• 文献标题:   Dirac fermions in a graphene nanodisk and a graphene corner: Texture of vortices with an unusual winding number
  • 文献类型:   Article
  • 作  者:   EZAWA M
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Univ Tokyo
  • 被引频次:   26
  • DOI:   10.1103/PhysRevB.81.201402
  • 出版年:   2010

▎ 摘  要

We analyze the zero-energy sector of the trigonal zigzag nanodisk and corner based on the Dirac theory of graphene. The zero-energy states are shown to be indexed by the edge momentum and grouped according to the irreducible representation of the trigonal symmetry group C(3v). Wave functions are explicitly constructed as holomorphic or antiholomorphic functions around the K or K' point. Each zero-energy mode is a chiral edge mode. We find a texture of magnetic vortices. It is intriguing that a vortex with the winding number 2 emerges in the state belonging to the E (doublet) representation. The realization of such a vortex is very rare.