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Double toroids as model systems for carbon nanotube junctions: through-bond currents

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Abstract

We show that the through-bond currents in a closed molecular network originate from their topologically invariant edge-homologies. When applied to double toroidal structures they give rise to topologically induced currents whose 3D manifestations are highly sensitive to the way both loops are merged together i.e. on the nature of their junction.

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References

  1. Ceulemans A., Fowler P.W.: Nature (London) 353, 52–54 (1991)

    Article  Google Scholar 

  2. K. Nakada, K. Maeda, K. Daigoku, J. Math. Chem. (submitted)

  3. László I.: Croat. Chem. Acta 78, 217–221 (2005)

    Google Scholar 

  4. L. Euler, Elementa Doctrinae Solidorum, Opera Omnia, Ser. 1, 26(XIV–XVI), 71 (1752)

  5. L. Schläfli, Theorie der vielfachen Kontinuität, Neue Denkschriften der allgemeinen schweizerischen Gesellschaft für die gesamten Naturwissenschaften Band 38, IV (Zürich) (1901)

  6. Poincaré H.: Compt. Rend. (Paris) 117, 144 (1893)

    Google Scholar 

  7. Gross J.L., Tucker T.W.: Topological Graph Theory. Dover Publ. Inc., New York (2001)

    Google Scholar 

  8. Ceulemans A., Lijnen E.: Eur. J. Inorg. Chem. 7, 1571–1581 (2002)

    Article  Google Scholar 

  9. Cotton F.A.: Chemical Applications of Group Theory, 3rd edn. Wiley, New York (1990)

    Google Scholar 

  10. Hilton P.J., Wylie S.: Homology Theory. Cambridge University Press, Cambridge (1960)

    Google Scholar 

  11. Giblin P.J.: Graphs, Surfaces and Homology. Chapman and Hall, London (1977)

    Google Scholar 

  12. Ceulemans A., Szopa M., Fowler P.W.: Eur. Phys. Lett. 36, 645–649 (1996)

    Article  CAS  Google Scholar 

  13. Ceulemans A., Fowler P.W.: J. Chem. Soc. Faraday Trans. 91, 3089–3093 (1995)

    Article  CAS  Google Scholar 

  14. Ceulemans A., Chibotaru L.F., Fowler P.W.: Phys. Rev. Lett. 80, 1861–1864 (1998)

    Article  CAS  Google Scholar 

  15. Soncini A., Fowler P.W.: Chem. Phys. Lett. 400, 213–220 (2004)

    Article  CAS  Google Scholar 

Download references

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Correspondence to E. Lijnen.

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Lijnen, E., Ceulemans, A., Diudea, M.V. et al. Double toroids as model systems for carbon nanotube junctions: through-bond currents. J Math Chem 45, 417–430 (2009). https://doi.org/10.1007/s10910-008-9415-2

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  • DOI: https://doi.org/10.1007/s10910-008-9415-2

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