• 文献标题:   Supercritical instability in graphene with two charged impurities
  • 文献类型:   Article
  • 作  者:   SOBOL OO, GORBAR EV, GUSYNIN VP
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Taras Shevchenko Natl Kiev Univ
  • 被引频次:   13
  • DOI:   10.1103/PhysRevB.88.205116
  • 出版年:   2013

▎ 摘  要

We study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles. Attention is paid to a situation when charges of impurities are subcritical, whereas their total charge exceeds a critical one. The critical distance R-cr in the system of two charged centers is defined as that at which the electron bound state with the lowest energy reaches the boundary of the lower continuum. A variational calculation of the critical distance R-cr separating the supercritical (R < R-cr) and subcritical (R > R-cr) regimes is carried out. It is shown that the critical distance R-cr increases as the quasiparticle gap decreases. The energy and width of a quasistationary state as functions of the distance between two impurities are derived in the quasiclassical approximation.