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Ultrafast Phenomena in Semiconductors pp 405–442Cite as

Coherent Spectroscopy on Quantum Wires

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Abstract

Low-dimensional semiconductor structures have attracted strong attention during the past two decades [1]. These developments were driven both by the expectation of novel physical phenomena in these structures and by their large application potential. While for quantum wells a detailed understanding of the electronic properties has already been obtained, for quantum wires and quantum dots there is still a considerable lack of knowledge.

In particular, the kinetic processes in these structures have not been very well understood up to now. The spectroscopic technique of four-wave mixing (FWM) has been shown to be a very elegant technique to provide insight into these processes [2, 3, 4]. Most of these studies, however, were done on three- and two-dimensional semiconductor structures. Here we extend these studies to the case of quantum wires. Further, FWM experiments are not capable of giving insight into the carrier dynamics, but they also give insight into the excitonic structure through the observation of quantum beats. In this article we want to review our FWM experiments performed during the last few years and to compare them to studies reported in the literature. For a systematic understanding of the effects of confinement and of dimensionality the size dependence of the physical properties has to be studied experimentally. This possibility is offered by the fabrication of nanostructures by lithographic techniques, which permit one to vary both size and shape of the structures. Here we have investigated InGaAs/GaAs quantum wires fabricated by patterning of quantum well structures by means of FWM.

The chapter is organized as follows: First we will present the results of linear spectroscopic studies on quantum wire structures, and we describe the experimental setup used for the FWM studies. In Section 8.2 we report on the exciton structure in the one-dimensional structure as determined from quantum beat spectroscopy. Section S.3 will be devoted to the study of the scattering of excitons by either phonons or by excitons.

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References

  1. see, for example, C. Weisbuch and B. Vinter, Quantum Semiconductor Structures: Fundamentals and Applications (Academic Press, San Diego, 1991).

    Google Scholar 

  2. J. Kuhl, A. Honold, L. Schultheis and C.W. Tu, Festkörperprobleme 29, 157 (1989).

    CAS  Google Scholar 

  3. J.M. Hvam, in Nonlinear Spectroscopy of Solids: Advances and Applications ed. by B. Di Bartolo and B. Bowlby (Plenum Press, New York, 1994), p. 91.

    Google Scholar 

  4. J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures (Springer Verlag, Berlin, 1996).

    Google Scholar 

  5. T. Ogawa and T. Takagahara, Phys. Rev. B 43, 14325 (1991).

    Article  Google Scholar 

  6. M. Bayer, S.N. Walck, T.L. Reinecke and A. Forchel, Phys. Rev. B 57, 6584 (1998).

    Article  CAS  Google Scholar 

  7. M. Bayer, A. Forchel, I.E. Itskevich, T.L. Reinecke, P.A. Knipp, Ch. Gréus, R. Spiegel and F. Faller, Phys. Rev. B 49, 14782 (1994).

    Article  CAS  Google Scholar 

  8. Y.-C. Chang, L.L. Chang and L. Esaki, Appl. Phys. Lett. 47, 1324 (1985).

    Article  CAS  Google Scholar 

  9. J.W. Brown and H.N. Spector, Phys. Rev. B 35, 3009 (1987).

    Article  Google Scholar 

  10. M.H. Degani and O. Hipólito, Phys. Rev. B 35, 9345 (1987).

    Article  CAS  Google Scholar 

  11. P. Christol, P. Lefebvre and H. Mathieu, J. Appl. Phys. 74, 5626 (1993).

    Article  CAS  Google Scholar 

  12. F. Rossi, G. Goldoni and E. Molinari, Phys. Rev. Lett. 78, 3527 (1997).

    Article  CAS  Google Scholar 

  13. Y. Nagamune, Y. Arakawa, S. Tsukamoto, M. Nishioka, S. Sasaki und N. Miura, Phys. Rev. Lett. 69, 2963 (1992).

    Article  CAS  Google Scholar 

  14. R. Rinaldi, R. Cingolani, M. Lepore, M. Ferrara, I.M. Catalano, F. Rossi, L. Rota, E. Molinari, P. Lugli, U. Marti, D. Martin, F. Morier-Gemoud, P. Ruterana and F.K. Reinhart, Phys. Rev. Lett. 73, 2899 (1994).

    Article  CAS  Google Scholar 

  15. Y Nagamune, T. Tanaka, T. Kono, S. Tsukamoto, M. Nishioka, Y Arakawa, K. Uchida and N. Miura, Appl. Phys. Lett. 66, 2502 (1995).

