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Tests of validity of spatial dispersion theories on lead iodide crystal spectra

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Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 73))

Abstract

We have compared the validity of application of the spatial dispersion theories of Pekar and Agarwal in the case of the reflection spectra of PbI2, in which a big effect was supposed to allow accurate measurements. Our analysis shows in fact that the big effect is essentially due to the so-called “Hopfield potential barrier,” which could produce it even without any spatial dispersion in the crystal. However, spatial dispersion does exist in PbI2 but its quantitative evaluation is less simple than was previously expected.

Therefore comparison between theories and experiments is also not so simple. It is not the height of the peak but its shape which must be analyzed.

It turns out that Pekar's theory gives better results than Agarwal's theory in the case of ordinary spectra while Agarwal's theory gives better results than Pekar's theory in the case of extraordinary spectra. This opens up new questions, which we hope many people will study before our next meeting.

We are indebted to G. S. Agarwal and H. Haken for a number of interesting discussions, and to E. Tosatti for communication of unpublished results.

This work was carried out within the frame of the agreement on French-German scientific cooperation between C.N.R.S., Paris, Université Louis Pasteur, Strasbourg, and Universität Stuttgart.

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References

  1. Pekar,S.I.: Zh. Eksperim. i Teor. Fiz. 33, 1022 (1957); 34, 1176 (1958).

    Google Scholar 

  2. Hopfield,J.J., Thomas,D.G.: Phys. Rev. 132, 561 (1963).

    Article  ADS  Google Scholar 

  3. Agarwal,G.S., Pattanayak,D.N., Wolf,E.: Phys. Rev. Letters 27, 1022 (1971); — Opt. Commun. 4, 255, 260 (1971).

    Article  ADS  Google Scholar 

  4. Maradudin,A.A., Mills,D.L.: Taormina Research Conf. on the Structure of Matter, (1972).

    Google Scholar 

  5. Sein,J.J.: Ph. D. thesis, New York University (1969).

    Google Scholar 

  6. Zeyher,R., Birman,J.L.: Taormina Research Conf. on the Structure of Matter (1972).

    Google Scholar 

  7. Brodin,M.S., Pekar,S.I.: JETP 38, 1910 (1960).

    Google Scholar 

  8. Gorban,I.S., Timofeiev,V.B.: C.R. Akad. Sci. URSS 140, 791 (1961).

    Google Scholar 

  9. Biellmann,J.: Ph. D. thesis, Strasbourg, Université Pasteur (1972) unpublished.

    Google Scholar 

  10. Pasterniak, Vedam.K.: Phys. Rev. B 3, 2567 (1971).

    Article  ADS  Google Scholar 

  11. Yu,P.Y., Cardona,M.: Solid State Commun. 9, 1421 (1971).

    Article  ADS  Google Scholar 

  12. Bonnot, A., Benoît à la Guillaume, C.: Int. Symposium on Excitons at High Density and Polaritons, Tonbach (GER), Oct. 1973.

    Google Scholar 

  13. Levy,R., Bivas,A., Grun,J.B., Nikitine,S.: this volume.

    Google Scholar 

  14. Nikitine,S.: this volume.

    Google Scholar 

  15. Nikitine,S., Biellmann,J.: J. Phys. Suppl. 27, 95 (1966).

    Google Scholar 

  16. Gähwiller,Ch., Harbeke,G.: Phys. Rev. 185, 1141 (1969).

    Article  ADS  Google Scholar 

  17. Harbeke,G., Tosatti,E.: Phys. Rev. Letters 28, 1567 (1972).

    Article  ADS  Google Scholar 

  18. Harbeke,G., BassaniF., Tosatti,E.: XIth Conf. Int. Phys. Semicond. p. 163 (1972)

    Google Scholar 

  19. Agarwal,G.S.: private communication.

    Google Scholar 

  20. Baldini,G., Franchi,S.: Phys. Rev. Letters 26, 503 (1971).

    Article  ADS  Google Scholar 

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H. Haken S. Nikitine

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© 1975 Springer-Verlag

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Grosmann, M., Biellmann, J., Nikitine, S. (1975). Tests of validity of spatial dispersion theories on lead iodide crystal spectra. In: Haken, H., Nikitine, S. (eds) Excitons at High Density. Springer Tracts in Modern Physics, vol 73. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041592

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  • DOI: https://doi.org/10.1007/BFb0041592

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  • Print ISBN: 978-3-540-06943-0

  • Online ISBN: 978-3-540-37866-2

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