• 文献标题:   Dynamics of quasi-particles in graphene with impurities and sharp edges from the kp-method standpoint
  • 文献类型:   Article
  • 作  者:   KADIGROBOV AM
  • 作者关键词:   scattering of quasiparticles in graphene, weyl dirac equation, kpapproximation, green s function
  • 出版物名称:   LOW TEMPERATURE PHYSICS
  • ISSN:   1063-777X EI 1090-6517
  • 通讯作者地址:  
  • 被引频次:   0
  • DOI:   10.1063/10.0005555
  • 出版年:   2021

▎ 摘  要

Dynamics of quasi-particles in graphene with an impurity and a sharp edge is considered with the kp-method that allows an unified approach without usage of any models. Dirac and Weyl equations are derived by the above-mentioned method. The wave function and its envelope function together with the scattering amplitude are found in the Born approximation. The wave functions are shown to be a superposition of virtual Bloch functions which exponential decay outward from the impurity and the edge. At distances much greater that the atomic spacing the wave functions are explicitly presented. Green's functions for Shrodinger and Dirac equations are derived as well. Boundary conditions for the Dirac equation for graphene with a sharp edge are also derived.