Anisotropic behavior and inhomogeneity of atomic local densities of states in graphene with vacancy groups

The electron local density of states (LDOS) are calculated for graphene with isolated vacancies, divacancies and vacancy group of four nearest-neighbor vacancies. A strong anisotropy of behavior of LDOS near Fermi level is demonstrated for atoms near defect. Effect of next-to-nearest neighbor interaction on the properties of graphene with vacancies is established.