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Electron waves in chemically substituted graphene

N. M. R. Peres1, F. D. Klironomos2, S.-W. Tsai2, J. R. Santos1, J. M. B. Lopes dos Santos3 and A. H. Castro Neto4

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We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential as well as in the hopping amplitude. We employ a T-matrix formalism and find that disorder in the hopping introduces additional interference terms around the impurity that can be understood in terms of bound, semi-bound, and unbound processes for the Dirac electrons. These interference effects can be detected by scanning tunneling microscopy.


PACS

73.23.-b Electronic transport in mesoscopic systems

81.05.Uw Carbon, diamond, graphite

73.20.Hb Impurity and defect levels; energy states of adsorbed species

Subjects

Surfaces, interfaces and thin films

Condensed matter: structural, mechanical & thermal

Dates

Issue 6 (December 2007)

Received 29 August 2007, accepted for publication 21 October 2007

Published 13 November 2007



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