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Adiabatic surface of self-trapping excitons

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The problem of the self-trapping of the Frenkel exciton interacting with phonons is considered in the adiabatic approximation. The self-trapping is assumed to take place at a single site. The exciton scattering by phonons at this site and the nearest neighbouring sites is taken into account. Analytical expressions for the adiabatic surface of self-trapping excitons, in particular, for the barrier height separating almost free and self-trapped states, are found. The condition for the applicability of the model to the describing of the self-trapping barrier is determined. The adiabatic surface is shown to have several minima separated by a barrier, i.e. the coexistence of several types of self-trapped excitons is possible.

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References

  1. Lushchik Ch., Kuusmann I., Plekhanov V.: J. Lum.18/19 (1979) 11.

    Google Scholar 

  2. Fugol' I. Ya.: Adv. Phys.27 (1978) 1.

    Google Scholar 

  3. Hizhnyakov V. V., Sherman A. V.: Trudy Inst. Fiz. Akad. Nauk Est. SSR46 (1976) 120.

    Google Scholar 

  4. Hizhnyakov V. V., Sherman A. V.: Phys. Status Solidi (b)92 (1979) 177.

    Google Scholar 

  5. Rashba E. I.: Izv. Akad. Nauk SSSR, Ser. Fiz.40 (1976) 1793.

    Google Scholar 

  6. Hizhnyakov V. V., Sherman A. V.: Fiz. Tverdogo Tela22 (1980) 3254; Solid State Commun.37 (1981), 165.

    Google Scholar 

  7. Deigen M. F., Pekar S. I.: Zh. Eksp. & Teor. Fiz.21 (1951) 803.

    Google Scholar 

  8. Sumi H., Toyozawa Y.: J. Phys. Soc. Japan31 (1971) 342.

    Google Scholar 

  9. Kuznetsov A. I., Abramov V. N., Roose N. S., Savikhina T. I.: Pis'ma v Zh. Eksp. & Teor. Fiz.28 (1978) 652.

    Google Scholar 

  10. Kink R. A., Lôhmus A. E.: Izv. Akad. Nauk SSSR, Ser. Fiz.42 (1978) 466.

    Google Scholar 

  11. Rashba E. I.: Fiz. Nizkikh Temperatur3 (1977) 524.

    Google Scholar 

  12. Davydov A. S.: Teoriya Molekulyarnykh Eksitonov, Nauka, Moscow, 1968.

    Google Scholar 

  13. Rashba E. I.:in Physics of Impurity Centres in Crystals (Ed. G. S. Zavt), Tallinn, 1972, p. 415.

  14. Korn G. A., Korn T. M.: Mathematical Handbook for Scientists and Engineers, McGraw-Hill Book Company, New York-Toronto-London, 1961.

    Google Scholar 

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Dedicated to Professor Miroslav Trlifaj on the occasion of his sixtieth birthday.

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Hizhnyakov, V.V., Sherman, A.V. Adiabatic surface of self-trapping excitons. Czech J Phys 32, 58–68 (1982). https://doi.org/10.1007/BF01597546

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  • DOI: https://doi.org/10.1007/BF01597546

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