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Dirac fermions on graphite cones

  • Condensed Matter
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Abstract

The electronic structure of graphitic cones is investigated within the self-consistent field-theory model. The local and total density of states near the apex are found for cones of different opening angles. For extended electronic states, the total density of states is found to vanish at the Fermi level at any opening angles more than 60° In turn, for power-law localized states, normalized zero-energy modes are shown to emerge.

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References

  1. K. Kobayashi, Phys. Rev. B 61, 8496 (2000).

    ADS  Google Scholar 

  2. P. E. Lammert and V. H. Crespi, Phys. Rev. Lett. 85, 5190 (2000).

    Article  ADS  Google Scholar 

  3. E. A. Kochetov and V. A. Osipov, J. Phys. A 32, 1961 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  4. V. A. Osipov and E. A. Kochetov, Pis’ma Zh. Éksp. Teor. Fiz. 72, 285 (2000) [JETP Lett. 72, 199 (2000)].

    Google Scholar 

  5. R. Jackiw, Phys. Rev. D 29, 2375 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  6. G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 63, 729 (1996) [JETP Lett. 63, 763 (1996)].

    Google Scholar 

  7. G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 70, 601 (1999) [JETP Lett. 70, 609 (1999)].

    Google Scholar 

  8. J. González, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. Lett. 69, 172 (1992).

    Article  ADS  Google Scholar 

  9. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 78, 1932 (1997).

    Article  ADS  Google Scholar 

  10. D. P. Di Vincenzo and E. J. Mele, Phys. Rev. B 29, 1685 (1984).

    ADS  Google Scholar 

  11. M. Nakahara, Geometry, Topology, and Physics (A. Hilger, Bristol, 1990).

    Google Scholar 

  12. R. Tamura and M. Tsukada, Phys. Rev. B 49, 7697 (1994); 52, 6015 (1995).

    ADS  Google Scholar 

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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 10, 2001, pp. 631–634.

Original English Text Copyright © 2001 by Osipov, Kochetov.

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Osipov, V.A., Kochetov, E.A. Dirac fermions on graphite cones. Jetp Lett. 73, 562–565 (2001). https://doi.org/10.1134/1.1387528

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  • DOI: https://doi.org/10.1134/1.1387528

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