Local density of states of graphene with diagonal and off-diagonal disorder

ORAL

Abstract

We study the effect of diagonal and off-diagonal disorder in the local density of states of a graphene sheet. The exact Green's functions for graphene in the presence of a local potential and in the presence of a modification of the local hopping parameter are given. A discussion of the resonances induced by disorder in the local density of states is provided. We obtain the exact Green's function for a vacancy as a limiting procedure applied to the Green's functions with either diagonal or off-diagonal disorder. The exact Green's function in the presence of both local and off-diagonal disorder is given.

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Authors

  • Nuno M.R. Peres

    Departamento Fisica, Universidade do Minho, School of Sciences, Physics Department, Departamento de F\'isica. Universidade do Minho. Braga. P-4710-057 Portugal

  • Joao Ricardo Santos

    School of Sciences, Physics Department

  • Filippos Klironomos

    University of California, Riverside, Physics Department, University of California, Riverside

  • Shan-Wen Tsai

    University of California, Riverside, Physics Department, University of California, Riverside, University of California Riverside

  • J.M.B. Lopes dos Santos

    CFP, Dep Fisica, Faculdade Ciencias, Universidade do Porto, University of Porto, Physics Department

  • Antonio Castro Neto

    Boston University, Department of Physics, Boston University, Boston University, Physics Department, Department of Physics. Boston University. 590 Commonwealth Av. Boston MA02115, Department of Physics, Harvard University, Cambridge, USA and Department of Physics, Boston University, Boston,USA, Department of Physics, Boston University, Boston, MA 02215, Physics Dept, Boston University