• 文献标题:   The electron many-body problem in graphene
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   UCHOA B, REED JP, GAN Y, JOE YI, FRADKIN E, ABBAMONTE P, CASA D
  • 作者关键词:  
  • 出版物名称:   PHYSICA SCRIPTA
  • ISSN:   0031-8949 EI 1402-4896
  • 通讯作者地址:   Univ Illinois
  • 被引频次:   2
  • DOI:   10.1088/0031-8949/2012/T146/014014
  • 出版年:   2012

▎ 摘  要

We give a brief summary of the current status of the electron many-body problem in graphene. We claim that graphene has intrinsic dielectric properties which should dress the interactions among the quasiparticles, and may explain why the observation of electron-electron renormalization effects has been so elusive in the recent experiments. We argue that the strength of Coulomb interactions in graphene may be characterized by an effective fine structure constant given by alpha(star) (k, omega) equivalent to 2.2/epsilon(k, omega), where epsilon(k, omega) is the dynamical dielectric function. At long wavelengths, alpha(star) (k, omega) appears to have its smallest value in the static regime, where alpha(star) (k -> 0, 0) approximate to 1/7 according to recent inelastic x-ray measurements, and the largest value in the optical limit, where alpha(star) (0, omega) approximate to 2.6. We conclude that the strength of Coulomb interactions in graphene is not universal, but is highly dependent on the scale of the phenomenon of interest. We propose a prescription in order to reconcile different experiments.