中国物理B ›› 2013, Vol. 22 ›› Issue (12): 127201-127201.doi: 10.1088/1674-1056/22/12/127201

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Anisotropic localization behavior of graphene in the presence of diagonal and off-diagonal disorders

王莉敏, 拾邵聪, 章维益   

  1. The National Laboratory of Solid State Microstructures and the Department of Physics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2013-05-29 修回日期:2013-07-23 出版日期:2013-10-25 发布日期:2013-10-25
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB923404), the National Natural Science Foundation of China (Grant No. 11021403), and the National Science Fund for Distinguished Young Scholars of China (Grant No. 10025419).

Anisotropic localization behavior of graphene in the presence of diagonal and off-diagonal disorders

Wang Li-Min (王莉敏), Shi Shao-Cong (拾邵聪), Zhang Wei-Yi (章维益)   

  1. The National Laboratory of Solid State Microstructures and the Department of Physics, Nanjing University, Nanjing 210093, China
  • Received:2013-05-29 Revised:2013-07-23 Online:2013-10-25 Published:2013-10-25
  • Contact: Wang Li-Min E-mail:wanglmnju@gmail.com
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2010CB923404), the National Natural Science Foundation of China (Grant No. 11021403), and the National Science Fund for Distinguished Young Scholars of China (Grant No. 10025419).

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摘要： Anisotropic localization of Dirac fermions in graphene along both the x and y axes was studied using the transfer-matrix method. The two-parameter scaled behavior around the Dirac points was observed along the x axis with off-diagonal disorder. In contrast, the electronic state along the y axis with armchair edges was delocalized, which can be described well by single parameter scaling theory. This implies that the breakdown of the single-parameter scaling is related to the zigzag edge along the x axis. Furthermore, dimerization induced by the substrate suppresses the two-parameter scaling behavior along the x axis and preserves the delocalized state along the y axis. Our results also demonstrate anisotropic localization in graphene with diagonal disorder that can be tuned by dimerization.

关键词: anisotropic localization, graphene, dimerization

Abstract: Anisotropic localization of Dirac fermions in graphene along both the x and y axes was studied using the transfer-matrix method. The two-parameter scaled behavior around the Dirac points was observed along the x axis with off-diagonal disorder. In contrast, the electronic state along the y axis with armchair edges was delocalized, which can be described well by single parameter scaling theory. This implies that the breakdown of the single-parameter scaling is related to the zigzag edge along the x axis. Furthermore, dimerization induced by the substrate suppresses the two-parameter scaling behavior along the x axis and preserves the delocalized state along the y axis. Our results also demonstrate anisotropic localization in graphene with diagonal disorder that can be tuned by dimerization.

Key words: anisotropic localization, graphene, dimerization

中图分类号:  (Disordered solids)

  • 72.80.Ng
73.20.Fz (Weak or Anderson localization) 64.60.F- (Equilibrium properties near critical points, critical exponents)