• 文献标题:   Electron States in Single-Layer Graphene Containing Short-Range Defects: The Potential Separable in the Momentum Representation
  • 文献类型:   Article
  • 作  者:   KTITOROV SA, KUZMIN YI, FIRSOVA NE
  • 作者关键词:  
  • 出版物名称:   SEMICONDUCTORS
  • ISSN:   1063-7826 EI 1090-6479
  • 通讯作者地址:   Russian Acad Sci
  • 被引频次:   0
  • DOI:   10.1134/S1063782611090120
  • 出版年:   2011

▎ 摘  要

Electron states in single-layer graphene containing short-range defects are studied. A model potential concentrated on a circle and asymmetric with respect to the band number is treated. The study is carried out for the (2 + 1)-dimensional Dirac equation with a potential separable in the angular momentum representation. The characteristic equation derived in the study for bound and resonance states is compared with the equation derived previously for the same system by another method. The momentum representation used in this study provides a means for satisfactorily regularizing the Hadamard-incorrect problem with a singular potential. The method developed here is applied to regularization of the previously derived formulas for the scattering parameters and conductivity in graphene. DOI: 10.1134/S1063782611090120