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

Novoselov, 2005, Two-dimensional gas of massless Dirac fermions in graphene, Nature, 438, 197, 10.1038/nature04233 Dean, 2010, Nonadiabatic phonons within the doped graphene layers of XC6 compounds, Phys. Rev. B, 81, 045405, 10.1103/PhysRevB.81.045405 Upton, 2010, Phonons and superconductivity in YbC6 and related compounds, Phys. Rev. B, 82, 134515, 10.1103/PhysRevB.82.134515 Feher, 2009, Effect of defects on quasiparticles spectra of graphite and graphene, Low. Temp. Phys., 35, 679, 10.1063/1.3224726 Eremenko, 2016, The part of acoustic phonons in the negative thermal expansion of the layered structures and nanotubes based on them, Low. Temp. Phys., 42, 135, 10.1063/1.4951701 Feher, 2011, Quasi-particle spectra on substrate and embedded graphene monolayers Lambin, 2012, Long-range interactions between substitutional nitrogen dopants in graphene: electronic properties calculations, Phys. Rev. B, 86, 045448, 10.1103/PhysRevB.86.045448 Nanda, 2012, Electronic structure of the substitutional vacancy in graphene: density-functional and Green's function studies, New J. Phys., 14, 083004, 10.1088/1367-2630/14/8/083004 Ducastelle, 2013, Electronic structure of vacancy resonant states in graphene: a critical review of the single-vacancy case, Phys. Rev. B, 88, 075413, 10.1103/PhysRevB.88.075413 Pokropivny, 2014, Tailoring properties of graphene with vacancies, Phys. Status Solidi B, 251, 555, 10.1002/pssb.201300301 Smith, 2001, Electron irradiation effects in single wall carbon nanotubes, J. Appl. Phys., 90, 3509, 10.1063/1.1383020 Peresada, 1968, New calculation method in the theory of crystal lattice, Fiz. Kondens. Sostoyaniya, 2, 172 Peresada, 1975, On calculation of density of states of single-magnon perturbations in ferromagnetics, Sov. J. Low. Temp. Phys., 1, 227 Haydock, 1972, Electronic structure based on the local atomic environment for tight-binding bands, J. Phys. C. Solid State Phys., 5, 2845, 10.1088/0022-3719/5/20/004 Oliveira, 2015, Synthesis of quasi-free-standing bilayer graphene nanoribbons on SiC surfaces, Nat. Commun., 6, 7632, 10.1038/ncomms8632 Pereira, 2006, Disorder induced localized states in graphene, Phys. Rev. Lett., 96, 036801, 10.1103/PhysRevLett.96.036801 Wu, 2007 Kotlyar, 2006, Local vibrational modes in crystal lattices with a simply connected region of the quasi-continuous phonon spectrum, Low. Temp. Phys., 32, 256, 10.1063/1.2178484 Kang, 2008, Effect of atomic-scale defects on the low-energy electronic structure of graphene: perturbation theory and local-density-functional calculations, Phys. Rev. B, 77, 115453, 10.1103/PhysRevB.77.115453