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

doi:10.1088/1674-1056/22/12/127201

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.

Keywords: anisotropic localization graphene dimerization

Received: 29 May 2013
Revised: 23 July 2013
Accepted manuscript online:

PACS:	72.80.Ng	(Disordered solids)
	73.20.Fz	(Weak or Anderson localization)
	64.60.F-	(Equilibrium properties near critical points, critical exponents)
	81.05.Vp

Fund: 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).

Corresponding Authors: Wang Li-Min
E-mail: wanglmnju@gmail.com

Cite this article:

Wang Li-Min (王莉敏), Shi Shao-Cong (拾邵聪), Zhang Wei-Yi (章维益) Anisotropic localization behavior of graphene in the presence of diagonal and off-diagonal disorders 2013 Chin. Phys. B 22 127201

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

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