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.

–

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