HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (1959) > No.12
| Next Article >

Prog. Theor. Phys. Supplement No.12 (1959) pp. 111-140

[ Full Text PDF : FREE ACCESS (2062K) ]

On the Dynamical Behavior of an Exciton

Yutaka Toyozawa

Research Institute for Fundamental Physics, Kyoto University, Kyoto

Abstract:

Dynamical behaviors of an exciton interacting with phonon and photon fields are discussed for the typical cases – weak and strong limits of these interactions – with simplifying assumptions on the electronic structures of an exciton. After reviewing the general features of the motion of an exciton in phonon field (§2), we discuss how these features manifest themselves in the line-shape of exciton absorption band (§3). A tentative explanation of the Urbach rule on the tail part of fundamental absorption is presented (§4). As for the exciton-photon interaction, we give a brief survey of Hopfield's work, with particular emphasis on the desirability of general absorption and dispersion formulae for the case where neither exciton-photon interaction nor exciton-phonon (or any other dissipative) interaction is small (§5). Then we apply his result to (direct) radiative annihilation of an exciton, and the second order perturbation theory to indirect radiative annihilation (§6). Dissociation of an exciton in phonon field (§7) as well as non-radiative recombination (into an exciton) and radiative annihilation of a free electron-hole pair (§8) is also discussed. Summarizing these results, a brief consideration is given on the photoconductivity and luminescence of an exciton (§9).


URL : http://ptp.ipap.jp/link?PTPS/12/111/
DOI : 10.1143/PTPS.12.111

[ Full Text PDF : FREE ACCESS (2062K) ] Citation:

References:

  1. F. Seitz, Rev. Mod. Phys. 26 (1954), 7[APS].
  2. H. Haken, Fortschritte der Phys. VI (1958), 271.
  3. A. Sommerfeld und H. Bethe, Handbuch der Physik 24/2 (1933).
  4. J. Bardeen and W. Shockley, Phys. Rev. 80 (1950), 102[APS].
  5. H. Frohlich, Adv. Phys. 3 (1954), 325.
  6. Y. Toyozawa, Prog. Theor. Phys. 20 (1958), 53, [PTP]referred to as I in this article.
  7. E. Haga and I. Yokota, Busseiron Kenkyu 90 (1955), 50.
  8. W. Kohn, Phys. Rev. 110 (1958), 857[APS].
  9. D. L. Dexter, J. Chem. Phys. 21 (1953), 836[CrossRef].
    M. Trlifaj, Czech. J. Phys. 5 (1955), 463.
  10. R. J. Elliot, Phys. Rev. 108 (1957), 1384[APS].
  11. M. Lax, J. Chem. Phys. 20 (1952), 1753[AIP Scitation].
    R. Kubo and Y. Toyozawa, Prog. Theor. Phys. 13 (1955), 160[PTP].
  12. D. L. Dexter, Photoconductivity Conference (Wiley, New York, 1956), 155.
  13. F. Urbach, Phys. Rev. 92 (1953), 1324[APS].
    F. Moser and F. Urbach, Phys. Rev. 105 (1957), 406[APS].
  14. W. Martienssen, J. Phys. Chem. Solids 2 (1957), 256; ibid. 8 (1959), 294[CrossRef].
  15. D. Dutton, Phys. Rev. 112 (1958), 785[APS].
  16. H. Zinngrebe, Zeits. f. Phys. 154 (1959), 495.
  17. D. L. Dexter, Nuovo Cim. Suppl. 7 (1958).
  18. Y. Toyozawa, Prog. Theor. Phys. 22 (1959), 445[PTP].
  19. W. Känzig and T. O. Woodruff, Phys. Rev. 109 (1958), 220[APS].
  20. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
    S. Nakajima, Proc. R. Soc. A 69 (1956), 441.
  21. J. J. Hopfield, Phys. Rev. 112 (1958), 1555[APS].
  22. Y. Toyozawa, Prog. Theor. Phys. 12 (1954), 421[PTP].
  23. H. Haken, J. Phys. Chem. Solids 8 (1959), 166.
    H. Haken and W. Schottky, Zeits. f. Phys. Chem. 16 (1958), 218.
  24. U. Fano, Phys. Rev. 103 (1956), 1202[APS].
  25. V. A. Arkhangel'skaia and P. P. Feofilov, Doklady Akad. Nauk 108 (1956), 803.
  26. G. G. Macfarlane, T. P. McLean, J. E. Quarrington and V. Roberts, Phys. Rev. 108 (1957), 1377[APS]; J. Phys. Chem. Solids 8 (1959), 388.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 56 (1987) pp. 3715-3725 :
    Luminescence Associated with Self-Trapped Excitons in LiI
    Hitoshi Nishimura, Yoshimitsu Saka, Shunji Nagata, Satoshi Hashimoto, Takeyuki Okada and Teruo Komatsu
  2. Journal of the Physical Society of Japan 57 (1988) pp. 1814-1819 :
    Luminescence Spectra of Free Excitons in Pure AgBr down to 500 mK. I. Effects of Annealing
    Etsuo Kawate and Taizo Masumi
  3. Journal of the Physical Society of Japan 63 (1994) pp. 785-794 :
    Polariton Relaxation and Bound Exciton Formation in PbI2 Studied by Excitation Spectra
    Masayuki Watanabe and Tetsusuke Hayashi
  4. Journal of the Physical Society of Japan 72 (2003) pp. 2696-2697 :
    Temperature Dependence of Absorption Spectra in Anatase TiO2 Epilayers
    Takayuki Makino, Yusaburo Segawa, Masashi Kawasaki, Yuji Matsumoto, Hideomi Koinuma, Makoto Murakami and Ryota Takahashi
  5. Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 89-104 :
    Further Contribution to the Theory of the Line-Shape of the Exciton Absorption Band
    Yutaka Toyozawa
  6. Progress of Theoretical Physics Supplement No.53 (1973) pp. 1-76 :
    Coherent Potential Approximation
    Fumiko Yonezawa and Kazuo Morigaki
  7. Progress of Theoretical Physics Supplement No.69 (1980) pp. 420-435 :
    Resonance Raman Scattering and Luminescence from Highly Excited States
    Toshihide Takagahara

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.