Collective oscillations in a single-wall carbon nanotube excited by fast electrons

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 11, 2001, Pages

  Stöckli, Thomas ^a   Bonard, Jean Marc ^a   Châtelain, André ^a   Wang, Zhong Lin ^b   Stadelmann, Pierre ^a  

^a EPFL   (Switzerland)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRON ENERGY LOSS SPECTROSCOPY; ENERGY METABOLISM; GAS; HYDRODYNAMICS; MEASUREMENT; MOLECULAR INTERACTION; MOLECULAR MODEL; OSCILLATION; TUBE;

EID: 0035884531     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.115424     Document Type: Article

References (60)

1. S. Iijima and T. Ichihashi, Nature (London)363, 603 (1993).
2. R. Saito, G. Fujita, G. Dresselhaus, and M S. Dresselhaus, Appl. Phys. Lett.60, 2204 (1992).
3. N. Hamada, S I. Sawada, and A. Oshiyama, Phys. Rev. Lett.68, 1579 (1992).
4. J W. Mintmire, B I. Dunlap, and C T. White, Phys. Rev. Lett.68, 631 (1992).
5. A. Thess, R. Lee, P. Nikolaev, H. Dai, P. Petit, J. Robert, Ch. Xu, Y H. Lee, S G. Kim, D T. Colbert, G. Scuseria, T. Tomanek, J E. Fischer, and R E. Smalley, Science273, 483 (1996).
6. C. Journet, W K. Maser, P. Bernier, A. Loiseau, M. Lamy de la Chapelle, S. Lefrant, P. Deniard, R. Lee, and J E. Fischer, Nature (London)388, 756 (1997).
7. A. Fonseca, K. Hernadi, P. Piedigrosso, J.-F. Colomer, K. Mukhopadhyay, R. Doome, S. Lazarescu, L P. Biro, Ph. Lambin, P A. Thiry, D. Bernaerts, and J B. Nagy, Appl. Phys. A: Mater. Sci. Process.67, 11 (1998).
8. J H. Hafner, M J. Bronikowski, B R. Azamian, P. Nikolaev, A G. Rinzler, D T. Colbert, K A. Smith, and R E. Smalley, Chem. Phys. Lett.296, 195 (1998).
9. K. Tohji, T. Goto, H. Takahashi, Y. Shinoda, N. Shimizu, B. Jeyadevan, I. Matsuoka, Y. Saito, A. Kasuya, T. Ohsuna, K. Hiraga, and Y. Nishina, Nature (London)383, 679 (1996).
10. S. Bandow, A M. Rao, K A. Williams, A. Thess, R E. Smalley, and P C. Eklund, J. Phys. Chem. B101, 8839 (1997).
11. G S. Duesberg, J. Muster, V. Krstic, M. Burghard, and S. Roth, Appl. Phys. A: Mater. Sci. Process.67, 117 (1998).
12. E. Dujardin, T W. Ebbesen, A. Krishnan, and M M J. Treacy, Adv. Mater.10, 611 (1998).
13. A G. Rinzler, J. Liu, H. Dai, P. Nikolaev, C B. Huffman, F J. Rodríguez-Macías, P J. Boul, A H. Lu, D. Heymann, D T. Colbert, R S. Lee, J E. Fischer, A M. Rao, P C. Eklund, and R E. Smalley, Appl. Phys. A: Mater. Sci. Process.67, 29 (1998).
14. K B. Shelimov, R O. Esenaliev, A G. Rinzler, C B. Huffman, and R E. Smalley, Chem. Phys. Lett.282, 429 (1998).
15. A. Bachtold, M. Henry, C. Terrier, C. Strunk, C. Schönenberger, J.-P. Salvetat, J.-M. Bonard, and L. Forró, Appl. Phys. Lett.73, 274 (1998).
16. A. Bezryadin, A R M. Verschueren, S J. Tans, and C. Dekker, Phys. Rev. Lett.80, 4036 (1998).
17. D L. Carroll, P. Redlich, P M. Ajayan, J C. Charlier, X. Blase, A. De Vita, and R. Car, Phys. Rev. Lett.78, 2811 (1997).
18. S. Frank, P. Poncharal, Z L. Wang, and W A. de Heer, Science280, 1744 (1998).
19. T W. Odom, J.-L. Huang, P. Kim, and C M. Lieber, Nature (London)391, 62 (1998).
20. S J. Tans, M H. Devoret, H. Dai, A. Thess, R E. Smalley, L J. Geerligs, and C. Dekker, Nature (London)386, 474 (1997).
21. J.-P. Salvetat, G A D. Briggs, J.-M. Bonard, R R. Bacsa, A J. Kulik, T. Stöckli, N. Burnham, and L. Forró, Phys. Rev. A82, 944 (1999).