    Article  CAS  Google Scholar 

  16. H. Weman, M. Potemski, M.E. Lazzouni, M.S. Miller and J.L. Merz, Phys. Rev. B 53, 6959 (1996).

    Article  CAS  Google Scholar 

  17. M. Bayer, S. Walck, T.L. Reinecke and A. Forchel, Europhys. Lett. 39, 453 (1997).

    Article  CAS  Google Scholar 

  18. W. Wegscheider, L.N. Pfeiffer, M.M. Dignam, A. Pinczuk, K.W. West, S.L. McCall and R. Hull, Phys. Rev. Lett. 71, 4071 (1993).

    Article  CAS  Google Scholar 

  19. T. Someya, H. Akiyama and H. Sakaki, Phys. Rev. Lett. 76, 2965 (1996).

    Article  CAS  Google Scholar 

  20. B.F. Feuerbacher, J. Kuhl, R. Eccleston and K. Ploog, Solid State Commun. 74, 1279 (1990).

    Article  CAS  Google Scholar 

  21. K. Leo, T.C. Damen, J. Shah, E.O. Göbel and K. Köhler, Appl. Phys. Lett. 57, 19 (1990).

    Article  CAS  Google Scholar 

  22. V. Langer, H. Stolz and W. von der Osten, Phys. Rev. Lett. 64, 854 (1990).

    Article  CAS  Google Scholar 

  23. K. Leo, T.C. Damen, J. Shah and K. Köhler, Phys. Rev. B 42, 11359 (1990).

    Article  CAS  Google Scholar 

  24. E.O. Göbel, K. Leo, T.C. Damen, J. Shah, S. Schmitt-Rink, W. Schäfer, J.F. Müller and K. Köhler, Phys. Rev. Lett. 64, 1801 (1990).

    Article  Google Scholar 

  25. M. Koch, J. Feldmann, G. von Plessen, E.O. Göbel, P. Thomas and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).

    Article  CAS  Google Scholar 

  26. J. Feldmann, T. Meier, G. von Plessen, M. Koch, E.O. Göbel, P. Thomas, G. Bacher, C. Hartmann, H. Schweizer, W. Schäfer and H. Nickel, Phys. Rev. Lett. 70, 3027 (1993).

    Article  CAS  Google Scholar 

  27. E.J. Mayer, J.O. White, G.O. Smith, H. Lage, D. Heitmann, K. Ploog and J. Kuhl, Phys. Rev. B 49, 2993 (1994).

    Article  CAS  Google Scholar 

  28. W. Braun, M. Bayer, A. Forchel, H. Zull, J.P. Reithmaier, A.I. Filin, S.N. Walck, T.L. Reinecke, Phys. Rev. B 55, 9290 (1997).

    Article  CAS  Google Scholar 

  29. J. Feldmann, M. Koch, E.O. Göbel, F. Jahnke, T. Meier, W. Schäfer, P. Thomas, S.W. Koch, H. Nickel, S. Luttgen and W. Stolz, Semicond. Sci. Technol. 9, 1965 (1994).

    Article  CAS  Google Scholar 

  30. R.C. Miller, D.A. Kleinman, A.C. Gossard, and O. Munteanu, Phys. Rev. B. 25, 6545 (1982).

    Article  CAS  Google Scholar 

  31. see e.g. S. Charbonneau, T. Steiner, M.L.W. Thewalt, E.S. Koteies, J.Y. Chi, and B. Elman, Phys. Rev. B 38, 3583 (1988).

    Article  CAS  Google Scholar 

  32. D.J. Lovering, R.T. Phillips, G.J. Denton and G.W. Smith, Phys. Rev. Lett. 68, 1880 (1992).

    Article  CAS  Google Scholar 

  33. B.F. Feuerbacher, J. Kuhl and K. Ploog, Phys. Rev. B 43, 2439 (1991).

    Article  CAS  Google Scholar 

  34. K.-H. Pantke, D. Oberhauser, V.G. Lyssenko, J.M. Hvam, and G. Weimann, Phys. Rev. B 47 2413 (1993).

    Article  CAS  Google Scholar 

  35. D.S. Kim, J. Shah, T.C. Damen, L.N. Pfeiffer and W. Schäfer, Phys. Rev. B 50, 5775 (1994).

    Article  CAS  Google Scholar 

  36. E.J. Mayer, G.O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S.W. Koch, P. Thomas, R. Hey and K. Ploog, Phys. Rev. B 51, 10909 (1995).

    Article  CAS  Google Scholar 

  37. T.F. Albrecht, K. Bott, T. Meier, A. Schulze, M. Koch, S.T. Cundiff, J. Feldmann, W. Stolz, P. Thomas, S.W. Koch, and E.O. Göbel, Phys. Rev. B 54, 4436 (1996).

