Applied Physics A

, Volume 78, Issue 8, pp 1099–1105 | Cite as

Optical absorption of graphite and single-wall carbon nanotubes

  • R. Saito
  • A. Grüneis
  • G.G. Samsonidze
  • G. Dresselhaus
  • M.S. Dresselhaus
  • A. Jorio
  • L.G. Cançado
  • M.A. Pimenta
  • A.G. Souza Filho
Article

Abstract

A review of the electronic dipole transitions in graphite and single-wall carbon nanotubes is presented. Because of its singular electronic structure, the optical absorption matrix element as a function of wave vector has a node in the two-dimensional Brillouin zone of graphite, which depends linearly on the optical polarization direction. In the case of the single-wall carbon nanotubes, the dipole selection rule and the van Hove singularity in the joint density of states will give a characteristic behavior, which is observed by luminescence and resonance Raman spectroscopy.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.S. Dresselhaus, G. Dresselhaus, P.C. Eklund: Science of Fullerenes and Carbon Nanotubes (Academic, New York, NY, San Diego, CA 1996) Google Scholar
  2. 2.
    R. Saito, G. Dresselhaus, M.S. Dresselhaus: Physical Properties of Carbon Nanotubes (Imperial College Press, London 1998) Google Scholar
  3. 3.
    R. Saito, H. Kataura: in Carbon Nanotubes: Synthesis, Structure, Properties and Applications, ed. by M.S. Dresselhaus, G. Dresselhaus, Ph. Avouris (Springer Ser. Top. Appl. Phys. 80) (Springer, Berlin 2001) Google Scholar
  4. 4.
    H. Ajiki, T. Ando: Physica B: Condens. Matter 201, 349 (1994) ADSCrossRefGoogle Scholar
  5. 5.
    H. Ajiki, T. Ando: Jpn. J. Appl. Phys. Suppl. 34, 107 (1995) ADSCrossRefGoogle Scholar
  6. 6.
    R. Saito, M. Fujita, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 46, 1804 (1992) ADSCrossRefGoogle Scholar
  7. 7.
    R. Saito, M. Fujita, G. Dresselhaus, M.S. Dresselhaus: Appl. Phys. Lett. 60, 2204 (1992) ADSCrossRefGoogle Scholar
  8. 8.
    T. Ando, T. Nakanishi, R. Saito: J. Phys. Soc. Jpn. 67, 2857 (1998) ADSCrossRefGoogle Scholar
  9. 9.
    C. Thomsen, S. Reich: Phys. Rev. Lett. 85, 5214 (2000) ADSCrossRefGoogle Scholar
  10. 10.
    R. Saito, A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus, M.A. Pimenta: Phys. Rev. Lett. 88, 027401 (2002) ADSCrossRefGoogle Scholar
  11. 11.
    J. Kürti, V. Zólyomi, A. Grüneis, H. Kuzmany: Phys. Rev. B 65, 165433 (2002) ADSCrossRefGoogle Scholar
  12. 12.
    A. Grüneis, R. Saito, G.G. Samsonidze, T. Kimura, M.A. Pimenta, A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 67, 165402 (2003) ADSCrossRefGoogle Scholar
  13. 13.
    A. Jorio, R. Saito, J.H. Hafner, C.M. Lieber, M. Hunter, T. McClure, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. Lett. 86, 1118 (2001) ADSCrossRefGoogle Scholar
  14. 14.
    X. Zhao, Y. Ando, L.-C. Qin, H. Kataura, Y. Maniwa, R. Saito: Appl. Phys. Lett. 81, 2550 (2002) ADSCrossRefGoogle Scholar
  15. 15.
    M.J. O’Connell, S.M. Bachilo, X.B. Huffman, V.C. Moore, M.S. Strano, E.H. Haroz, K.L. Rialon, P.J. Boul, W.H. Noon, C. Kittrell, J. Ma, R.H. Hauge, R.B. Weisman, R.E. Smalley: Science 297, 593 (2002) ADSCrossRefGoogle Scholar
  16. 16.
    S.M. Bachilo, M.S. Strano, C. Kittrell, R.H. Hauge, R.E. Smalley, R.B. Weisman: Science 298, 2361 (2002) ADSCrossRefGoogle Scholar
  17. 17.
    K. Kneipp, H. Kneipp, P. Corio, S.D.M. Brown, K. Shafer, J. Motz, L.T. Perelman, E.B. Hanlon, A. Marucci, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. Lett. 84, 3470 (2000) ADSCrossRefGoogle Scholar
  18. 18.
