Low Temperature Physics: 42, 679 (2016); https://doi.org/10.1063/1.4961016
On equivalence of two vacancy models, applied to electron spectrum of materials with honeycomb lattice
Y.V. Skrypnyk1 and V.M. Loktev2,3
1G.V. Kurdyumov Institute for Metal Physics National of the Sciences of Ukraine 36 Academician Vernadsky Blvd., UA-03680, Kiev-142, Ukraine
2Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, 03680, Ukraine
3National Technical University of Ukraine “KPI”, 37 Peremogy Ave., Kiev 03056, Ukraine
Received May 1, 2016
On the basis of the tight-binding method, the Green’s function for a material with the honeycomb crystal lattice structure containing a vacancy was studied. The well-known models that are relatively frequently used to describe a single vacancy were considered, and their equivalence was analytically demonstrated. It was also shown that contributions to the density of quasiparticle states from both sublattices of the honeycomb lattice are exactly the same, except the zero energy, no matter which of the sublattices contains a vacancy.
PACS: 73.22.Pr Electronic structure of graphene;
Key words: graphene, vacancy, electronic structure, density of states.
Published online: June 24, 2016