• 文献标题:   Edge states versus diffusion in disordered graphene flakes
  • 文献类型:   Article
  • 作  者:   KLEFTOGIANNIS I, AMANATIDIS I
  • 作者关键词:  
  • 出版物名称:   EUROPEAN PHYSICAL JOURNAL B
  • ISSN:   1434-6028 EI 1434-6036
  • 通讯作者地址:   Univ Ioannina
  • 被引频次:   6
  • DOI:   10.1140/epjb/e2013-40756-0
  • 出版年:   2014

▎ 摘  要

We study the localization properties of the wavefunctions in graphene flakes with short range disorder, via the numerical calculation of the inverse participation ratio (IPR) and its scaling which provides the fractal dimension D-2. We show that the edge states which exist at the Dirac point of ballistic graphene (no disorder) with zig-zag edges survive in the presence of weak disorder with wavefunctions localized at the boundaries of the flakes. We argue, that there is a strong interplay between the underlying destructive interference mechanism of the honeycomb lattice of graphene leading to edge states and the diffusive interference mechanism introduced by the short-range disorder. This interplay results in a highly abnormal behavior, wavefunctions are becoming progressively less localized as the disorder is increased, indicated by the decrease of the average < IPR > and the increase of D-2. We verify, that this abnormal behavior is absent for graphene flakes with armchair edges which do not provide edge states.