• 文献标题:   Electron mobility in graphene without invoking the Dirac equation
  • 文献类型:   Article
  • 作  者:   ULLAL CK, SHI J, SUNDARARAMAN R
  • 作者关键词:  
  • 出版物名称:   AMERICAN JOURNAL OF PHYSICS
  • ISSN:   0002-9505 EI 1943-2909
  • 通讯作者地址:   Rensselaer Polytech Inst
  • 被引频次:   5
  • DOI:   10.1119/1.5092453
  • 出版年:   2019

▎ 摘  要

The Dirac point and linear band structure in graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene often invoke the masslessness of electrons based on the effective relativistic Dirac-equation behavior, which are inaccessible to most undergraduate students and are not intuitive for non-physics researchers unfamiliar with relativity. Here, we show how to use only basic concepts from semiconductor theory and the linear band structure of graphene to explain its unusual effective mass and mobility, and compare them with conventional metals and semiconductors. We discuss the more intuitive concept of transverse effective mass, which emerges naturally from these basic derivations, and which approaches zero in the limit of undoped graphene at low temperature and is responsible for its extremely high mobility. (C) 2019 American Association of Physics Teachers.