Distinguishing Coulomb and electron-phonon interactions for massless Dirac fermions

Abstract

While many physical properties of graphene can be understood qualitatively on the basis of bare Dirac bands, there is specific evidence that electron-electron (EE) and electron-phonon (EP) interactions can also play an important role. We discuss strategies for extracting separate images of the EE and EP interactions as they present themselves in the electron spectral density and related self-energies. While for momentum, $k$, equal to its Fermi value, $k_F$, a composite structure is obtained which can be difficult to separate into its two constituent parts, at smaller values of $k$ the spectral function shows distinct incoherent sidebands on the left and right of the main quasiparticle line. These image respectively the EE and EP interactions, each being most prominent in its own energy window. We employ a maximum entropy inversion technique on the self energy to reveal the electron-phonon spectral density separate from the excitation spectrum due to coulomb correlations. Our calculations show that this technique can provide important new insights into inelastic scattering processes in graphene.

25 pages, 10 figures

References in corpus (22)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Measurement of the Optical Conductivity of Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Velocity Renormalization and Carrier Lifetime in Graphene from Electron-Phonon Interaction
• Chirality and Correlations in Graphene
• Cyclotron resonance in bilayer graphene
• Infrared spectroscopy of electronic bands in bilayer graphene
• Optical conductivity of bilayer graphene with and without an asymmetry gap
• Electron-Phonon Interactions in Graphene, Bilayer Graphene, and Graphite
• Dirac electronic states in graphene systems: Optical spectroscopy studies
• The quasiparticle spectral function in doped graphene
• Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8 Superconductor by Laser-Based Angle-Resolved Photoemission
• First-Principles Study of Electron Linewidths in Graphene
• Kohn anomaly and interplay of electron-electron and electron-phonon interactions in epitaxial graphene
• The infrared conductivity of graphene
• Finite band inversion of ARPES in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in comparison with optics
• Eliashberg Analysis of Optical Spectra Reveals Strong Coupling of Charge Carriers to Spin Fluctuations in Superconducting Iron Pnictides

Cited by in corpus (4)

• Graphene plasmonics
• Electron-phonon correlations on spin texture of gapped helical Dirac Fermions
• Effect of Dynamical Screening on Single Particle Spectral Features of Uniaxially Strained Graphene: Tuning the Plasmaron Ring
• Many-body fermionic excitations in Weyl semimetals due to elastic gauge fields