• 文献标题:   Density dependent exchange contribution to partial derivative mu/partial derivative n and compressibility in graphene
  • 文献类型:   Article
  • 作  者:   HWANG EH, HU BYK, SARMA S
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007
  • 通讯作者地址:   Univ Maryland
  • 被引频次:   81
  • DOI:   10.1103/PhysRevLett.99.226801
  • 出版年:   2007

▎ 摘  要

We calculate partial derivative mu/partial derivative n (where mu=chemical potential and n=electron density), which is associated with the compressibility, in graphene as a function of n, within the Hartree-Fock approximation. The exchange-driven Dirac-point logarithmic singularity in the quasiparticle velocity of intrinsic graphene disappears in the extrinsic case. The calculated renormalized partial derivative mu/partial derivative n in extrinsic graphene on SiO(2) has the same n(-(1/2)) density dependence but is 20% larger than the inverse bare density of states, a relatively weak effect compared to the corresponding parabolic-band case. We predict that the renormalization effect can be enhanced to about 50% by changing the graphene substrate.