two-Dimensional Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Statistics of random voltage fluctuations and the low-density residual conductivity of graphene
• Electric Transport Theory of Dirac Fermions in Graphene
• Graphene magnetoresistance in a parallel magnetic field: Spin polarization effect
• Modeling vacancies and hydrogen impurities in graphene: A molecular point of view
• Local density of states and scanning tunneling currents in graphene
• Thermo-Electric Power of Dirac Fermions in Graphene
• Scanning Tunneling Microscopy currents on locally disordered graphene
• Effect of impurities in high-symmetry lattice positions on the local density of states and conductivity of graphene
• Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
• On the effect of weak disorder on the density of states in graphene
• Local impurity effects in superconducting graphene
• Signature of chirality in scanning-probe imaging of charge flow in graphene
• Spatially inhomogeneous states of charge carrier in graphene