Conductivity of suspended and non-suspended graphene at finite gate voltage
arXiv:0809.2578 · doi:10.1103/PhysRevB.78.085418
Abstract
We compute the DC and the optical conductivity of graphene for finite values of the chemical potential by taking into account the effect of disorder, due to mid-gap states (unitary scatterers) and charged impurities, and the effect of both optical and acoustic phonons. The disorder due to mid-gap states is treated in the coherent potential approximation (CPA, a self-consistent approach based on the Dyson equation), whereas that due to charged impurities is also treated via the Dyson equation, with the self-energy computed using second order perturbation theory. The effect of the phonons is also included via the Dyson equation, with the self energy computed using first order perturbation theory. The self-energy due to phonons is computed both using the bare electronic Green's function and the full electronic Green's function, although we show that the effect of disorder on the phonon-propagator is negligible. Our results are in qualitative agreement with recent experiments. Quantitative agreement could be obtained if one assumes water molelcules under the graphene substrate. We also comment on the electron-hole asymmetry observed in the DC conductivity of suspended graphene.
arXiv comment13 pages, 11 figures
References in corpus (38)
- Electric Field Effect in Atomically Thin Carbon Films
- 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
- Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
- Suspended Graphene: a bridge to the Dirac point
- Graphene-Based Liquid Crystal Device
- Charged Impurity Scattering in Graphene
- Electronic Properties of Disordered Two-Dimensional Carbon
- A self-consistent theory for graphene transport
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Universal dynamical conductance in graphite
- Quantum-limited shot noise in graphene
- A new electromagnetic mode in graphene
- Quantum Hall Ferromagnetism in Graphene
- Space-time dispersion of graphene conductivity
- Phase Coherent Transport of Charges in Graphene Quantum Billiard
- Quantum transport of massless Dirac fermions in graphene
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Disorder Induced Localized States in Graphene
- Electronic transport in graphene: A semi-classical approach including midgap states
- Unusual Microwave Response of Dirac Quasiparticles in Graphene
- Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
- Magnetic field driven metal-insulator phase transition in planar systems
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- On the minimal conductivity of graphene
- Sum Rules for the Optical and Hall Conductivity in Graphene
- Electron-Phonon Coupling and Raman Spectroscopy in Graphene
- Anomalous Absorption Line in the Magneto-Optical Response of Graphene
- Random resistor network model of minimal conductivity in graphene
- Phenomenological study of the electronic transport coefficients of graphene
- Optical properties of graphene antidot lattices
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Effect of Holstein phonons on the electronic properties of graphene
- Transport regimes in surface disordered graphene sheets
- Transport in a Clean Graphene Sheet at Finite Temperature and Frequency
- A simple model for the vibrational modes in honeycomb lattices
- Conductivity of graphene: How to distinguish between samples with short and long range scatterers
Cited by in corpus (64)
- Electronic transport in two dimensional graphene
- Plasmonics in graphene at infra-red frequencies
- Colloquium: The transport properties of graphene: An introduction
- The optical conductivity of graphene in the visible region of the spectrum
- Electrodynamics of Correlated Electron Materials
- Infrared nanoscopy of Dirac plasmons at the graphene-SiO2 interface
- Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
- Plasmonics in Dirac systems: from graphene to topological insulators
- Approaching the Limits of Transparency and Conductivity in Graphitic Materials through Lithium Intercalation
- On the universal AC optical background in graphene
- Colloquium: Graphene spectroscopy
- Casimir interaction between a perfect conductor and graphene described by the Dirac model
- Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids
- Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
- Dirac electronic states in graphene systems: Optical spectroscopy studies
- Optical response of graphene under intense terahertz fields
- Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
- Observation of Intra- and Inter-band Transitions in the Optical Response of Graphene
- Optical Conductivity of Twisted Bilayer Graphene
- Tuning many-body interactions in graphene: The effects of doping on excitons and carrier lifetimes
- Hydrodynamic theory of transport in doped graphene
- Excitonic effects in the optical conductivity of gated graphene
- Dynamics of the particle - hole pair creation in graphene
- Unusual reflection of electromagnetic radiation from a stack of graphene layers at oblique incidence
- Optical conductivity of disordered graphene beyond the Dirac cone approximation
- Effect of electron-phonon interaction on spectroscopies in graphene
- Effect of Coulomb interactions on the optical properties of doped graphene
- Nonlinear photocurrents in two-dimensional systems based on graphene and boron nitride
- Enhancing the absorption of graphene in the terahertz range
- Exact solution for square-wave grating covered with graphene: Surface plasmon-polaritons in the THz range
- Charged-phonon theory and Fano effect in the optical spectroscopy of bilayer graphene
- Tunable optical absorption and interactions in graphene via oxygen plasma
- Dirac electrons in graphene-based quantum wires and quantum dots
- Effects of optical and surface polar phonons on the optical conductivity of doped graphene
- Dopant-induced plasmon decay in graphene
- Magneto-optical conductivity in graphene including electron-phonon coupling
- Density of states in graphene with vacancies: midgap power law and frozen multifractality
- Electrical conductivity in graphene with point defects
- Absorption of circular polarized light in tilted Type-I and II Weyl semimetals
- Resonant and non-dissipative tunneling in independently contacted graphene structures
- Electronic doping of graphene by deposited transition metal atoms
- Nonlinear optical response of doped mono- and bilayer graphene: length gauge tight-binding model
- Polaronic signatures and spectral properties of graphene antidot lattices
- Chiral Polaron Formation in Graphene
- Effect of impurities in high-symmetry lattice positions on the local density of states and conductivity of graphene
- Electron-phonon coupling in graphene antidot lattices: an indication of polaronic behavior
- Optical and transport gaps in gated bilayer graphene
- Zone-Boundary Phonon Induced Mini Band Gap Formation in Graphene
- Interplay of intra- and interband absorption in a disordered graphene
- Piezoconductivity of gated suspended graphene
- Transverse current current response of graphene at finite temperature, plasmons and absorption
- Screening effect on the optical absorption in graphene and metallic monolayers
- Plasmon anomaly in the dynamical optical conductivity of graphene
- Spectral and optical properties of doped graphene with charged impurities in the self-consistent Born approximation
- Graphene plasmons: impurities and nonlocal effects
- Effect of Holstein phonons on the optical conductivity of gapped graphene
- Generation-recombination processes via acoustic phonons in a disorded graphene
- Impact of Electron-Phonon Coupling on Near-Field Optical Spectra
- In-plane optical phonon modes of current-carrying graphene
- Tracking Quasiparticle Energies in Graphene with Near Field Optics
- Koshino-Taylor effect in graphene
- Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
- Strain- and doping-tunable optical resonance in Kekulé-Y graphene
- Optical conductivity of a Dirac-Fermi liquid