• 文献标题:   A transfer matrix approach to electron transport in graphene through arbitrary electric and magnetic potential barriers
  • 文献类型:   Article
  • 作  者:   GROVER S, GHOSH S, SHARMA M
  • 作者关键词:  
  • 出版物名称:   MODELLING SIMULATION IN MATERIALS SCIENCE ENGINEERING
  • ISSN:   0965-0393 EI 1361-651X
  • 通讯作者地址:   Indian Inst Technol Delhi
  • 被引频次:   8
  • DOI:   10.1088/0965-0393/20/4/045010
  • 出版年:   2012

▎ 摘  要

A transfer matrix method is presented for solving the scattering problem for the quasi-one-dimensional massless Dirac equation applied to graphene in the presence of an arbitrary inhomogeneous electric and perpendicular magnetic field. It is shown that parabolic cylindrical functions, which have previously been used in the literature, become inaccurate at high incident energies and low magnetic fields. A series expansion technique is presented to circumvent this problem. An alternate method using asymptotic expressions is also discussed and the relative merits of the two methods are compared.