Advertisement

Vibrational Spectra of Crystals and Superlattices Electron-Phonon Interaction

  • Eougenious L. Ivchenko
  • Grigory Pikus
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 110)

Abstract

The present monograph primarily deals with electronic properties. Information on the vibrational spectra and electron-phonon interaction will mainly be needed in Chap. 8 which is devoted to light scattering. Nevertheless, application of group theory to the classification of vibrational spectra of bulk crystals and superlattices illustrates the power of these methods. Their use permits one, without recourse to concrete calculations, to establish the general pattern of phonon spectra, to find the irreducible representations according to which normal vibrations transform near singular points, to determine how long-range dipole-dipole interaction affects the spectrum, and how the spectrum changes when superlattices form. All these aspects are considered in the first part of the present chapter.

Keywords

Irreducible Representation Vibrational Spectrum Normal Vibration Primitive Cell Acoustic Vibration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 4.1
    Yu.E. Kitaev, R.A. Evarestov: Fiz. Tverd. Tela30, 2970 (1988) [Sov. Phys. - Solid State 30, 1712 (1988)]Google Scholar
  2. 4.2
    M.I. Alonso, M. Cardona, G. Kanellis: Solid State Commun. 69, 479 (1989)CrossRefGoogle Scholar
  3. 4.3
    P. Molinas i Mata, M.I. Alonso, M. Cardona: Solid State Commun. 74, 374 (1990)Google Scholar
  4. 4.4
    B.H. Bairamov, R.A. Evarestov, I.P. Ipatova, Yu.E. Kitaev, A.Yu. Maslov, M. Delaney, T.A. Gant, M.V. Klein, D. Levi, J. Klem, H. Morkoc: Superlatt. Mi- crostruct. 6, 227 (1989)CrossRefGoogle Scholar
  5. 4.5
    B. Jusserand, M. Cardona: In Light Scattering in Solids V, ed. by M. Cardona, G. Guntherodt, Topics Appl. Phys., Vol.66 (Springer, Berlin, Heidelberg 1989) p.49Google Scholar
  6. 4.6
    J. Menendez: J. Lumin. 44, 285 (1989)CrossRefGoogle Scholar
  7. 4.7
    M. Cardona: Superlatt. Microstruct. 4, 27 (1989)CrossRefGoogle Scholar
  8. 4.8
    E. Molinari, S. Baroni, P. Giannozzi, D. Gironcoli: Proc. 20th Int’l Conf. Phys. Semicond. (Thesaloniki, Greece 1990), ed. by E.M. Anastassakis, J.D. Joannopoulos (World Scientific, Singapore 1990) p. 1429Google Scholar
  9. 4.9
    M. Rytov: Acust. Zh. 2, 71 (1956) [Sov. Phys. - Acoust. 2, 63 (1956)]Google Scholar
  10. 4.10
    C. Colvard, T.A. Gant, M.V. Klein, R. Merlin, R. Fischer, H. Morkoc, A.C. Gossard: Phys. Rev. B 31, 2080 (1985)CrossRefGoogle Scholar
  11. 4.11
    E.P. Pokatilov, S.I. Beril: Phys. Stat. Sol. (b)118, 567 (1983)CrossRefGoogle Scholar
  12. 4.12
    R.E. Gamley, D.L. Mills: Phys. Rev. B29, 1695 (1984)Google Scholar
  13. 4.13
    K. Huang, B. Zhu: Phys. Rev. B38, 13377 (1988)CrossRefGoogle Scholar
  14. 4.14
    H. Chu, S.F. Ren, Y.-C. Chang: Phys. Rev. B37, 10476 (1988)Google Scholar
  15. 4.15
    H. Sato, Y. Cory: Phys. Rev. B39, 10192 (1989)CrossRefGoogle Scholar
  16. 4.16
    V.L. Gurevich, K.E. Shtengel: J. Phys. Cond. Matter. 2, 6323 (1990)CrossRefGoogle Scholar

Vibrational Spectra of Superalattices

  1. Babikez M.P., M. Cardona, B.K. Ridley: Optical modes in GaAs/AlAs superlattices. Phys. Rev. B 48, 14356 (1993)CrossRefGoogle Scholar
  2. Chamberlain M.P., M. Cardona, B.K. Ridley: Optical modes in GaAs/AlAs superlat-tices. Phys. Rev. B 48, 14356 (1993)CrossRefGoogle Scholar
  3. Chamberlin M.P., C. Trallerro-Giner, M. Cardona: Anisotropy effects on optical phonon modes in GaAs/AlAs quantum wells. Phys. Rev. B 50, 1611 (1994)CrossRefGoogle Scholar
  4. El Boudonti E.H., B. Djafari-Rouhani: Acoustic waves in finite superlattices. Phys. Rev. B 49, 4586 (1994)CrossRefGoogle Scholar
  5. Enderlein R.: Macroscopic dynamic theory of polar interface modes of superlattices. Phys. Stat. Sol. (b) 150, 85 (1988)CrossRefGoogle Scholar
  6. Hai G.Q., F.M. Peeters, Y.T. Devreese: Electron optical-phonon coupling in GaAs/ Alx Ga1-x As quantum wells due to interface, slab and half space modes. Phys. Rev. B 48, 4666 (1993)Google Scholar
  7. Jusserand B., D. Paquet, A. Regreny: “Folded” optical phonons in GaAs/ Ga1-x Alx As superlattices. Phys. Rev. B 30,6245 (1984)Google Scholar
  8. Klein M.V.: Phonons in semiconductor superlattices: IEEE J. QE-22, 1760 (1986)CrossRefGoogle Scholar
  9. Knipp P.A., T.L. Reinecke: Effect of boundary conditions on confined optical phonons in semiconductor nanostructures.Phys. Rev. B 48, 18037 (1993)Google Scholar
  10. Ridley B.K.: Electron-hybridon interaction in a quantum well. Phys. Rev. B 47, 4592 (1993)CrossRefGoogle Scholar
  11. Sela I., V.V. Gridin, R. Beserman, H. Morko: Resonant Raman study of the LO- phonon energy fluctuations in III-V alloy semiconductors. Phys. Rev. B 37, 6393 (1988)CrossRefGoogle Scholar
  12. Shi J., S. Pan: Surface and interface optical-phonon modes in a finite double heterostructure of polar crystals. Phys. Rev. B 46, 4265 (1992)CrossRefGoogle Scholar
  13. Zhu B.: Optical phonon modes in superlattices. Phys. Rev. B 38, 7694 (1988)CrossRefGoogle Scholar
  14. Zucker J.E., A. Pinczuk, D.S. Chemla, A.C. Gossard, W. Wiegmann: Optical vibrational modes and electron-phonon interaction in GaAs quantum wells. Phys. Rev. Lett. 53, 1280 (1984)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Eougenious L. Ivchenko
    • 1
  • Grigory Pikus
    • 1
  1. 1.A.F. Ioffe Physico- Technical InstituteSt. PetersburgRussia

Personalised recommendations