• 文献标题:   Nonequivalence of the step-like potentials between the tight-binding model and the Dirac equation description used in graphene study
  • 文献类型:   Article
  • 作  者:   TANG CL, ZHENG YS, LI GS, LI LP
  • 作者关键词:   graphene, steplike barrier, klein paradox
  • 出版物名称:   SOLID STATE COMMUNICATIONS
  • ISSN:   0038-1098 EI 1879-2766
  • 通讯作者地址:   Jilin Univ
  • 被引频次:   3
  • DOI:   10.1016/j.ssc.2008.09.013
  • 出版年:   2008

▎ 摘  要

In previous calculations about the electronic transport properties through a gated region in graphene, a step-like potential is frequently adopted to mimic the gated barrier in two different theoretical models, i.e. the tight-binding model and the Dirac equation description. Our theoretical investigation indicates that the same step-like potential but used in the two distinct models are not equivalent. In the Dirac equation, a step-like potential can not reflect the normally incident electron due to Klein paradox. However, in tight-binding model, such a potential includes the scattering terms which can destroy the pseudo-spin conservation to cause a finite reflection. Thus, the electron transmission is not perfect. (C) 2008 Elsevier Ltd. All rights reserved.