f-sum rule and unconventional spectral weight transfer in graphene

2008/06/30 by J. Sabio, Johan Nilsson, J. Nilsson +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Graphene #Graphene research and applications #Mathematics #Particle physics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Sum rule in quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.78.075410

published as Phys. Rev. B 78, 075410 (2008) · 10 pages, 3 figures; typos corrected, references added

openalex publication_date 2008/08/11 · arxiv created 2008/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive and analyze the f-sum rule for a two-dimensional 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 interband transitions while other excitations produce subleading behavior. The f-sum rule provides strong constraints for theories of interacting electrons in graphene.

Citations

• Dielectric function, screening, and plasmons in two-dimensional graphene
• Plasmons and the spectral function of graphene
• Nonuniversality of the dispersion interaction: analytic benchmarks for van der Waals energy functionals
• Sum rules for the optical and Hall conductivity in graphene
• On the f sum rule and its extensions
• Electron-electron interactions in the vacuum polarization of graphene
• Origin of the energy bandgap in epitaxial graphene

Cited by

• Bulk and shear viscosities of the two-dimensional electron liquid in a doped graphene sheet