Applied Physics A

, Volume 53, Issue 6, pp 491–502 | Cite as

Optical properties of quasi-zero-dimensional magneto-excitons

  • S. Schmitt-Rink
  • J. B. Stark
  • W. H. Knox
  • D. S. Chemla
  • W. Schäfer
Nonlinear Optical Materials

Abstract

We discuss the evolution of optical properties of semiconductor quantum wells, as the quasi-two-dimensional electronic states are further confined into quasi-zero dimensions by a perpendicular magnetic field. We show that confinement in all three directions strongly modifies both linear and nonlinear optical response. In particular, quasi-zero-dimensionality makes an ensemble of magneto-excitons a unique many-body system, distinct from higher-dimensional excitons and the one-component Coulomb system in the fractional quantum Hall regime or Wigner crystal.

PACS

71.35 78.20 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    The Quantum Hall Effect, ed. by R.E. Prange, S.M. Girvin (Springer, New York 1987)Google Scholar
  2. 2.
    Nanostructure Physics and Fabrication, ed. by M.A. Reed, W.P. Kirk (Academic, New York 1989)Google Scholar
  3. 3.
    S. Schmitt-Rink, D.S. Chemla, D.A.B. Miller: Adv. Phys. 38, 89 (1989)Google Scholar
  4. 4.
    S. Schmitt-Rink, D.A.B. Miller, D.S. Chemla: Phys. Rev. B 35, 8113 (1987)Google Scholar
  5. 5.
    L.E. Brus: IEEE J. QE-22, 1909 (1986) and this volumeGoogle Scholar
  6. 6.
    J.B. Stark, W.H. Knox, D.S. Chemla, W. Schäfer, S. Schmitt-Rink, C. Stafford: Phys. Rev. Lett. 65, 3033 (1990) and unpublishedGoogle Scholar
  7. 7.
    C. Stafford, S. Schmitt-Rink, W. Schäfer: Phys. Rev. B 41, 10000 (1990)Google Scholar
  8. 8.
    O. Akimoto, H. Hasegawa: J. Phys. Soc. Jpn. 22, 181 (1967)Google Scholar
  9. 9.
    M. Shinada, K. Tanaka: J. Phys. Soc. Jpn. 29, 1258 (1970)Google Scholar
  10. 10.
    R.J. Elliott: Phys. Rev. 108, 1384 (1957)Google Scholar
  11. 11.
    A.H. MacDonald, D.S. Ritchie: Phys. Rev. B 33, 8336 (1986)Google Scholar
  12. 12.
    S. Tarucha, H. Okamoto, Y. Iwasa, N. Miura: Solid State Commun. 52, 815 (1984)Google Scholar
  13. 13.
    S.R.E. Yang, L.J. Sham: Phys. Rev. Lett. 58, 2598 (1987)Google Scholar
  14. 14.
    G.E.W. Bauer, T. Ando: Phys. Rev. B 38, 6015 (1988)Google Scholar
  15. 15.
    H. Chu, Y.C. Chang: Phys. Rev. B 40, 5497 (1989)Google Scholar
  16. 16.
    R.C. Miller, D.A. Kleinman: J. Lumin. 30, 520 (1985)Google Scholar
  17. 17.
    S. Feneuille: Rep. Prog. Phys. 40, 1257 (1977)Google Scholar
  18. 18.
    S. Schmitt-Rink, D.S. Chemla: Phys. Rev. Lett. 57, 2752 (1986)Google Scholar
  19. 19.
    S. Schmitt-Rink, D.S. Chemla, H. Haug: Phys. Rev. B 37, 941 (1988)Google Scholar
  20. 20.
    P.W. Anderson: Phys. Rev. 112, 1900 (1958)Google Scholar
  21. 21.
    I.V. Lerner, Yu.E. Lozovik: Zh. Eksp. Teor. Fiz. 80, 1488 (1981) [Sov. Phys. JETP 53, 763 (1981)]Google Scholar
  22. 22.
    C. Kallin, B.I. Halperin: Phys. Rev. B 30, 5655 (1984)Google Scholar
  23. 23.
    D. Paquet, T.M. Rice, K. Ueda: Phys. Rev. B 32, 5208 (1985)Google Scholar
  24. 24.
    A.B. Dzyubenko, Yu.E. Lozovik: J. Phys. A 24, 415 (1991)Google Scholar
  25. 25.
    L. Banyai: Phys. Rev. B 39, 8022 (1989)Google Scholar
  26. 26.
    R.W. Boyd, S. Mukamel: Phys. Rev. A 29, 1973 (1984)Google Scholar
  27. 27.
    C.H. Brito Cruz, J.P. Gordon, P.C. Becker, R.L. Fork, C.V. Shank: IEEE J. QE-24, 261 (1988)Google Scholar
  28. 28.
    A. Mysyrowicz, D. Hulin, A. Antonetti, A. Migus, W.T. Masselink, H. Morkoc: Phys. Rev. Lett. 56, 2748 (1986)Google Scholar
  29. 29.
