Electronic structure of vacancy resonant states in graphene: a critical review of the single vacancy case

Abstract

The resonant behaviour of vacancy states in graphene is well-known but some ambiguities remain concerning in particular the nature of the so-called zero energy modes. Other points are not completely elucidated in the case of low but finite vacancy concentration. In this article we concentrate on the case of vacancies described within the usual tight-binding approximation. More precisely we discuss the case of a single vacancy or of a finite number of vacancies in a finite or infinite system.

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• Atomistic $T$-matrix theory of disordered 2D materials: Bound states, spectral properties, quasiparticle scattering, and transport
• Symmetry-protected coherent transport for diluted vacancies and adatoms in graphene
• Transport signatures of Kondo physics and quantum criticality in graphene with magnetic impurities
• Green Functions of Graphene: An Analytic Approach
• Theory of Vacancy-Induced Intrinsic Magnetic Impurity with Quasi-Localized Spin Moment in Graphene
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• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Collective resonances near zero energy induced by a point defect in bilayer graphene