22. J.-P. Salvetat, A J. Kulik, G A D. Briggs, J.-M. Bonard, T. Stöckli, N. Burnham, and L. Forró, Adv. Mater.11, 161 (1999).
23. P S. Davids, L. Wang, A. Saxena, and A R. Bishop, Phys. Rev. B49, 5682 (1994).
24. X. Jiang, Phys. Rev. B54, 13 487 (1996).
25. O. Sato, Y. Tanaka, M. Kobayashi, and A. Hasegawa, Phys. Rev. B48, 1947 (1993).
26. C. Yannouleas, E N. Bogachek, and U. Landman, Phys. Rev. B50, 7977 (1994).
27. P. Longe and S M. Bose, Phys. Rev. B48, 18 239 (1993).
28. C. Yannouleas, E N. Bogachek, and U. Landman, Phys. Rev. B53, 10 225 (1996).
29. P S. Davids, L. Wang, A. Saxena, and A R. Bishop, Phys. Rev. B51, 4557 (1995).
30. M F. Lin, K W.-K. Shung, and K W K. Shung, Phys. Rev. B47, 6617 (1993).
31. M F. Lin, D S. Chuu, C S. Huang, Y K. Lin, and K. W.-K. Shung, Phys. Rev. B53, 15 493 (1996).
32. B. Vasvári, Phys. Rev. B55, 7993 (1997).
33. M F. Lin, D S. Chuu, and K W.-K. Shung, Phys. Rev. B56, 1430 (1997).
34. In consequence, our model assumes the electronic properties of carbon nanotubes to be quasimetallic.
35. T. Stöckli, J.-M. Bonard, A. Châtelain, Z L. Wang, and P. Stadelmann, Phys. Rev. B61, 5751 (2000).
36. Z L. Wang, Micron27, 265 (1996).
37. F. Bloch, Z. Phys.81, 363 (1933).
38. H. Jensen, Z. Phys.106, 620 (1937).
39. J. Crowell and R H. Ritchie, Phys. Rev.172, 436 (1968).
40. R. Ruppin, J. Phys. Chem. Solids39, 233 (1978).
41. F. Fujimoto and K. Komaki, J. Phys. Soc. Jpn.25, 1678 (1968).
42. A L. Fetter, Ann. Phys. (N.Y.)88, 1 (1974).
43. Y T. Chu, R J. Warmack, R H. Ritchie, J W. Little, R S. Becker, and T L. Ferrell, Part. Accel.16, 13 (1984).
44. J D. Jackson, Classical Electrodynamics (John Wiley and Sons, New York, 1975).
45. M. Abramowitz and I A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1965).
46. G N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, 1996).
47. R F. Egerton, Electron Energy-Loss Spectroscopy in the Electron Microscope (Plenum Press, New York, 1996).
48. S. Wolfram, The Mathematica Book (Addison-Wesley, New York 1996).
49. T. Stöckli, Ph.D. thesis, Swiss Federal Institute of Technology of Lausanne, 1999.
50. H. Raether, Excitation of Plasmons and Interband Transitions by Electrons (Springer, Berlin, 1980).
51. Our model could also be used to simulate the excitation of the (formula presented) electrons, simply by choosing the appropriate parameters. Treating the (formula presented) and the (formula presented) electrons separately is equivalent to the two-fluid hydrodynamic approach proposed by Jiang (Ref. 24) for the calculation of the plasmon dispersion relation of a single-wall carbon nanotube.
52. E D. Palik, Handbook of Optical Constants of Solids (Academic Press, New York, 1985).
53. E A. Taft and H R. Philipp, Phys. Rev.138, 197 (1965).
54. H. Venghaus, Phys. Status Solidi B71, 609 (1975).
55. J. Daniels, C. Festenberg, H. Raether, and K. Zeppenfeld, Optical Constants of Solids by Electron Spectroscopy (Springer, Berlin, 1979).
56. P R. Wallace, Phys. Rev.71, 622 (1947).
57. N W. Ashcroft and N D. Mermin, Solid State Physics (Saunders College, Fort Worth, 1976).
58. T. Kuzuo, M. Terauchi, M. Tanaka, and Y. Saito, Jpn. J. Appl. Phys. Part 233, L1316 (1994).
59. T. Pichler, M. Knupfer, M S. Golden, J. Fink, A. Rinzler, and R E. Smalley, Phys. Rev. Lett.80, 4729 (1998).
60. T. Stöckli, A. Châtelain, Z L. Wang, and P. Stadelmann, J.-M. Bonard (unpublished).