Skip to main content
SpringerLink
Log in

Electron-Phonon Interaction in Two-Dimensional Systems: Polaron Effects and Screening

  • Chapter
The Physics of the Two-Dimensional Electron Gas

Abstract

The polaron concept, as originally proposed by Landau to describe an electron (or hole) dressed with a cloud of virtual LO-phonons, has been useful both to describe the physical properties of charge carriers in ionic crystals and in polar semiconductors and as a field theoretical model.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Sak, Phys. Rev. B6, 3981 (1972).

    ADS  Google Scholar 

  2. T. Ando, B. Fowler and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    ADS  Google Scholar 

  3. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B31, 3420 (1985).

    ADS  Google Scholar 

  4. S. Das Sarma and B.A. Mason, Ann. Phys. (N.Y.) 163, 78 (1985).

    ADS  Google Scholar 

  5. R.P. Feynman, Phys. Rev. 97, 660 (1955).

    ADS  MATH  Google Scholar 

  6. W. Huybrechts, Solid State Commun. 28, 95 (1978).

    ADS  Google Scholar 

  7. M. Matsuura, ibid. 44, 1471 (1982).

    ADS  Google Scholar 

  8. F.M. Peeters and J.T. Devreese, Phys. Stat. Sol. (b) 110, 631 (1982).

    ADS  Google Scholar 

  9. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B32, 7964 (1985).

    ADS  Google Scholar 

  10. L.F. Lemmens, J. De Sitter and J.T. Devreese, Phys. Rev. B8, 2717 (1973).

    ADS  Google Scholar 

  11. F.M. Peeters, P. Warmenbol and J.T. Devreese, to be published (1987).

    Google Scholar 

  12. See e.g. D.M. Larsen, Phys. Rev. 144, 697 (1966).

    ADS  Google Scholar 

  13. G. Whitfield and R. Puff, Phys. Rev. 139, A338 (1965).

    ADS  Google Scholar 

  14. A.A. Klochikhin, Sov. Phys. Solid State 21, 1770 (1979).

    Google Scholar 

  15. J. Ihm, Phys. Rev. Lett. 55, 999 (1985).

    ADS  Google Scholar 

  16. T.W. Hickmott, P.M. Solomon, F.F. Fang, F. Stern, R. Fisher and H. Morkoc, Phys. Rev. Lett. 52, 2053 (1984).

    ADS  Google Scholar 

  17. A. Mooradian and G.B. Wright, Phys. Rev. Lett. 16, 999 (1966).

    ADS  Google Scholar 

  18. W. Richter, in “Polarons and Excitons in Polar Semiconductors and Ionic Crystals”, J.T. Devreese and F.M. Peeters, eds., Plenum Publishing orp., New York (1985), p. 209.

    Google Scholar 

  19. L.F. Lemmens and J.T. Devreese, Solid State Commun. 14, 1339 (1974).

    ADS  Google Scholar 

  20. L.F. Lemmens, F. Brosens and J.T. Devreese, ibid. 17, 337 (1975).

    ADS  Google Scholar 

  21. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Stat. Sol. (b) 133, 229 (1986).

    ADS  Google Scholar 

  22. T.S. Rahman and D.L. Mills, Phys. Rev. B23, 4081 (1981).

    ADS  Google Scholar 

  23. L.F. Lemmens, J.T. Devreese and F. Brosens, Phys. Stat. Sol. (b) 82, 439 (1977).

    ADS  Google Scholar 

  24. S. Das Sarma, Phys. Rev. B27, 2590 (1983); B32, 4034(E) (1985).

    ADS  Google Scholar 

  25. S. Das Sarma and A.B. Mason, Phys. Rev. B31, 5536 (1985); B32, 2656(E) (1985).

    ADS  Google Scholar 

  26. M. Horst, U. Merkt and J.D. Kotthaus, Phys. Rev. Lett. 50, 754 (1983).

    ADS  Google Scholar 

  27. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B34, 2621 (1986).

    ADS  Google Scholar 

  28. F. Stern, Phys. Rev. Lett. 18, 546 (1967).

    ADS  Google Scholar 

  29. J.T. Devreese, in “Polarons in Ionic Crystals and Polar Semiconductors”, North-Holland Publishing Co., Amsterdam (1972), p. 113.

