title: New type of vacancy-induced localized States in multilayer graphene.
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.
authors.affiliation: Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain.
authors.forename: Eduardo V
authors.initials: EV
authors.lastname: Castro
authors.forename: María P
authors.initials: MP
authors.lastname: López-Sancho
authors.forename: María A H
authors.initials: MA
authors.lastname: Vozmediano