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Excitons and Plasmons: Collective Excitations in Semiconductors

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Collective Excitations in Solids

Part of the book series: NATO Advanced Science Institute Series ((NSSB,volume 88))

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Abstract

For a simple model consisting of a nondegenerate valence and conduction band, the spectrum of elementary excitations is calculated taking into account the Coulomb interaction between valence and conduction electrons. It contains, as collective excitations, excitons below and a valence plasmon above the continuum of single electron-hole pair excitations.

The importance of the so-called exchange interaction is pointed out as being responsible for the longitudinal-transverse-splitting of the excitonic solutions and for the existence of the plasmon. Using the equation of motion method not only the energy but also the wavefunction of the plasmonic solution is obtained.

Finally, the dielectric function of the model is derived and the exciton-polariton is discussed.

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References

  1. A. A. Lucas, this book.

    Google Scholar 

  2. R. S. Knox, this book.

    Google Scholar 

  3. R. A. Ferell and J. J. Quinn, Phys. Rev. 108, 570 (1957).

    Article  ADS  Google Scholar 

  4. C. Horie, Prog. Theor. Phys. 21, 113 (1959).

    Article  ADS  MATH  Google Scholar 

  5. I. Egri, Z. Physik B42, 99 (1981).

    ADS  Google Scholar 

  6. R. Loudon, this book.

    Google Scholar 

  7. B. Di Bartolo, this book.

    Google Scholar 

  8. M. H. Cohen and F. Keffer, Phys. Rev. 99, 1128 (1955).

    Article  ADS  MATH  Google Scholar 

  9. H. Haken, Quantenfeldtheorie des Festkörpers (Stuttgart, Teubner, 1972).

    Google Scholar 

  10. See, e.g., J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, 1969).

    Google Scholar 

  11. R. J. Elliott, Phys. Rev. 108, 1384 (1957).

    Article  ADS  Google Scholar 

  12. H. Ehrenreich and M. H. Cohen, Phys. Rev. 115, 786 (1959).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. A. Tselis, this book.

    Google Scholar 

  14. A. Stahl, private communication.

    Google Scholar 

  15. B. Bendow, Springer Tracts in Modern Physics 82, 69 (1978).

    Article  Google Scholar 

  16. I. Egri, J. Phys. C12, 5471 (1971).

    ADS  Google Scholar 

  17. A. Stahl, Phys. Stat. Sol. (b) 94, 221 (1979).

    Article  ADS  Google Scholar 

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© 1983 Plenum Press, New York

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Egri, I. (1983). Excitons and Plasmons: Collective Excitations in Semiconductors. In: Di Bartolo, B. (eds) Collective Excitations in Solids. NATO Advanced Science Institute Series, vol 88. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8878-4_18

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  • DOI: https://doi.org/10.1007/978-1-4684-8878-4_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8880-7

  • Online ISBN: 978-1-4684-8878-4

  • eBook Packages: Springer Book Archive

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