    A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus, R. Saito, J.H. Hafner, C.M. Lieber, F.M. Matinaga, M.S.S. Dantas, M.A. Pimenta: Phys. Rev. B 63, 245416 (2001) ADSCrossRefGoogle Scholar
  19. 19.
    A. Jorio, M.A. Pimenta, A.G. Souza Filho, G.G. Samsonidze, A.K. Swan, M.S. Ünlü, B.B. Goldberg, R. Saito, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. Lett. 90, 107403 (2003) ADSCrossRefGoogle Scholar
  20. 20.
    G.G. Samsonidze, A. Grüneis, R. Saito, A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B (2004), in press Google Scholar
  21. 21.
    M.S. Strano, M.K. Miller, M.J. Allen, V.C. Moore, M.J. O’Connell, C. Kittrell, R.H. Hauge, R.E. Smalley: J. Nanosci. Nanotechnol. 3, 81 (2003) CrossRefGoogle Scholar
  22. 22.
    R.B. Weisman, S.M. Bachilo: Nano Lett. 3, 1235 (2003) ADSCrossRefGoogle Scholar
  23. 23.
    M.S. Dresselhaus, G. Dresselhaus, A. Jorio, A.G. Souza Filho, G.G. Samsonidze, R. Saito: J. Nanosci. Nanotechnol. 3, 19 (2003) CrossRefGoogle Scholar
  24. 24.
    A.G. Souza Filho, A. Jorio, G.G. Samsonidze, G. Dresselhaus, R. Saito, M.S. Dresselhaus: Nanotechnology 14, 1130 (2003) ADSCrossRefGoogle Scholar
  25. 25.
    P.L. McEuen, M. Bockrath, D.H. Cobden, Y.G. Yoon, S.G. Louie: Phys. Rev. Lett. 83, 5098 (1999) ADSCrossRefGoogle Scholar
  26. 26.
    A.G. Souza Filho, A. Jorio, J.H. Hafner, C.M. Lieber, R. Saito, M.A. Pimenta, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 63, 241404R (2001) ADSCrossRefGoogle Scholar
  27. 27.
    Z. Yu, L.E. Brus: J. Phys. Chem. B 105, 743 (2001) Google Scholar
  28. 28.
    R. Saito, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 61, 2981 (2000) ADSCrossRefGoogle Scholar
  29. 29.
    K. Wakabayashi, M. Fujita, H. Ajiki, M. Sigrist: Phys. Rev. B 59, 8271 (1999) ADSCrossRefGoogle Scholar
  30. 30.
    A.M. Rao, E. Richter, S. Bandow, B. Chase, P.C. Eklund, K.W. Williams, S. Fang, K.R. Subbaswamy, M. Menon, A. Thess, R.E. Smalley, G. Dresselhaus, M.S. Dresselhaus: Science 275, 187 (1997) CrossRefGoogle Scholar
  31. 31.
    M.S. Dresselhaus, P.C. Eklund: Adv. Phys. 49, 705 (2000) ADSCrossRefGoogle Scholar
  32. 32.
    R. Saito, A. Grüneis, G.G. Samsonidze, V.W. Brar, G. Dresselhaus, M.S. Dresselhaus, A. Jorio, L.G. Cançado, C. Fantini, M.A. Pimenta, A.G. Souza Filho: New J. Phys. 5, 151 (2003) CrossRefGoogle Scholar
  33. 33.
    H. Kataura, Y. Kumazawa, N. Kojima, Y. Maniwa, I. Umezu, S. Masubuchi, S. Kazama, X. Zhao, Y. Ando, Y. Ohtsuka, S. Suzuki, Y. Achiba: in Proc. Int. Winter Sch. Electronic Properties of Novel Materials (IWEPNM’99), ed. by H. Kuzmany, M. Mehring, J. Fink (American Institute of Physics, Woodbury, NY 1999) [AIP Conf. Proc. 486, 328 (1999)] Google Scholar
  34. 34.
    G.G. Samsonidze, R. Saito, A. Jorio, M.A. Pimenta, A.G. Souza Filho, A. Grüneis, G. Dresselhaus, M.S. Dresselhaus: J. Nanosci. Nanotechnol. 3, 431 (2003) CrossRefGoogle Scholar
  35. 35.
    M.A. Pimenta, A. Marucci, S.D.M. Brown, M.J. Matthews, A.M. Rao, P.C. Eklund, R.E. Smalley, G. Dresselhaus, M.S. Dresselhaus: J. Mater. Res. 13, 2396 (1998) ADSGoogle Scholar
  36. 36.
    M.A. Pimenta, A. Marucci, S. Empedocles, M. Bawendi, E.B. Hanlon, A.M. Rao, P.C. Eklund, R.E. Smalley, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B Rapid 58, R16016 (1998) Google Scholar
  37. 37.
    S. Kazaoui, N. Minami, R. Jacquemin, H. Kataura, Y. Achiba: Phys. Rev. B 60, 13339 (1999) ADSCrossRefGoogle Scholar
  38. 38.
    J. Hwang, H.H. Gommans, A. Ugawa, H. Tashiro, R. Haggenmueller, K.I. Winey, J.E. Fischer, D.B. Tanner, A.G. Rinzler: Phys. Rev. B 62, R13310 (2000) Google Scholar
  39. 39.
