Electron-electron interactions and doping dependence of the two-phonon Raman intensity in graphene

Abstract

Raman spectroscopy is a fast, non-destructive means to characterize graphene samples. In particular, the Raman spectra show a significant dependence on doping. While the change in position and width of the G peak can be explained by the non-adiabatic Kohn anomaly at $\Gamma$, the significant doping dependence of the 2D peak intensity has not been explained yet. Here we show that this is due to a combination of electron-phonon and electron-electron scattering. Under full resonance, the photogenerated electron-hole pairs can scatter not just with phonons, but also with doping-induced electrons or holes, and this changes the intensity. We explain the doping dependence and show how it can be used to determine the corresponding electron-phonon coupling. This is higher than predicted by density-functional theory, as a consequence of renormalization by Coulomb interactions.

Refs added, typos corrected, submitted to PRB

References in corpus (50)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• The Raman Fingerprint of Graphene
• Ultrahigh electron mobility in suspended graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• Control of graphene's properties by reversible hydrogenation
• Electrochemically Top Gated Graphene: Monitoring Dopants by Raman Scattering
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Suspended Graphene: a bridge to the Dirac point
• Room-Temperature Quantum Hall Effect in Graphene
• Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
• Making graphene visible
• Graphene Nano-Ribbon Electronics
• Graphene-Based Liquid Crystal Device
• Temperature dependent transport in suspended graphene
• Electric Field Effect Tuning of Electron-Phonon Coupling in Graphene
• A Graphene Field-Effect Device
• Raman Spectroscopy of Graphene Edges
• Raman Fingerprint of Charged Impurities in Graphene
• Rayleigh Imaging of Graphene and Graphene Layers
• Infrared spectroscopy of Landau levels in graphene
• Edge-functionalized and substitutional doped graphene nanoribbons: electronic and spin properties
• Non-adiabatic Kohn-anomaly in a doped graphene monolayer
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Probing the Intrinsic Properties of Exfoliated Graphene: Raman Spectroscopy of Free-Standing Monolayers
• Phonon anharmonicities in graphite and graphene
• Optical Phonons in Carbon Nanotubes: Kohn Anomalies, Peierls Distortions and Dynamic Effects
• Phonon Linewidths and Electron Phonon Coupling in Nanotubes
• Interference enhancement of Raman signal of graphene
• Probing the Electronic Structure of Bilayer Graphene by Raman Scattering
• Interference effect on Raman spectrum of graphene on SiO_2/Si
• Impact of the electron-electron correlation on phonon dispersions: failure of LDA and GGA functionals in graphene and graphite
• Evidence of structural strain in epitaxial graphene layers on 6H-SiC(0001)
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Ab initio GW many-body effects in graphene
• Electron Transport and Hot Phonons in Carbon Nanotubes
• Electron-phonon coupling and electron self-energy in electron-doped graphene: calculation of angular resolved photoemission spectra
• Theory of resonant multiphonon Raman scattering in graphene
• Observation of Anomalous Phonon Softening in Bilayer Graphene
• Ground-state of graphene in the presence of random charged impurities
• Nonlinear screening and ballistic transport in a graphene p-n junction
• Inelastic carrier lifetime in graphene
• Interplay of Coulomb and electron-phonon interactions in graphene
• Density-Functional Theory of Graphene Sheets
• Effect of disorder on a graphene p-n junction
• Phonon surface mapping of graphite: disentangling quasi--degenerate phonon dispersions
• Low energy excitations in graphite: The role of dimensionality and lattice defects
• Kohn anomaly and interplay of electron-electron and electron-phonon interactions in epitaxial graphene
• Effect of inelastic collisions on multiphonon Raman scattering in graphene
• Effect of linear density of states on the quasi-particle dynamics and small electron-phonon coupling in graphite

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