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Updated: Jun 14, 2026

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
Published on: July 24, 2015
New type of vacancy-induced localized States in multilayer graphene
Eduardo V Castro1, María P López-Sancho, María A H Vozmediano
1Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain.
Abstract:
We demonstrate the existence of a new type of zero energy state associated with vacancies in multilayer graphene that has a finite amplitude over the layer with a vacancy and adjacent layers, and the peculiarity of being quasilocalized 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 wave function. A transition from a localized to an extended state can be tuned by the external gate for experimentally accessible values of parameters.
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