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Graphene with vacancies: Supernumerary zero modes

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Weik, Norman ; Schindler, Johannes ; Bera, Soumya ; Solomon, Gemma C. ; Evers, Ferdinand
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Date of publication of this fulltext: 25 Jun 2021 05:26


The density of states ϱ(E) of graphene is investigated within the tight-binding (Hückel) approximation in the presence of vacancies. They introduce a nonvanishing density of zero modes nzm that act as midgap states, ϱ(E)=nzmδ(E)+smooth. As is well known, the actual number of zero modes per sample can, in principle, exceed the sublattice imbalance, Nzm≥∣∣NA−NB∣∣, where NA,NB denote the number of ...


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