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Phys Rev Lett. 2006 Jan 27;96(3):036801. Epub 2006 Jan 23.

Disorder induced localized States in graphene.

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Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA and CFP and Departamento de Física, Faculdade de Ciências Universidade de Porto, 4169-007 Porto, Portugal.

Erratum in

  • Phys Rev Lett. 2007 Jun 22;98(25):259902.


We consider the electronic structure near vacancies in the half-filled honeycomb lattice. It is shown that vacancies induce the formation of localized states. When particle-hole symmetry is broken, localized states become resonances close to the Fermi level. We also study the problem of a finite density of vacancies, obtaining the electronic density of states, and discussing the issue of electronic localization in these systems. Our results also have relevance for the problem of disorder in d-wave superconductors.

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