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A new type of vacancy-induced localized states in multilayer graphene

We demonstrate the existence of a new type of zero energy state associated to vacancies in multilayer graphene that has a finite amplitude over the layer with a vacancy and adjacent layers, and the peculiarity of being quasi-localized in the former and totally delocalized in the adjacent ones. In a bilayer, when a gap is induced in the system by applying a perpendicular electric field, these states become truly localized with a normalizable wavefunction. A transition from a localized to an extended state can be tuned by the external gate for experimentally accessible values of parameters.

preprint2010arXivOpen access
Eduardo V. CastroMaría P. López-SanchoMaría A. H. Vozmediano
cond-mat.mes-hallcond-mat.mtrl-sci
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Eduardo V. CastroMaría P. López-SanchoMaría A. H. Vozmediano

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