    Article  CAS  Google Scholar 

  38. D. Birkedal, J. Singh, V.G. Lyssenko, J. Erland and J.M. Hvam, Phys. Rev. Lett. 76, 672 (1996).

    Article  CAS  Google Scholar 

  39. W. Langbein, J.M. Hvam, M. Umlauff, H. Kalt, B. Jobst and D. Hommel, Phys. Rev. B 55, 7383 (1997).

    Article  Google Scholar 

  40. A. Euteneuer, J. Möbius, R. Rettig, E.J. Mayer, M. Hofmann, W. Stolz, E.O. Göbel and W.W. Rühle, Phys. Rev. B 56, 10028 (1997).

    Article  Google Scholar 

  41. S. Adachi, T. Miyashita, S. Takeyama, Y. Takagi, A. Tackeuchi, and M. Nakayama, Phys. Rev. B 55, 1654 (1997).

    Article  CAS  Google Scholar 

  42. W.F. Brinkman, T.M. Rice, and B. Bell, Phys. Rev. B 8, 1570 (1973).

    Article  CAS  Google Scholar 

  43. A.L. Ivanov and H. Haug, Phys. Rev. Lett. 74, 438 (1995).

    Article  CAS  Google Scholar 

  44. K. Brunner, G. Abstreiter, G. Böhm, G. Tränkle, and G. Weimann, Phys. Rev. Lett. 73, 1138 (1994).

    Article  CAS  Google Scholar 

  45. Y.Z. Hu, S.W. Koch, M. Lindberg, N. Peyghambarian, E.L. Pollock, and F.F. Abraham, Phys. Rev. Lett 64, 1805 (1990).

    Article  CAS  Google Scholar 

  46. L. Bânyai, I. Galbraith, C. Ell, and H. Haug, Phys. Rev. B 36, 6099 (1987).

    Article  Google Scholar 

  47. F.L. Madarasz, F. Szmulowicz, F.K. Hopkins, and D.L. Dorsey, Phys. Rev B 49, 13528 (1994); R. O. Klepfer, F.L. Madarasz, and F. Szmulowicz, Phys. Rev. B 51, 4633 (1995).

    Article  CAS  Google Scholar 

  48. see, e.g., W. Schäfer, D.S. Kim, J. Shah, T.C. Damen, J.E. Cunningham, K.W. Goossen, L.N. Pfeiffer, and K. Köhler, Phys. Rev. B 53, 16429 (1996).

    Article  Google Scholar 

  49. see, e.g., H.H. Yaffe, Y. Prior, J.P. Harbison, and L.T. Florez, J. Opt. Soc. Am. B 10, 578 (1993).

    Article  CAS  Google Scholar 

  50. T. Baars, W. Braun, M. Bayer and A. Forchel, Phys. Rev. B 58, 1750 (1998).

    Article  Google Scholar 

  51. S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D.-S. Kim, J. Shah, and K. Köhler, Phys. Rev. B 46, 10460 (1992).

    Article  Google Scholar 

  52. H. Nickolaus and F. Henneberger, Phys. Rev. B 57, 8774 (1998).

    Article  CAS  Google Scholar 

  53. H. Sakaki, Jpn. J. Appl. Phys. 19, L735 (1980).

    Article  CAS  Google Scholar 

  54. S. Briggs and J.P. Leburton, Phys. Rev. B 38, 8163 (1988).

    Article  Google Scholar 

  55. U. Bockelmann and G. Bastard, Phys. Rev. B 42, 8947 (1990).

    Article  CAS  Google Scholar 

  56. G. Fasol, Appl. Phys. Lett. 61, 831 (1992).

    Article  CAS  Google Scholar 

  57. H. Sakaki, Surf. Sci. 267, 623 (1992).

    Article  CAS  Google Scholar 

  58. L. Rota, F. Rossi, S.M. Goodnick, P. Lugli, E. Molinari and W. Porod, Phys. Rev. B 47, 1632 (1993).

    Article  CAS  Google Scholar 

  59. S. Das Sarma and V.B. Campos, Phys. Rev. B 47, 3728 (1993).

    Article  Google Scholar 

  60. S. Rudin and T.L. Reinecke, Phys. Rev. B 41, 3017 (1990).

    Article  Google Scholar 

  61. S. Rudin, T.L. Reinecke and B. Segall, Phys. Rev. B 42, 11218 (1990).

    Article  CAS  Google Scholar 

  62. D.S. Kim, J. Shah, J.E. Cunningham, T.C. Damen, W. Schäfer, M. Hartmann and S. Schmitt-Rink, Phys. Rev. Lett. 68, 1006 (1992).

