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Effective-Mass Theory of Electron States in Heterostructures and Quantum Wells

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Properties of Impurity States in Superlattice Semiconductors

Part of the book series: NATO ASI Series ((NSSB,volume 183))

Abstract

For describing near band edge states of intrinsic (subbands) and extrinsic (impurity states) character in semiconductor structures effective-mass theory is as important as in bulk semiconductors. We 1) reconsider the concept of effective-mass theory in this context, 2) demonstrate, how in a self-consistent calculation of subband states in modulation doped heterostructures the implications of the bulk band structure and doping profiles are considered, and 3) suggest a new concept for treating the impurity problem.

Work supported by Deutsche Forschungsgemeinschaft

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References

  1. G. Dresselhaus, A.F. Kip, C. Kittel Phys. Rev. 98 368 (1955)

    Article  ADS  Google Scholar 

  2. J.M. Luttinger Phys. Rev. 102 1030 (1956)

    Article  ADS  MATH  Google Scholar 

  3. E.O. Kane J. Phys. Chem. Solids 1 249 (1957)

    Article  ADS  Google Scholar 

  4. J.M. Luttinger, W. Kohn Phys. Rev. 97 869 (1955)

    Article  ADS  MATH  Google Scholar 

  5. for reviews see S. Pantelides Rev. Mod. Phys. 50 797 (1978)

    Article  ADS  Google Scholar 

  6. A.K. Ramdas, S. Rodriguez Rep. Prog. Phys. 44 1297 (1981)

    Article  ADS  Google Scholar 

  7. K. Suzuki, J.C. Hensel Phys. Rev. B 9 4184 (1974)

    ADS  Google Scholar 

  8. H.R. Trebin, U. Rössler, R. Ranvaud Phys. Rev. 20 686 (1979)

    Article  ADS  Google Scholar 

  9. A. Baldereschi, N.O. Lipari Phys. Rev. B 8 2697 (1973)

    ADS  Google Scholar 

  10. U. Rössler Festkörperprobleme XIX / Adv. in Solid State Physics (ed. J. Treusch, Vieweg, Braunschweig 1979) p. 77

    Google Scholar 

  11. Landolt-Börnstein, New Series, Semiconductors Vol. 22a (ed. O. Madelung, M. Schulz, Springer, Heidelberg 1987)

    Google Scholar 

  12. U. Rössler Solid State Commun. 49 943 (1984)

    Article  ADS  Google Scholar 

  13. W. Pötz, D.K. Ferry Superlattices & Microstructures 3 57 (1987)

    Article  ADS  Google Scholar 

  14. D.A. Broido, L.J. Sham Phys. Rev. B 31 888 (1985)

    ADS  Google Scholar 

  15. U. Ekenberg, M. Altarelli Phys. Rev. B 32 3712 (1985)

    ADS  Google Scholar 

  16. E. Bangert, G. Landwehr Superlattices & Microstructures 1 363 (1985)

    Article  ADS  Google Scholar 

  17. D.A. Broido, L.J. Sham Phys. Rev. B 34 3917 (1986)

    ADS  Google Scholar 

  18. A. Twardowski, C. Hermann Phys. Rev. B 35 8144 (1987)

    ADS  Google Scholar 

  19. F. Malcher, G. Lommer, U. Rössler Superlattices & Microstructures 2 267 (1986)

    Article  ADS  Google Scholar 

  20. R. Lassnig Phys. Rev. B 31 8076 (1985)

    Article  ADS  Google Scholar 

  21. F. Malcher, I. Nachev, A. Ziegler, U. Rössler Z. Phys. B 68 437 (1987)

    Google Scholar 

  22. G. Lommer, F. Malcher, U. Rössler Phys. Rev. B 32 6965 (1985)

    Google Scholar 

  23. G. Lommer, F. Malcher, U. Rössler Super-lattices & Microstructures 2 273 (1986)

    Article  ADS  Google Scholar 

  24. F. Stern, S. Das Sarma Phys. Rev. B 30 840 (1984)

    Article  ADS  Google Scholar 

  25. F. Thiele, U. Merkt, J.P. Kotthaus, G. Lommer, F. Malcher, U. Rössler, G. Weimann Solid State Commun. 62 841 (1987)

    Article  ADS  Google Scholar 

  26. F.J. Okhawa, Y. Uemura J. Phys. Soc. Japan 37 1325 (1974)

    Article  ADS  Google Scholar 

  27. Y. Takada, K. Arai, N. Uchimura, Y. Uemura J. Phys. Soc. Japan 49 1851 (1980)

    Article  ADS  Google Scholar 

  28. G.E. Marquez, L.J. Sham Surf. Sci. 113 131 (1982)

    Article  ADS  Google Scholar 

  29. T. Ando J. Phys. Soc. Japan 54 2676 (1985)

    Article  ADS  Google Scholar 

  30. W. Brenig, H. Kasai Z. Phys. B — Condensed Matter 54 191 (1984)

    Article  ADS  Google Scholar 

  31. G. Bastard Phys. Rev. B 24 4714 (1981)

    ADS  Google Scholar 

  32. C. Mailhiot, Yia-Chung Chang, T.C. McGill Phys. Rev. B 26 4449 (1982)

    ADS  Google Scholar 

  33. R.L. Greene, K.K. Bajaj Solid State Commun. 53 1103 (1985)

    Article  ADS  Google Scholar 

  34. W.T. Masselink, Yia-Chung Chang, H. Morkoc Phys. Rev. B 28 7373 (1983)

    ADS  Google Scholar 

  35. W.T. Masselink, Yia-Chung Chang, H. Morkoc Phys. Rev. B 32 5190 (1985)

    ADS  Google Scholar 

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© 1988 Plenum Press, New York

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Rössler, U., Malcher, F., Ziegler, A. (1988). Effective-Mass Theory of Electron States in Heterostructures and Quantum Wells. In: Fong, C.Y., Batra, I.P., Ciraci, S. (eds) Properties of Impurity States in Superlattice Semiconductors. NATO ASI Series, vol 183. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5553-3_17

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  • DOI: https://doi.org/10.1007/978-1-4684-5553-3_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5555-7

  • Online ISBN: 978-1-4684-5553-3

  • eBook Packages: Springer Book Archive

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