• 文献标题:   Analytical Dirac model of graphene rings, dots, and antidots in magnetic fields
  • 文献类型:   Article
  • 作  者:   THOMSEN MR, PEDERSEN TG
  • 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:   Aalborg Univ
  • 被引频次:   7
  • DOI:   10.1103/PhysRevB.95.235427
  • 出版年:   2017

▎ 摘  要

Circularly symmetric graphene nanostructures exist in the form of graphene rings, dots, and antidots. For realistic structure sizes, atomistic studies typically become prohibitively demanding. Analytical results, however, can be found within the Dirac-equation approach even in the presence of a perpendicular magnetic field. We model nanostructure confinement by using a circularly symmetric mass term and analyze the influence of geometry, magnetic field, and mass term on the eigenstates. Excellent agreement with atomistic models for small structures is demonstrated. In addition, we find good agreement with recent magneto-transport measurements for large graphene rings and investigate their valley-dependent density of states.