    Article  CAS  Google Scholar 

  63. V. Srinivas, J. Hryniewicz, Y.J. Chen and C.E.C. Wood, Phys. Rev. B 46, 10193 (1992).

    Article  CAS  Google Scholar 

  64. D. Oberhauser, K.-H. Pantke, J.M. Hvam, G. Weimann and C. Klingshirn, Phys. Rev. B 47, 6827 (1993).

    Article  CAS  Google Scholar 

  65. T. Ruf, J. Spitzer, V.F. Sapega, V.I. Belitsky, M. Cardona and K. Ploog, Phys. Rev. B 50, 1792 (1994).

    Article  CAS  Google Scholar 

  66. D. Gammon, S. Rudin, T.L. Reinecke, D.S. Katzer and C.S. Kyono, Phys. Rev. B 51, 16785 (1995).

    Article  CAS  Google Scholar 

  67. J. Lee, E.S. Koteles and M.O. Vassell, Phys. Rev. B 33, 5512 (1986).

    Article  CAS  Google Scholar 

  68. E.J. Mayer, N.T. Pelekanos, J. Kuhl, N. Magnea and H. Mariette, Phys. Rev. B 51, 17263 (1995).

    Article  CAS  Google Scholar 

  69. H.P. Wagner, A. Schätz, R. Maier, W. Langbein and J.M. Hvam, Phys. Rev. B 56, 12581 (1997).

    Article  CAS  Google Scholar 

  70. W. Braun, M. Bayer, A. Forchel, H. Zull, J.P. Reithmaier, A.I. Filin, T.L. Reinecke, Phys. Rev. B 56, 12096 (1997).

    Article  CAS  Google Scholar 

  71. T. Yajima and Y. Taira, J. Phys. Soc. Jpn. 47, 1620 (1979).

    Article  CAS  Google Scholar 

  72. M. Oestreich, W.W. Rühle, H. Lage, D. Heitmann and K. Ploog, Phys. Rev. Lett. 70, 1682 (1993).

    Article  CAS  Google Scholar 

  73. W. Braun, M. Bayer, A. Forchel, O.M. Schmitt, L. Bányai, H. Haug, A.I. Filin, Phys. Rev. B 58, 12364 (1998).

    Article  Google Scholar 

  74. L. Schultheis, J. Kuhl, A. Honold and C.W. Tu, Phys. Rev. Lett. 57, 1635 (1986).

    Article  CAS  Google Scholar 

  75. A. Honold, L. Schultheis, J. Kuhl and C.W. Tu, Phys. Rev. B 40, 6442 (1989).

    Article  CAS  Google Scholar 

  76. G. Manzke, K. Henneberger and V. May, phys. stat. sol. (b) 139, 233 (1987).

    Article  CAS  Google Scholar 

  77. S. Schmitt-Rink, D.S. Chemla and D.A.B. Miller, Phys. Rev. B 32, 6601 (1985).

    Article  CAS  Google Scholar 

  78. C. Lonsky, P. Thomas and A. Weller, Phys. Rev. Lett. 63, 652 (1989).

    Article  CAS  Google Scholar 

  79. T. Takagahara, J. Lumin. 44, 347 (1989).

    Article  CAS  Google Scholar 

  80. A.J. Fischer, D.S. Kim, J. Hays, W. Shan, J.J. Song, D.B. Eason, J. Ren, J.F. Schetzina, H. Luo and J.K. Furdyna, Phys. Rev. B 50, 17643 (1994).

    Article  CAS  Google Scholar 

  81. M. Koch, G. Bastian, R. Hellmann, J. Feldmann, E.O. Göbel and P. Dawson, Exciton scattering with bare electrons phys. stat. sol. (b) 188, 485 (1995).

    Article  CAS  Google Scholar 

  82. H.P. Wagner, W. Langbein, J.M. Hvam, G. Bacher, T. Kümmell and A. Forchel, Phys. Rev. B 57, 1797 (1998).

    Article  CAS  Google Scholar 

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Authors
  1. M. Bayer
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  2. T. Baars
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  3. W. Braun
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  4. A. Forchel
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Editors and Affiliations

  1. Department of Physics and Astronomy, Arizona State University, Tempe, AZ, 85287, USA

    Kong-Thon Tsen

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Bayer, M., Baars, T., Braun, W., Forchel, A. (2001). Coherent Spectroscopy on Quantum Wires. In: Tsen, KT. (eds) Ultrafast Phenomena in Semiconductors. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0203-2_8

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  • DOI: https://doi.org/10.1007/978-1-4613-0203-2_8

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