2009/06/30 by Eduardo V. Castro, M. P. López-Sancho, María P. López-Sancho +1 · 50 citations
Materials Science · Physics and Astronomy · #Amplitude #Bilayer graphene #Condensed matter physics #Delocalized electron #Electric field #Graphene #Graphene research and applications #Materials science #Physics #Quantum and electron transport phenomena #Quantum mechanics #Type (biology) #Vacancy defect #cond-mat.mes-hall #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevlett.104.036802
published in Physical Review Letters 104(3), 036802 (American Physical Society) · 4.1 pages, 4 figures (published version)
openalex publication_date 2010/01/20 · arxiv created 2010/02/05 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.