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Optical absorption of graphite and single-wall carbon nanotubes

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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.

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References

  1. M.S. Dresselhaus, G. Dresselhaus, P.C. Eklund: Science of Fullerenes and Carbon Nanotubes (Academic, New York, NY, San Diego, CA 1996)

  2. R. Saito, G. Dresselhaus, M.S. Dresselhaus: Physical Properties of Carbon Nanotubes (Imperial College Press, London 1998)

  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)

  4. H. Ajiki, T. Ando: Physica B: Condens. Matter 201, 349 (1994)

    Article  ADS  Google Scholar 

  5. H. Ajiki, T. Ando: Jpn. J. Appl. Phys. Suppl. 34, 107 (1995)

    Article  ADS  Google Scholar 

  6. R. Saito, M. Fujita, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 46, 1804 (1992)

    Article  ADS  Google Scholar 

  7. R. Saito, M. Fujita, G. Dresselhaus, M.S. Dresselhaus: Appl. Phys. Lett. 60, 2204 (1992)

    Article  ADS  Google Scholar 

  8. T. Ando, T. Nakanishi, R. Saito: J. Phys. Soc. Jpn. 67, 2857 (1998)

    Article  ADS  Google Scholar 

  9. C. Thomsen, S. Reich: Phys. Rev. Lett. 85, 5214 (2000)

    Article  ADS  Google Scholar 

  10. R. Saito, A. Jorio, A.G. Souza Filho, G. Dresselhaus, M.S. Dresselhaus, M.A. Pimenta: Phys. Rev. Lett. 88, 027401 (2002)

    Article  ADS  Google Scholar 

  11. J. Kürti, V. Zólyomi, A. Grüneis, H. Kuzmany: Phys. Rev. B 65, 165433 (2002)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  14. X. Zhao, Y. Ando, L.-C. Qin, H. Kataura, Y. Maniwa, R. Saito: Appl. Phys. Lett. 81, 2550 (2002)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  16. S.M. Bachilo, M.S. Strano, C. Kittrell, R.H. Hauge, R.E. Smalley, R.B. Weisman: Science 298, 2361 (2002)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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

  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)

    Article  Google Scholar 

  22. R.B. Weisman, S.M. Bachilo: Nano Lett. 3, 1235 (2003)

    Article  ADS  Google Scholar 

  23. M.S. Dresselhaus, G. Dresselhaus, A. Jorio, A.G. Souza Filho, G.G. Samsonidze, R. Saito: J. Nanosci. Nanotechnol. 3, 19 (2003)

    Article  Google Scholar 

  24. A.G. Souza Filho, A. Jorio, G.G. Samsonidze, G. Dresselhaus, R. Saito, M.S. Dresselhaus: Nanotechnology 14, 1130 (2003)

    Article  ADS  Google Scholar 

  25. P.L. McEuen, M. Bockrath, D.H. Cobden, Y.G. Yoon, S.G. Louie: Phys. Rev. Lett. 83, 5098 (1999)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  27. Z. Yu, L.E. Brus: J. Phys. Chem. B 105, 743 (2001)

    Google Scholar 

  28. R. Saito, G. Dresselhaus, M.S. Dresselhaus: Phys. Rev. B 61, 2981 (2000)

    Article  ADS  Google Scholar 

  29. K. Wakabayashi, M. Fujita, H. Ajiki, M. Sigrist: Phys. Rev. B 59, 8271 (1999)

    Article  ADS  Google Scholar 

  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)

    Article  Google Scholar 

  31. M.S. Dresselhaus, P.C. Eklund: Adv. Phys. 49, 705 (2000)

    Article  ADS  Google Scholar 

  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)

    Article  Google Scholar 

  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)]

  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)

    Article  Google Scholar 

  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)

    ADS  Google Scholar 

  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)

  37. S. Kazaoui, N. Minami, R. Jacquemin, H. Kataura, Y. Achiba: Phys. Rev. B 60, 13339 (1999)

    Article  ADS  Google Scholar 

  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)

  39. M.F. Lin: Phys. Rev. B 62, 13153 (2000)

    Article  ADS  Google Scholar 

  40. F.J. Garcia-Vidal, J.M. Pitarke: Eur. Phys. J. B 22, 257 (2001)

    Article  ADS  Google Scholar 

  41. G.S. Duesberg, I. Loa, M. Burghard, K. Syassen, S. Roth: Phys. Rev. Lett. 85, 5436 (2000)

    Article  ADS  Google Scholar 

  42. Z. Yu, L.E. Brus: J. Phys. Chem. B 105, 1123 (2001)

    Article  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

  45. H. Ajiki, T. Ando: Physica 201, 349 (1994); T. Ando: J. Phys. Soc. Jpn. 66, 1066 (1997)

    Google Scholar 

  46. L.X. Benedict, S.G. Louie, M.L. Cohen: Phys. Rev. B 52, 8541 (1995)

    Article  ADS  Google Scholar 

  47. A.G. Marinopoulos, L. Reining, A. Rubio, N. Vast: Phys. Rev. Lett. 91, 046402 (2003) and references therein

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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

  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

  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)

    Article  ADS  Google Scholar 

  52. J. Lefebvre, Y. Homma, P. Finnie: Phys. Rev. Lett. 90, 217401 (2003)

    Article  ADS  Google Scholar 

  53. T. Hertel, E. Knoesel, M. Wolf, G. Ertl: Phys. Rev. Lett. 76, 535 (1996)

    Article  ADS  Google Scholar 

  54. G. Moos, R. Fasel, T. Hertel: J. Nanosci. Nanotechnol. 3, 145 (2003)

    Article  Google Scholar 

  55. T. Ando: J. Phys. Soc. Jpn. 66, 1066 (1997)

    Article  ADS  Google Scholar 

  56. M. Ichida, S. Mizuno, Y. Tani, Y. Saito, A. Nakamura: J. Phys. Soc. Jpn. 68, 3131 (1999)

    Article  ADS  Google Scholar 

  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

  58. C.L. Kane, E.J. Mele: Phys. Rev. Lett. 90, 207401 (2003)

    Article  ADS  Google Scholar 

  59. S.G. Louie: NT03 (Intern. Symp. on carbon nanotubes 2003), presentation, (Seoul, Korea 2003)

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78.30.Na; 78.20.Bh; 78.66.Tr; 63.22.+m; 36.20.Kd; 36.20.Ng

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Saito, R., Grüneis, A., Samsonidze, G. et al. Optical absorption of graphite and single-wall carbon nanotubes. Appl. Phys. A 78, 1099–1105 (2004). https://doi.org/10.1007/s00339-003-2459-z

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