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Interplay between edge states and simple bulk defects in graphene nanoribbons

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Abstract

We study the interplay between the edge states and a single impurity in a zigzag graphene nanoribbon. We use tight-binding exact diagonalization techniques, as well as density functional theory calculations to obtain the eigenvalue spectrum, the eigenfunctions, as well as the dependence of the local density of states (LDOS) on energy and position. We study the strictly zero-energy eigenfunctions using symmetry considerations, as well as tight-binding techniques. Moreover, we note that roughly half of the unperturbed eigenstates in the spectrum of the finite-size ribbon hybridize with the impurity state, and the corresponding eigenvalues are shifted with respect to their unperturbed values. The maximum shift and hybridization occur for a state whose energy is inverse proportional to the impurity potential, and give rise to an impurity peak in the DOS spectrum. We find that the interference between the impurity and the edge gives rise to peculiar modifications of the LDOS of the nanoribbon, in particular to oscillations of the edge LDOS. These effects depend on the size of the system, and decay with the distance between the edge and the impurity.

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Authors and Affiliations

  1. Laboratoire de Physique des Solides, CNRS UMR-8502, Université Paris Sud, 91405, Orsay Cedex, France

    Liviu Bilteanu, Clement Dutreix, Anu Jagannathan & Cristina Bena

  2. Institut de Physique Théorique, CEA/Saclay, Orme des Merisiers, 91190, Gif-sur-Yvette Cedex, France

    Cristina Bena

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  1. Liviu Bilteanu
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  2. Clement Dutreix
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  4. Cristina Bena
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Correspondence to Cristina Bena.

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Bilteanu, L., Dutreix, C., Jagannathan, A. et al. Interplay between edge states and simple bulk defects in graphene nanoribbons. Eur. Phys. J. B 86, 240 (2013). https://doi.org/10.1140/epjb/e2013-30488-6

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  • DOI: https://doi.org/10.1140/epjb/e2013-30488-6

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