Skip to main content
Log in

Long-wavelength nonpolar phonons in semiconductor heterostructures

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

Employing a phenomenological long-wavelength approach recently developed, both acoustic and optical phonons in nonpolar heterostructures are studied. Phonon modes in an arbitrary direction can be calculated without additional effort respect to high symmetry directions. A simple analytical expression for the dispersion relation in superlattices guides the physical discussion. We apply this to the calculation of phonon modes in unstrained short period isotopic Ge superlattices, in quantum wells and in strained short period Si/Ge superlattices. We find very good agreement with the results of other, more elaborated and costly calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Jusserand, M. Cardona, in Light Scattering in Solids V, edited by M. Cardona, G. Güntherodt (Springer-Verlag, Heidelberg, 1989)

  2. R. Tsu, S.S. Jha, Appl. Phys. Lett. 20, 16 (1972); A.S. Barker, Jr. J.L. Merz, A.C. Gossard, Phys. Rev. B 17, 3181 (1978)

    Article  Google Scholar 

  3. For a recent review see S. Baroni, S. de Gironcoli, A. Dal Corso, P. Giannozzi, Rev. Mod. Phys. 73, 515 (2001)

    Article  Google Scholar 

  4. S.M. Rytov, Akust. Zh. 2, 71 (1956) [Sov. Phys. Acoust. 2, 68 (1956)]; C. Colvard, R. Merlin, M.V. Klein, A.C. Gossard, Phys. Rev. Lett. 43, 298 (1980); B. Jusserand, F. Alexandre, J. Dubard, D. Paquet, Phys. Rev. B 33, 2897 (1986); P. Santos, L. Ley, J. Mebert, O. Koblinger, Phys. Rev. B 36, 4858 (1987)

    Google Scholar 

  5. S. Tamura, J.P. Wolfe, Phys. Rev. B 35, 2528 (1987); S. Tamura, D.C. Hurley, J.P. Wolfe, Phys. Rev. B 38, 1427 (1988); and references therein

    Article  Google Scholar 

  6. S. Mizuno, S. Tamura, Phys. Rev. B 45, 734 (1992); S. Mizuno, S. Tamura, Jpn J. Appl. Phys. 32, 2206 (1993)

    Article  Google Scholar 

  7. E.B. Christoffel, Annu. Mater. Pura Appl. 8, 193 (1877); see also A.G. Every, Phys. Rev. Lett. 42, 1065 (1979); A.G. Every, Phys. Rev. B 22, 1746 (1980)

    Google Scholar 

  8. C. Trallero-Giner, F. García-Moliner, V.R. Velasco, M. Cardona, Phys. Rev. B 45, 11944 (1992); for a more detailed presentation see C. Trallero-Giner, R. P\’ erez-Alvarez, F. García-Moliner, Long wave polar modes in semiconductor heterostructures (Pergamon/Elsevier Science, London, 1998)

    Article  Google Scholar 

  9. F. Comas, R. P\’ erez-Alvarez, C. Trallero-Giner, M. Cardona, Superlatt. Microstr. 14, 95 (1993); R. Pérez-Alvarez, V.R. Velasco, F. García-Moliner, Physica Scripta 51, 526 (1995)

    Article  Google Scholar 

  10. F. de León-Pérez, R. P\’ erez-Alvarez, Phys. Rev. B 61, 4820 (2000)

    Article  Google Scholar 

  11. F. de León Pérez, R. P\’ erez-Alvarez, Phys. Rev. B 62, 9915 (2000)

    Article  Google Scholar 

  12. F. de León-Pérez, R. Pérez-Alvarez, Phys. Rev. B 63, 245304 (2001)

    Article  Google Scholar 

  13. See F. García-Moliner, V.R. Velasco, Theory of Single and Multiple Interfaces (World Scientific, Singapore, 1992); V.R. Velasco, F. García-Moliner, Surf. Sci. Rep. 28, 123 (1997) and references therein

    Article  Google Scholar 

  14. J. Spitzer, T. Ruf, M. Cardona, W. Dondl, R. Schorer, G. Abstreiter, E.E. Haller, Phys. Rev. Lett. 72, 1565 (1994); J. Spitzer, Ph.D. thesis, University of Stuttgart, 1994

    Article  Google Scholar 

  15. S. de Gironcoli, E. Molinari, R. Shorer, G. Abstreiter, Phys. Rev. B 48, 8959 (1993); R. Shorer, G. Abstreiter, S. de Gironcoli, E. Molinari, H. Kibbel, H. Presting, Phys. Rev. B 49, 5406 (1994)

    Article  Google Scholar 

  16. C. Trallero-Giner, F. Comas, Philosophical Magazine B 70, 583 (1994)

    Google Scholar 

  17. R. Pérez-Alvarez, F. de León-Pérez, Physica Scripta 58, 525 (1998)

    Google Scholar 

  18. R.A. Ghanbari, J.D. White, G. Fasol, C.J. Gibbings, C.G. Tupper, Phys. Rev. B 42, 7033 (1990); M.I. Alonso, M. Cardona, G. Kanellis, Solid State Commun. 69, 479 (1989)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. de León-Pérez.

Additional information

Received: 21 July 2004, Published online: 5 November 2004

PACS:

63.20.Dj Phonon states and bands, normal modes, and phonon dispersion - 63.22. + m Phonons or vibrational states in low-dimensional structures and nanoscale materials - 68.65.Cd Superlattices

Rights and permissions

Reprints and permissions

About this article

Cite this article

de León-Pérez, F., Pérez-Alvarez, R. Long-wavelength nonpolar phonons in semiconductor heterostructures. Eur. Phys. J. B 41, 451–456 (2004). https://doi.org/10.1140/epjb/e2004-00338-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2004-00338-y

Keywords

Navigation