    Google Scholar 

  30. B.B. Varga, Phys. Rev. A137, 1896 (1965).

    ADS  Google Scholar 

  31. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B32, 6982 (1985).

    ADS  Google Scholar 

  32. Wu Xiaoguang, F.M. Peeters and J.T. Devreese, Phys. Rev. B32, (1985).

    Google Scholar 

  33. F.M. Peeters and J.T. Devreese, Phys. Rev. B25, 7281 (1982); B25, 7302 (1982).

    ADS  Google Scholar 

  34. D.M. Larsen, Phys. Rev. B30, 4807 (1984).

    ADS  Google Scholar 

  35. F.M. Peeters and J.T. Devreese, Phys. Rev. B31, 3689 (1985).

    ADS  Google Scholar 

  36. F.M. Peeters and J.T. Devreese, Phys. Rev. B25, 7281 (1982).

    ADS  Google Scholar 

  37. F.M. Peeters, Wu Xiaoguang and J.T. Devreese, Phys. Rev. B33, 4338 (1986).

    ADS  Google Scholar 

  38. See e.g. W. Zawadzki, P. Pfeffer and H. Sigg, Solid State Commun. 53, 777 (1985).

    ADS  Google Scholar 

  39. M. Horst, U. Merkt, W. Zawadzki, J.C. Maan and K. Ploog, Solid State Commun. 53, 403 (1985).

    ADS  Google Scholar 

  40. H. Sigg, P. Wyder and J. Perenboom, Phys. Rev. B31, 5253 (1985).

    ADS  Google Scholar 

  41. Nicholas, private communication.

    Google Scholar 

  42. F.M. Peeters, Wu Xiaoguang and J.T. Devreese, Physica Scripta 34 (1986).

    Google Scholar 

References

  1. Polarons and Excitons ,edited by C. Kuper and G. Whitfield (Oliver and Boyd, Edinburgh, 1963).

    Google Scholar 

  2. Polarons in Ionic Crystals and Polar Semiconductors ,edited by J. T. Devreese (North-Holland, Amsterdam, 1972).

    Google Scholar 

  3. Polarons and Excitons in Polar Semi-conductors and Ionic Crystals ,edited by J. T. Devreese and F. M. Peeters (Plenum, New York, 1984).

    Google Scholar 

  4. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    ADS  Google Scholar 

  5. W. Seidenbusch, G. Lindemann, R. Lassnig, J. Edlinger, and G. Gornik, Surf. Sci. 142, 375 (1984).

    ADS  Google Scholar 

  6. M. Horst, U. Merkt, W. Zawadzki, J. C. Maan, and K. Ploog, Solid State Commun. 53, 403 (1985).

    ADS  Google Scholar 

  7. H. Sigg, P. Wyder, and J. A. A. J. Perenboom, Phys. Rev. B31, 5253 (1985).

    ADS  Google Scholar 

  8. M. Horst, U. Merkt, and J. P. Kotthaus, Phys. Rev. Lett. 50, 754 (1983).

    ADS  Google Scholar 

  9. R. Lassnig and W. Zawadzki, Surf. Sci. 142, 388 (1984).

    ADS  Google Scholar 

  10. S. Das Sarma and A. Madhukar, Phys. Rev. B22, 2823 (1980).

    ADS  Google Scholar 

  11. D. Larsen, Phys. Rev. B30, 4595 (1984).

    ADS  Google Scholar 

  12. F. M. Peeters and J. T. Devreese, Phys. Rev. B31, 3689 (1985).

    ADS  Google Scholar 

  13. F. M. Peeters, Wu Xiaoguang, and J. T. Devreese, Phys. Rev. B33, 4338 (1986).

    ADS  Google Scholar 

  14. S. Das Sarma, Phys. Rev. Lett. 52, 859 (1984).

    MathSciNet  ADS  Google Scholar 

  15. S. Das Sarma, Phys. Rev. Lett. 52, 1570 (E) (1984).

    MathSciNet  ADS  Google Scholar 

  16. D. Larsen, Phys. Rev. B30, 4807 (1984).

    ADS  Google Scholar 

  17. J. Van Royen, J. De Sitter, L. F. Lemmens, and J. T. Devreese, Phys. Physica 81B, 101 (1977).

    Google Scholar 

  18. J. P. Vigneron, R. Evrard, and E. Kartheuser, Phys. Rev. B18, 6930 (1978).

    ADS  Google Scholar 

  19. J. Van Royen, J. De Sitter, and J. T. Devreese, Phys. Rev. B30, 7154 (1984).

    ADS  Google Scholar 

  20. F. M. Peeters and J. T. Devreese, Physica 127B, 408 (1984).

    MathSciNet  Google Scholar 

  21. W. Götze and P. Wölfe, Phys. Rev. B6, 1226 (1972).

    Google Scholar 

  22. F. M. Peeters and J. T. Devreese, Phys. Rev. B28, 6051 (1983).

    ADS  Google Scholar 

  23. R. R. Gerhardts, Z. Phys. B21, 275 (1975); B21, 285 (1975).

    ADS  Google Scholar 

  24. J. T. Devreese, J. De Sitter, and M. Goovaerts, Phys. Rev. B5, 2367 (1972).

    ADS  Google Scholar 

  25. R. P. Feynman, R. W. Hellwarth, C. K. Iddings, and P. M. Platzman, Phys. Rev. 127, 1004 (1962).

    ADS  MATH  Google Scholar 

  26. F. M. Peeters, Wu Xiaoguang, and J. T. Devreese, Phys. Rev. B34, 1160 (1986).

    ADS  Google Scholar 

  27. S. Das Sarma, Phys. Rev. B27, 2590 (1983).

    ADS  Google Scholar 

  28. S. Das Sarma, Phys. Rev. B31, 4034 (E) (1985).

    MathSciNet  ADS  Google Scholar 

  29. Wu Xiaoguang, F. M. Peeters, and J. T. Devreese, Phys. Status Solidi. B133, 229 (1986).

    ADS  Google Scholar 

  30. W. Zawadzki, Solid State Commun. 56, 43 (1985).

    ADS  Google Scholar 

  31. M. Horst, U. Merkt, and K. G. Germanova, J. Phys. C18, 1025 (1985).

    ADS  Google Scholar 

  32. Wu Xiaoguang, F. M. Peeters, and J. T. Devreese, Phys. Rev. B34, 2621 (1986).

    ADS  Google Scholar 

References

  1. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).

    ADS  Google Scholar 

  2. M. Horst, U. Merkt, W. Zawadzki, J. C. Maan, and K. Ploog, Solid State Commun. 53, 403 (1985).

    ADS  Google Scholar 

  3. H. Sigg, P. Wyder, and J. A. A. J. Perenboom, Phys. Rev. B31, 5253 (1985).

    ADS  Google Scholar 

  4. M. Horst, U. Merkt, and J. P. Kotthaus, Phys. Rev. Lett. 50, 754 (1983).

    ADS  Google Scholar 

  5. S. Das Sarma and A. Madhukar, Phys. Rev. B22, 2823 (1980).

    ADS  Google Scholar 

  6. D. Larsen, Phys. Rev. B30, 4595 (1984).

    ADS  Google Scholar 

  7. F. M. Peeters and J. T. Devreese, Phys. Rev. B31, 3689 (1985).

    ADS  Google Scholar 

  8. F. M. Peeters, Xiaoguang Wu, and J. T. Devreese, Phys. Rev. B33, 4338 (1986).

    ADS  Google Scholar 

  9. S. Das Sarma, Phys. Rev. Lett. 52, 859 (1984).

    MathSciNet  ADS  Google Scholar 

  10. S. Das Sarma, Phys. Rev. Lett. 52, 1570 (E) (1984).

    MathSciNet  ADS  Google Scholar 

  11. D. Larsen, Phys. Rev. B30, 4807 (1984).

    ADS  Google Scholar 

  12. R. Lassnig and W. Zawadzki, Surf. Sci. 142, 388 (1984).

    ADS  Google Scholar 

  13. W. Zawadzki, Solid State Commun. 56, 43 (1985).

    ADS  Google Scholar 

  14. R. Lassnig, Surf. Sci. 170, 549 (1986).

    ADS  Google Scholar 

  15. The magnetoplasmon-phonon coupling is also discussed by H. C. A. Oji and A. H. MacDonald, Phys. Rev. B34, 1371 (1986).

    ADS  Google Scholar 

  16. F. M. Peeters, Xiaoguang Wu, and J. T. Devreese, Phys. Rev. B34, 1160 (1986).

    ADS  Google Scholar 

  17. Xiaoguang Wu, F. M. Peeters, and J. T. Devreese, Phys. Rev. B34, 8800 (1986).

    ADS  Google Scholar 

  18. F. M. Peeters, Xiaoguang Wu, and J. T. Devreese, Physica Scripta 34 (1986).

    Google Scholar 

  19. J. T. Devreese, J. De Sitter, and M. Goovaerts, Phys. Rev. B5, 2367 (1972).

    ADS  Google Scholar 

  20. J. Van Royen, J. De Sitter, L. F. Lemmens, and J. T. Devreese, Phys. Physica 81B, 101 (1977);.

    Google Scholar 

  21. J. P. Vigneron, R. Evrard, and E. Kartheuser, Phys. Rev. B18, 6930 (1978).

    ADS  Google Scholar 

  22. J. Van Royen, J. De Sitter, and J. T. Devreese, Phys. Rev. B30, 7154 (1984).

    ADS  Google Scholar 

  23. F. M. Peeters and J. T. Devreese, Physica 127B, 408 (1984); Phys. Rev. B34 (1986).

    MathSciNet  Google Scholar 

  24. W. Götze and P. Wölfe, Phys. Rev. B6, 1226 (1972).

    Google Scholar 

  25. F. M. Peeters and J. T. Devreese, Phys. Rev. B28, 6051 (1983).

    ADS  Google Scholar 

  26. S. Das Sarma, Phys. Rev. B23, 4592 (1981).

    ADS  Google Scholar 

  27. T. Ando and Y. Murayama, J. Phys. Soc. Jpn. 54, 1519 (1985).

    ADS  Google Scholar 

  28. W. Cai and C. S. Ting, Phys. Rev. B33, 3967 (1986).

    ADS  Google Scholar 

  29. D. C. Tsui, Th. Englert, A. Y. Cho, and A. C. Gossard, Phys. Rev. Lett. 44, 341 (1980).

    ADS  Google Scholar 

  30. Xiaoguang Wu, F. M. Peeters, and J. T. Devreese, Phys. Rev. B34, 2621 (1986).

    ADS  Google Scholar 

  31. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971), p.190.

    Google Scholar 

  32. N. J. Horing and M. M. Yildiz, Ann. Phys. (N.Y.) 97, 216 (1976).

    ADS  Google Scholar 

  33. M. L. Glasser, Phys. Rev. B28, 4387 (1983).

    ADS  Google Scholar 

  34. A. H. MacDonald, J. Phys. C18, 1003 (1985).

    ADS  Google Scholar 

  35. S. Das Sarma, Phys. Rev. B27, 2590 (1983).

    ADS  Google Scholar 

  36. S. Das Sarma, Phys. Rev. B31, 4034 (E) (1985).

    MathSciNet  ADS  Google Scholar 

  37. X. L. Lei, J. Phys. C18, L731 (1985).

    ADS  Google Scholar 

  38. Xiaoguang Wu, F. M. Peeters, and J. T. Devreese, Phys. Status Solidi. B133, 229 (1986).

    ADS  Google Scholar 

  39. Z. Schlesinger, S. J. Allen, J. C. Hwang, P. M. Platzman, and N. Tzoar, Phys. Rev. B30, 435 (1984).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, University of Antwerp (UIA & RUCA), Antwerpen, Belgium

    J. T. Devreese & F. M. Peeters

  2. University of Technology, Eindhoven, The Netherlands

    J. T. Devreese & F. M. Peeters

Authors
  1. J. T. Devreese
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. M. Peeters
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Antwerp, Antwerp, Belgium

    J. T. Devreese (Professor of Theoretical Physics) & F. M. Peeters (Professor of Theoretical Physics) & 

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Plenum Press, New York

About this chapter

Cite this chapter

Devreese, J.T., Peeters, F.M. (1987). Electron-Phonon Interaction in Two-Dimensional Systems: Polaron Effects and Screening. In: Devreese, J.T., Peeters, F.M. (eds) The Physics of the Two-Dimensional Electron Gas. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1907-8_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-1907-8_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9061-2

  • Online ISBN: 978-1-4613-1907-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation