New Quantum Nanostructures

Boron-based metallic nanotubes and geometric phases in carbon nanocones
  • V. H. Crespi
  • P. Zhang
  • P. E. Lammert


Several new metallic and semiconducting nanostructures may provide interesting substrates for observations involving quantum coherence. Boron-based nanotubes with beryllium atoms in the hexagonal faces should exhibit uniformly metallic properties with multiple conduction channels of disparate character. The apical dislocation in a carbon nanocone mixes the low-energy electronic states of a graphene sheet and produces a geometrically derived effective flux through the apex which suppresses the Aharonov-Bohm effect.


Nanotube Boron Metallic Cone Graphene Geometric phase 


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  1. [1]
    S. Iijima, Nature 354, 56 (1991).ADSCrossRefGoogle Scholar
  2. [2]
    A. Rubio, J. L. Corkill, and M. L. Cohen, Phys. Rev. B 49, 5081 (1994).ADSGoogle Scholar
  3. [3]
    X. Blase, A. Rubio, S. G. Louie, and M. L. Cohen, Europhys. Lett. 28, 335 (1994).ADSCrossRefGoogle Scholar
  4. [4]
    N. G. Chopra, R. L. Luyken, K. Cheney, V. H. Crespi, M. L. Cohen, S. G. Louie, and A. Zettl, Science 269, 966 (1995).ADSCrossRefGoogle Scholar
  5. [5]
    Z. Weng-Sieh, K. Cheney, N. G. Chopra, X. Blase, Y. Miyamoto, A. Rubio, M. L. Cohen, S. G. Louie, A. Zettl, and R. Gronsky, Phys. Rev. B 51, 11229 (1995)ADSGoogle Scholar
  6. [5a]
    L. A. Chernozatonskii, JETP Lett. 74, 335 (2001)ADSCrossRefGoogle Scholar
  7. [5b]
    I. Boustani, A. Quandt, E. Hernández and A. Rubio, J. Chem. Phys. 110, 3176 (1999)ADSCrossRefGoogle Scholar
  8. [5c]
    A. Quandt, A. Y. Liu, and I. Boustani, Phys. Rev. B 64, 125422 (2001).ADSGoogle Scholar
  9. [6]
    H. T. Hall and L. A. Compton, Inorg. Chem. 4, 1213 (1965).CrossRefGoogle Scholar
  10. [7]
    M. P. Grumbach, O. F. Sankey, and P. F. McMillan, Phys. Rev. B 52, 15807 (1995).ADSGoogle Scholar
  11. [8]
    Diamond-like forms have also been observed for B2O. T. Endo, T. Sato, and M. Shimada, J. Mater. Sci. Lett. 6, 683 (1987).CrossRefGoogle Scholar
  12. [8a]
    BeB2: L. Y. Markovskii, Y. D. Kondrashev, and G. V. Kaputovskais, J. Gen. Chem. USSR 25, 1007 (1955)Google Scholar
  13. [8b]
    BeB2: L. Y. Markovskii, Y. D. Kondrashev, and G. V. Kaputovskais, J. Gen. Chem. USSR 25. 1007 (1955)CrossRefGoogle Scholar
  14. [8b]
    D. E. Sands, C. F. Cline, A. Zalkin. and C. L. Hoenig, Acta Cryst. 14, 309 (1961)CrossRefGoogle Scholar
  15. [8c]
    M. S. Borovikova, V. V. Fesenko, and J. Less, Common. Metals 117, 287 (1986).CrossRefGoogle Scholar
  16. [9]
    J. Ihm, A. Zunger, and M. L. Cohen, J. Phys. C 12, 4409 (1979).ADSCrossRefGoogle Scholar
  17. [10]
    A. Krishnan, E. Dujardin. M. M. J. Treacy. J. Hugdahl, S. Lynum. and T. W. Ebbesen, Nature 388, 451 (1997).ADSCrossRefGoogle Scholar
  18. [11]
    R. Saito, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992).ADSCrossRefGoogle Scholar
  19. [12]
    N. Hamada, S. Sawada, and A. Oshiyama. Phys. Rev. Lett. 68, 1579 (1992).ADSCrossRefGoogle Scholar
  20. [13]
    B. I. Dunlap and C. T. White. Phys. Rev. Lett. 68, 631 (1992).ADSCrossRefGoogle Scholar
  21. [14]
    D. P. DiVincenzo and E. J. Mele, Phys. Rev. B 29, 1685 (1983).ADSGoogle Scholar
  22. [15]
    C. L. Kane and E. J. Mele, Phys. Rev. Lett. 78, 1932 (1997).ADSCrossRefGoogle Scholar
  23. [16]
    P. E. Lammert and V. H. Crespi, Phys. Rev. B 61, 7308 (2000). Beware a different convention regarding A/B labelling.ADSGoogle Scholar
  24. [17]
    P. E. Lammert and V. H. Crespi. Phys. Rev. Lett. 85, 5190 (2000).ADSCrossRefGoogle Scholar
  25. [18]
    C. T. White and T. N. Todorov, Nature 393, 240 (1998).ADSCrossRefGoogle Scholar
  26. [19]
    S. J. Tans, M. H. Devoret, H. Dai, A. Thess, R. E. Smalley, L. J. Geerligs, and C. Dekker, Nature 386, 474 (1997).ADSCrossRefGoogle Scholar
  27. [20]
    A. G. Aronov and Yu. V. Sharvin, Rev. Mod. Phys. 59, 755 (1987).ADSCrossRefGoogle Scholar
  28. [21]
    R. A. Webb, S. Washburn, C. P. Umbach, and R. B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1985).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • V. H. Crespi
    • 1
  • P. Zhang
    • 1
  • P. E. Lammert
    • 1
  1. 1.Department of Physics and Materials Research InstituteUniversity ParkUSA

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