• 文献标题:   Polarization charge distribution in gapped graphene: Perturbation theory and exact diagonalization analysis
  • 文献类型:   Article
  • 作  者:   KOTOV VN, PEREIRA VM, UCHOA B
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Boston Univ
  • 被引频次:   60
  • DOI:   10.1103/PhysRevB.78.075433
  • 出版年:   2008

▎ 摘  要

We study the distribution of vacuum polarization charge induced by a Coulomb impurity in massive graphene. By analytically computing the polarization function, we show that the charge density is distributed in space in a nontrivial fashion and on a characteristic length-scale set by the effective Compton wavelength. The density crosses over from a logarithmic behavior below this scale to a power-law variation above it. Our results in the continuum limit are confirmed by explicit diagonalization of the corresponding tight-binding model on a finite-size lattice. Electron-electron interaction effects are also discussed.