, Volume 35, Issue 12, pp 1390–1397 | Cite as

Renormalization of energy spectrum of quantum dots under vibrational resonance conditions

  • A. V. Fedorov
  • A. V. Baranov
  • A. Itoh
  • Y. Masumoto
Low-Dimensional Systems


The problem of modification of the energy spectrum of electronic and phonon excitations in semiconductor quantum dots (QDs) under conditions of vibrational resonance is considered. Analytical expressions for the energy of polaron-like states in QDs in the form of a sphere or rectangular parallelepiped, taking into account the size dependence of the electron-phonon interaction, are derived. Experimental data on renormalization of the lowest exciton states in QDs based on CuCl in a NaCl matrix have been obtained with the use of two-photon secondary emission resonance spectroscopy. Comparison with the calculated results demonstrates quantitative agreement indicating the adequacy of the employed theoretical model. It is established that the vibrational resonance strongly modifies the energy spectrum of small QDs.


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  1. 1.
    I. B. Levinson and É. I. Rashba, Usp. Fiz. Nauk 111, 683 (1973) [Sov. Phys. Usp. 16, 892 (1973)].Google Scholar
  2. 2.
    U. Woggon, Optical Properties of Semiconductor Quantum Dots (Springer-Verlag, Berlin, 1997).Google Scholar
  3. 3.
    T. Itoh, M. Nishijima, A. I. Ekimov, et al., Phys. Rev. Lett. 74, 1645 (1995).ADSGoogle Scholar
  4. 4.
    A. V. Fedorov and A. V. Baranov, Zh. Éksp. Teor. Fiz. 110, 1105 (1996) [JETP 83, 610 (1996)].Google Scholar
  5. 5.
    A. V. Fedorov, A. V. Baranov, and K. Inoue, Phys. Rev. B 54, 8627 (1996).CrossRefADSGoogle Scholar
  6. 6.
    K. Edamatsu, M. Tsukii, K. Hayashibe, et al., Nonlinear Opt. 18(2–4), 295 (1997).Google Scholar
  7. 7.
    L. Zimin, S. V. Nair, and Y. Masumoto, Phys. Rev. Lett. 80, 3105 (1998).CrossRefADSGoogle Scholar
  8. 8.
    M. C. Klein, F. Hache, D. Ricard, and C. Flytzanis, Phys. Rev. B 42, 11123 (1990).Google Scholar
  9. 9.
    Landolt-Börnstein, New Series, Group III, Vol. 17a: Semiconductors, Ed. by O. Madelung, M. Schulz, and H. Weiss (Springer-Verlag, Berlin, 1982).Google Scholar
  10. 10.
    A. V. Fedorov, A. V. Baranov, and K. Inoue, Phys. Rev. B 56, 7491 (1997).CrossRefADSGoogle Scholar
  11. 11.
    T. Itoh, S. Yano, N. Katagiri, et al., J. Lumin. 60–61, 396 (1994).Google Scholar
  12. 12.
    N. Sakakura and Y. Masumoto, Phys. Rev. B 56, 4051 (1997).CrossRefADSGoogle Scholar
  13. 13.
    J. Zhao, M. Ikezawa, A. Fedorov, and Y. Masumoto, J. Lumin. 87–89, 525 (2000).Google Scholar
  14. 14.
    A. V. Baranov, Y. Masumoto, K. Inoue, et al., Phys. Rev. B 55, 15675 (1997).Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2001

Authors and Affiliations

  • A. V. Fedorov
    • 1
  • A. V. Baranov
    • 1
  • A. Itoh
    • 2
  • Y. Masumoto
    • 2
  1. 1.Vavilov State Optical InstituteSt. PetersburgRussia
  2. 2.Institute of PhysicsUniversity of TsukubaTsukubaJapan

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