• 文献标题:   Quantum chaos in weakly disordered graphene
  • 文献类型:   Article
  • 作  者:   AMANATIDIS I, EVANGELOU SN
  • 作者关键词:   carbon nanotube, chao, graphene, tightbinding calculation, wigner crystal
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Univ Ioannina
  • 被引频次:   20
  • DOI:   10.1103/PhysRevB.79.205420
  • 出版年:   2009

▎ 摘  要

We have studied numerically the statistics for electronic states (level spacings and participation ratios) from disordered graphene dots of finite size, described by the aspect ratio W/L and various geometries, corresponding to finite chiral or achiral carbon nanotubes. Quantum chaotic Wigner energy level-spacing distribution is found for weak disorder, even infinitesimally small disorder for wide and short tight-binding samples (W/L > 1), while for strong disorder, Anderson localization with Poisson level-statistics always sets in. Although pure graphene near the Dirac point corresponds to integrable ballistic statistics diffusive chaotic behavior seems more common for realistic (weakly disordered) finite samples.