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Graphene with vacancies: Supernumerary zero modes

Weik, Norman ; Schindler, Johannes ; Bera, Soumya ; Solomon, Gemma C. ; Evers, Ferdinand


The density of states rho(E) of graphene is investigated within the tight-binding (Huckel) approximation in the presence of vacancies. They introduce a nonvanishing density of zero modes n(zm) that act as midgap states, rho(E) = n(zm)delta(E) + smooth. As is well known, the actual number of zero modes per sample can, in principle, exceed the sublattice imbalance, N-zm >= vertical bar N-A - N-B ...


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