Vacancy induced localized states in graphene

ORAL

Abstract

We show, analytically, that vacancies in an half-filled honeycomb lattice induce the formation of quasi-localized electronic states. If particle-hole symmetry is broken, these states become resonances close to the Fermi level. We also calculate numerically the electronic density of states for a finite density of vacancies, and discuss the issue of electronic localization in these systems. Our results have also relevance for the problem of disorder in d-wave superconductor.

–

Authors

  • J.M.B. Lopes dos Santos

    CFP and Departamento de F\'{i}sica, Faculdade de Ci\^{e}ncias Universidade do Porto, CFP and Departamento de F{\'\i}sica, Faculdade de Ci{\^e}ncias Universidade do Porto, 4169-007 Porto, Portugal

  • Vitor M. Pereira

    CFP and Departamento de F{\'\i}sica, Faculdade de Ci\^encias , Universidade de Porto

  • Francisco Guinea

    Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco E28049 Madrid, Spain, Inst de Ciencia de Materiales de Madrid (CSIC) Cantoblanco 28049 MADRID, Instituto de Ciencia de Materiales de Madrid, Spain

  • Nuno M.R. Peres

    Center of Physics and Departamento de F{\'\i}sica, Universidade do Minho, P-4710-057, Braga, Portugal, Universidade do Minho. Portugal

  • Antonio H. Casto Neto

    Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, MA 02215, USA, Boston University, Department of Physics, Boston University, Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA