• 文献标题:   Robustness of edge states in graphene quantum dots
  • 文献类型:   Article
  • 作  者:   WIMMER M, AKHMEROV AR, GUINEA F
  • 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:   Leiden Univ
  • 被引频次:   96
  • DOI:   10.1103/PhysRevB.82.045409
  • 出版年:   2010

▎ 摘  要

We analyze the single-particle states at the edges of disordered graphene quantum dots. We show that generic graphene quantum dots support a number of edge states proportional to circumference of the dot over the lattice constant. Our analytical theory agrees well with numerical simulations. Perturbations breaking electron-hole symmetry such as next-nearest-neighbor hopping or edge impurities shift the edge states away from zero energy but do not change their total amount. We discuss the possibility of detecting the edge states in an antidot array and provide an upper bound on the magnetic moment of a graphene dot.