Anisotropic behavior of quantum transport in graphene superlattices: Coexistence of ballistic conduction with Anderson insulating regime

Jesper Goor Pedersen, Aron W. Cummings, Stephan Roche

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Abstract

We report on the possibility to generate highly anisotropic quantum conductivity in disordered graphene-based superlattices. Our quantum simulations, based on an efficient real-space implementation of the Kubo-Greenwood formula, show that in disordered graphene superlattices the strength of multiple scattering phenomena can strongly depend on the transport measurement geometry. This eventually yields the coexistence of a ballistic waveguide and a highly resistive channel (Anderson insulator) in the same two-dimensional platform, evidenced by a sigma(yy)/sigma(xx) ratio varying over several orders of magnitude, and suggesting the possibility of building graphene electronic circuits based on the unique properties of chiral massless Dirac fermions in graphene.
Original languageEnglish
JournalPhysical Review B
Volume89
Issue number16
Pages (from-to)165401
Number of pages5
ISSN0163-1829
DOIs
Publication statusPublished - 2014

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©2014 American Physical Society

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