    M.F. Lin: Phys. Rev. B 62, 13153 (2000) ADSCrossRefGoogle Scholar
  40. 40.
    F.J. Garcia-Vidal, J.M. Pitarke: Eur. Phys. J. B 22, 257 (2001) ADSCrossRefGoogle Scholar
  41. 41.
    G.S. Duesberg, I. Loa, M. Burghard, K. Syassen, S. Roth: Phys. Rev. Lett. 85, 5436 (2000) ADSCrossRefGoogle Scholar
  42. 42.
    Z. Yu, L.E. Brus: J. Phys. Chem. B 105, 1123 (2001) CrossRefGoogle Scholar
  43. 43.
    A. Jorio, G. Dresselhaus, M.S. Dresselhaus, M. Souza, M.S.S. Dantas, M.A. Pimenta, A.M. Rao, R. Saito, C. Liu, H.M. Cheng: Phys. Rev. Lett. 85, 2617 (2000) ADSCrossRefGoogle Scholar
  44. 44.
    A. Jorio, A.G. Souza Filho, V.W. Brar, A.K. Swan, M.S. Ünlü, B.B. Goldberg, A. Righi, J.H. Hafner, C.M. Lieber, R. Saito, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B Rapid 65, R121402 (2002) Google Scholar
  45. 45.
    H. Ajiki, T. Ando: Physica 201, 349 (1994); T. Ando: J. Phys. Soc. Jpn. 66, 1066 (1997) Google Scholar
  46. 46.
    L.X. Benedict, S.G. Louie, M.L. Cohen: Phys. Rev. B 52, 8541 (1995) ADSCrossRefGoogle Scholar
  47. 47.
    A.G. Marinopoulos, L. Reining, A. Rubio, N. Vast: Phys. Rev. Lett. 91, 046402 (2003) and references therein ADSCrossRefGoogle Scholar
  48. 48.
    A.M. Rao, A. Jorio, M.A. Pimenta, M.S.S. Dantas, R. Saito, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. Lett. 84, 1820 (2000); see also: Comment in Phys. Rev. Lett. 85, 3545 (2000) ADSCrossRefGoogle Scholar
  49. 49.
    A. Grueneis, R. Saito, J. Jiang, Ge.G. Samsonidze, M.A. Pimenta, A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus: Chem. Phys. Lett. (2004), in press Google Scholar
  50. 50.
    A.G. Souza Filho, S.G. Chou, Ge.G. Somsonidze, G. Dresselhaus, M.S. Dresselhaus, L. An, J. Liu, A.K. Swan, M.S. Ünlü, B.B. Goldberg, A.Jorio, A. Grüneis, R. Saito: Phys. Rev. B (2004), in press Google Scholar
  51. 51.
    Z.M. Li, Z.K. Tang, H.J. Liu, N. Wang, C.T. Chan, R. Saito, S. Okada, G.D. Li, J.S. Chen, N. Nagasawa, S. Tsuda: Phys. Rev. Lett. 87, 127401 (2001) ADSCrossRefGoogle Scholar
  52. 52.
    J. Lefebvre, Y. Homma, P. Finnie: Phys. Rev. Lett. 90, 217401 (2003) ADSCrossRefGoogle Scholar
  53. 53.
    T. Hertel, E. Knoesel, M. Wolf, G. Ertl: Phys. Rev. Lett. 76, 535 (1996) ADSCrossRefGoogle Scholar
  54. 54.
    G. Moos, R. Fasel, T. Hertel: J. Nanosci. Nanotechnol. 3, 145 (2003) CrossRefGoogle Scholar
  55. 55.
    T. Ando: J. Phys. Soc. Jpn. 66, 1066 (1997) ADSCrossRefGoogle Scholar
  56. 56.
    M. Ichida, S. Mizuno, Y. Tani, Y. Saito, A. Nakamura: J. Phys. Soc. Jpn. 68, 3131 (1999) ADSCrossRefGoogle Scholar
  57. 57.
    M. Ichida, S. Mizuno, S. Kuno, Y. Saito, H. Kataura, Y. Achiba, A. Nakamura: in Proc. 25th Int. Conf. Physics of Semiconductors, Osaka, Japan, ed. by N. Miura, T. Ando (Japanese Physical Society, Tokyo 2000) p. 1685 Google Scholar
  58. 58.
    C.L. Kane, E.J. Mele: Phys. Rev. Lett. 90, 207401 (2003) ADSCrossRefGoogle Scholar
  59. 59.
    S.G. Louie: NT03 (Intern. Symp. on carbon nanotubes 2003), presentation, (Seoul, Korea 2003)Google Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • R. Saito
    • 1
  • A. Grüneis
    • 1
  • G.G. Samsonidze
    • 2
  • G. Dresselhaus
    • 2
  • M.S. Dresselhaus
    • 2
  • A. Jorio
    • 3
  • L.G. Cançado
    • 3
  • M.A. Pimenta
    • 3
  • A.G. Souza Filho
    • 4
  1. 1.Department of PhysicsTohoku University and CREST JSTAoba SendaiJapan
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA
  3. 3.Departamento de FísicaUniversidade Federal de Minas Gerais,Belo HorizonteBrazil
  4. 4.Departamento de FísicaUniversidade Federal do CearáFortalezaBrazil

Personalised recommendations