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Topological Defects in Carbon Nanocrystals

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Topology in Condensed Matter

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 150))

Summary

The modern status of the problem of topological defects in graphitic nanocrystals is discussed. The gauge theory and topology are proved to be powerful methods in analyzing the electronic structure of variously shaped carbon nanoparticles. Both the eigenfunctions and the local density of states (DOS) near the pentagonal defects are calculated for three geometries: sphere, cone, and hyperboloid. It is found that the low-energy DOS has a cusp, which drops to 0 at the Fermi energy for any number of pentagons at the tip except 3. For three pentagons, the nonzero DOS across the Fermi level is formed.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russian Federation

    V.A. Osipov

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  1. V.A. Osipov
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Editors and Affiliations

  1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259, Moscow, Russia

    Michail Ilych Monastyrsky

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Osipov, V. (2006). Topological Defects in Carbon Nanocrystals. In: Monastyrsky, M.I. (eds) Topology in Condensed Matter. Springer Series in Solid-State Sciences, vol 150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31264-1_5

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