f-Sum Rule and Unconventional Spectral Weight Transfer in Graphene

Abstract

We derive and analyze the f-sum rule for a two-dimensional (2D) system of interacting electrons whose behavior is described by the Dirac equation. We apply the sum rule to analyze the spectral weight transfer in graphene within different approximations discussed in the literature. We find that the sum rule is generically dominated by inter-band transitions while other excitations produce sub-leading behavior. The f-sum rule provides strong constraints for theories of interacting electrons in graphene.

10 pages, 3 figures; typos corrected, references added

References in corpus (11)

• Chiral tunneling and the Klein paradox in graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• The Coulomb impurity problem in graphene
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Sum Rules for the Optical and Hall Conductivity in Graphene
• Origin of the energy bandgap in epitaxial graphene
• Electrostatic interactions between graphene layers and their environment
• The quasiparticle spectral function in doped graphene
• Charge response function and a novel plasmon mode in graphene
• Electron-Electron Interactions in the Vacuum Polarization of Graphene

Cited by in corpus (29)

• Graphene Plasmonics: Challenges and Opportunities
• On the universal AC optical background in graphene
• Colloquium: Graphene spectroscopy
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Linear response of doped graphene sheets to vector potentials
• Origin of Universal Optical Conductivity and Optical Stacking Sequence Identification in Multilayer Graphene
• Cooper pairing of electrons and holes in graphene bilayer: Correlation effects
• Optical evidence of surface state suppression in Bi based topological insulators
• Linear optical conductivity of chiral multifold fermions
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• Dynamical current-current correlation of the hexagonal lattice and graphene
• Dynamical current-current susceptibility of gapped graphene
• Infrared electrodynamics and ferromagnetism in the topological semiconductors Bi${}_2$Te${}_3$ and Mn-doped Bi${}_2$Te${}_3$
• Moiré lattice effects on the orbital magnetic response of twisted bilayer graphene and Condon instability
• Magnetic phases from competing Hubbard and extended Coulomb interactions in twisted bilayer graphene
• Effects of heterostrain and lattice relaxation on optical conductivity of twisted bilayer graphene
• Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
• Screening properties and plasmons of Hg(Cd)Te quantum wells
• Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
• Probing Layer Localization in Twisted Graphene Bilayers via Cyclotron Resonance
• Drude weight, plasmon dispersion, and pseudospin response in doped graphene sheets
• Gauge-invariant cutoff for Dirac electron systems with a vector potential
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Collective spin oscillations in a magnetized graphene sheet
• Ab initio study of angle-resolved electron reflection spectroscopy of few-layer graphene
• 3D massive Dirac fermions with chemical potential in external magnetic field: Current-current correlation function
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry
• Universal absorption of two-dimensional systems