Localization behavior of Dirac particles in disordered graphene superlattices

Qifang Zhao, Jiangbin Gong, and Cord A. Müller
Phys. Rev. B 85, 104201 – Published 2 March 2012

Abstract

Graphene superlattices (GSLs), formed by subjecting a monolayer graphene sheet to a periodic potential, can be used to engineer band structures and, from there, charge transport properties, but these are sensitive to the presence of disorder. The localization behavior of massless 2D Dirac particles induced by weak disorder is studied for both scalar-potential and vector-potential GSLs, computationally as well as analytically by a weak-disorder expansion. In particular, it is investigated how the Lyapunov exponent (inverse localization length) depends on the incidence angle to a 1D GSL. Delocalization resonances are found for both scalar and vector GSLs. The sharp angular dependence of the Lyapunov exponent may be exploited to realize disorder-induced filtering, as verified by full 2D numerical wave packet simulations.

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  • Received 17 November 2011

DOI:https://doi.org/10.1103/PhysRevB.85.104201

©2012 American Physical Society

Authors & Affiliations

Qifang Zhao and Jiangbin Gong*

  • Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546, Republic of Singapore

Cord A. Müller

  • Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Republic of Singapore

  • *phygj@nus.edu.sg

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Vol. 85, Iss. 10 — 1 March 2012

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