• 文献标题:   Transparency of graphene and other direct-gap two-dimensional materials
  • 文献类型:   Article
  • 作  者:   MERTHE DJ, KRESIN VV
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Univ Southern Calif
  • 被引频次:   10
  • DOI:   10.1103/PhysRevB.94.205439
  • 出版年:   2016

▎ 摘  要

Graphene and other two-dimensional materials display remarkable optical properties, including a simple transparency of T approximate to 1 - pi alpha for visible light. Most theoretical rationalizations of this "universal" opacity employ a model coupling light to the electron's crystal momentum and put emphasis on the linear dispersion of the graphene bands. However, such a formulation of interband absorption is not allowable within band structure theory, because it conflates the crystal momentum label with the canonical momentum operator. We show that the physical origin of the optical behavior of graphene can be explained within a straightforward picture with the correct use of canonical momentum coupling. Its essence lies in the two-dimensional character of the density of states rather than in the precise dispersion relation, and therefore the discussion is applicable to other systems such as semiconductor membranes. At higher energies the calculation predicts a peak corresponding to a van Hove singularity as well as a specific asymmetry in the absorption spectrum of graphene, in agreement with previous results.