    A. Von Lehmen, D.S. Chemla, J.E. Zucker, J.P. Heritage: Opt. Lett. 11, 609 (1986)Google Scholar
  30. 30.
    D.S. Chemla, W.H. Knox, D.A.B. Miller, J.B. Stark, S. Schmitt-Rink, R. Zimmermann: J. Lumin. 44, 233 (1989)Google Scholar
  31. 31.
    R. Zimmermann: Phys. Stat. Sol. B 146, 545 (1988)Google Scholar
  32. 32.
    R. Zimmermann, M. Hartmann: Phys. Stat. Sol. B 150, 365 (1988)Google Scholar
  33. 33.
    R. Zimmermann: Phys. Stat. Sol. B 159, 317 (1990)Google Scholar
  34. 34.
    W. Schäfer: Adv. Solid State Phys. 28, 63 (1988)Google Scholar
  35. 35.
    C. Ell, J.F. Müller, K. El Sayed, H. Haug: Phys. Rev. Lett. 62, 304 (1989)Google Scholar
  36. 36.
    I. Balslev, R. Zimmermann, A. Stahl: Phys. Rev. B 40, 4095 (1989)Google Scholar
  37. 37.
    R. Binder, S.W. Koch, M. Lindberg, N. Peyghambarian, W. Schäfer: Phys. Rev. Let. 65, 899 (1990)Google Scholar
  38. 38.
    J.R. Kuklinski, S. Mukamel: Phys. Rev. B 42, 2959 (1990)Google Scholar
  39. 39.
    S. Schmitt-Rink, D.S. Chemla, D.A.B. Miller: Phys. Rev. B 32, 6601 (1985)Google Scholar
  40. 40.
    G.E.W. Bauer: Phys. Rev. Lett. 64, 60 (1990)Google Scholar
  41. 41.
    N. Peyghambarian, H.M. Gibbs, J.L. Jewell, A. Antonetti, A. Migus, D. Hulin, A. Mysyrowicz: Phys. Rev. Lett. 53, 2433 (1984)Google Scholar
  42. 42.
    W.H. Knox: J. Opt. Soc. Am. B 4, 1771 (1987)Google Scholar
  43. 43.
    E. Hanamura, H. Haug: Phys. Rep. C 33, 209 (1977)Google Scholar
  44. 44.
    B. Hönerlage, R. Levy, J.B. Grun, C. Klingshirn, K. Bohnert: Phys. Rep. 124, 161 (1985)Google Scholar
  45. 45.
    V. May, K. Henneberger, F. Henneberger: Phys. Stat. Sol. B 94, 611 (1979)Google Scholar
  46. 46.
    H. Haug, R. März, S. Schmitt-Rink: Phys. Lett. A 77, 287 (1980)Google Scholar
  47. 47.
    I. Abram: J. Opt. Soc. Am. B 2, 1204 (1985)Google Scholar
  48. 48.
    A.L. Ivanov, V.V. Panashchenko: Pisma Zh. Eksp. Teor. Fiz. 49, 34 (1989) [JETP Lett. 49, 39 (1989)]Google Scholar
  49. 49.
    M.J. Rosker, F.W. Wise, C.L. Tang: Phys. Rev. Lett. 57, 321 (1986)Google Scholar
  50. 50.
    H.L. Fragnito, J.Y. Bigot, P.C. Becker, C.V. Shank: Chem. Phys. Lett. 160, 101 (1989)Google Scholar
  51. 51.
    P.C. Becker, H.L. Fragnito, J.Y. Bigot, C.H. Brito Cruz, R.L. Fork, C.V. Shank: Phys. Rev. Lett. 63, 505 (1989)Google Scholar
  52. 52.
    K. Leo, T.C. Damen, J. Shah, E.O. Göbel, K. Köhler: Appl. Phys. Lett. 57, 19 (1990)Google Scholar
  53. 53.
    B.F. Feuerbacher, J. Kuhl, R. Eccleston, K. Ploog: Solid State Commun. 74, 1279 (1990)Google Scholar
  54. 54.
    K. Leo, J. Shah, E.O. Göbel, T.C. Damen, S. Schmitt-Rink, W. Schäfer, K. Köhler: Phys. Rev. Lett. 66, 201 (1991)Google Scholar
  55. 55.
    B. Fluegel, N. Peyghambarian, G. Olbright, M. Lindberg, S.W. Koch, M. Joffre, D. Hulin, A. Migus, A. Antonetti: Phys. Rev. Lett. 59, 2588 (1987)Google Scholar
  56. 56.
    T. Yajima, Y. Taira: J. Phys. Soc. Jpn. 47, 1620 (1979)Google Scholar
  57. 57.
    K. Leo, M. Wegener, J. Shah, D.S. Chemla, E.O. Göbel, T.C. Damen, S. Schmitt-Rink, W. Schäfer: Phys. Rev. Lett. 65, 1340 (1990)Google Scholar
  58. 58.
    M. Wegener, D.S. Chemla, S. Schmitt-Rink, W. Schäfer: Phys. Rev. A 42, 5675 (1990)Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • S. Schmitt-Rink
    • 1
  • J. B. Stark
    • 2
  • W. H. Knox
    • 2
  • D. S. Chemla
    • 2
  • W. Schäfer
    • 3
  1. 1.AT & T Bell LaboratoriesMurray HillUSA
  2. 2.AT & T Bell LaboratoriesHolmdelUSA
  3. 3.HöchstleistungsrechenzentrumForschungszentrum JülichJülichGermany

Personalised recommendations