Abstract
In Chaps. 1 and 2, we have mainly considered an exciton or an excitonic molecule (EM) as an elementary electronic excitation in the static and spatially periodic field of a rigid crystal, but the real crystal lattice is deformable and vibrating. The lattice vibrations cause a spatially and temporally fluctuating potential for the exciton. The spatial fluctuation gives rise to scattering and momentary localization of the exciton, as reflected in the broadening and the low-energy tail, respectively, of the excitonic absorption spectra. The temporal fluctuation is responsible for the fine structure (phonon sidebands) in the spectra. The deformability of the lattice causes the reverse action: the exciton induces a lattice distortion around itself, namely, the exciton is always dressed with phonons. This has the effect of stabilizing — in some cases, even immobilizing — the exciton, as reflected in the energy shift of excitonic absorption and luminescence spectra. Not only the translational, but also the relative motion of the electron and the hole in the exciton is subject to the effect of self-induced phonons; in particular, optical phonons give rise to dynamical screening of the electron-hole (e-h) Coulomb attraction, thus reducing the effective binding energy significantly.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Bardeen, W. Shockley: Phys. Rev. 80, 72 (1950)
H. Fröhlich: Adv. Phys. 3, 325 (1954)
A. R. Hutson: Phys. Rev. Lett. 4, 505 (1960); G. D. Mahan, J. J. Hopfield: Phys. Rev. Lett. 12, 241 (1964)
F. Seitz: Phys. Rev. 73, 549 (1948)
F. J. Blatt: “Theory of Mobility of Electrons in Solids”, in Solid State Physics, Vol. 4, ed. by F. Seitz, D. Turnbull ( Academic, New York 1957 ) p. 199
C. G. Kuper, G. D. Whitfield (eds.): Polarons and Excitons, ( Oliver and Boyd, Edinburgh 1963 )
J. T. Devreese (ed.): Polarons in Ionic Crystals and Polar Semiconductors, ( North-Holland, Amsterdam 1972 )
T. D. Lee, F. Low, D. Pines: Phys. Rev. 90, 297 (1953); M. Gurari: Philos. Mag. 44, 329 (1953)
S. I. Pekar: Zh. Eksp. Teor. Fiz. 19, 796 (1949)
R. P. Feynman: Phys. Rev. 97, 660 (1955)
A. I. Ansel’m, Yu. A. Firsov: Zh. Eksp. Teor. Fiz. 30,719 (1956) [English transl.: Soy. Phys.-JETP 1,139 (1955)]
Y. Toyozawa: Prog. Theor. Phys. 20, 53 (1958)
J. Dillinger, Ö. Kónak, V. Prosser, J. Sak, M. Zví ra: Phys. Status Solidi 29, 707 (1968)
W. Y. Liang, A. D. Yoffe: Phys. Rev. Lett. 20, 59 (1968); R. C. Whited, W. C. Walker: Phys. Rev. Lett. 22, 1428 (1969); W. C. Walker, D. M. Roessler, E. Loh: Phys. Rev. Lett. 20, 847 (1968)
S. A. Permogorov: Phys. Status Solidi (b) 68, 9 (1975)
H. Nishimura: J. Phys. Soc. Jpn. 52, 3233 (1983)
M. Matsuura, H. Büttner: J. Phys. Soc. J.n. 49, Suppl. A, 413 (1980)
H. Haken: Fortschr. Phys. (Dtsch. Phys. Ges.) 6, 271 (1958)
Y. Toyozawa: “Exciton-Lattice Interaction — Fluctuation, Relaxation and Defects Formation”, in Vacuum Ultraviolet Radiation Physics, ed. by E. E. Koch, R. Haensel, C. Kunz ( Pergamon-Vieweg, Braunschweig 1974 ) p. 317
Y. Toyozawa: “Localization and Delocalization of an Exciton in the Phonon Field”, in Organic Molecular Aggregates, ed. by P. Reineker, H. Haken, H. C. Wolf, Springer Ser. Solid-State Sci., Vol. 49 ( Springer, Berlin, Heidelberg 1983 ) p. 90
L. Van Hove: Physica 21, 901 (1955)
Y. Toyozawa: Prog. Theor. Phys. 27, 89 (1962)
H. Sumi: J. Phys. Soc. Jpn. 32, 616 (1972)
H. Sumi, Y. Toyozawa: J. Phys. Soc. Jpn. 31, 342 (1971)
M. Schreiber, Y. Toyozawa: J. Phys. Soc. Jpn. 51, 1528, 1537, 1544 (1982); ibid. 52, 318 (1983); ibid. 53, 864 (1984)
T. Tomiki: J. Phys. Soc. J.n. 22, 463 (1967); T. Miyata: J. Phys. Soc. Jpn. 31, 529 (1971); T. Tomiki, T Miyata, H. Tsukamoto: J. Phys. Soc. Jpn. 35, 495 (1973)
D. M. Burland, U. Konzelmann, R. M. Macfarlane: J. Chem. Phys. 67, 1926 (1977); D. M. Burland, D. E. Cooper, M. D. Fayer, C. R. Gochanour: Chem. Phys. Lett. 52, 279 (1977)
Y. Onodera, Y. Toyozawa: J. Phys. Soc. Jpn. 24, 341 (1968)
B. Velicky, S. Kirkpatrick, H. Ehrenreich: Phys. Rev. 175, 747 (1968)
P. Soven: Phys. Rev. 156, 809 (1967); D. W. Tylor: Phys. Rev. 156, 1017 (1967)
F. Yonezawa, K. Morigaki: Prog. Theor. Phys., Suppl. 53, 1 (1973)
E. I. Rashba, G. E. Gurgenishvilli: Soy. Phys.-Solid State 4, 759 (1962)
Y. Nakai, T. Murata, K. Nakamura: Jpn. J. Appl. Phys. 4, Suppl. I, 616 (1965); K. Nakamura, Y. Nakai: J. Phys. Soc. Jpn. 23, 455 (1967); K. Nakamura: J. Phys. Soc. Jpn. 22, 511 (1967)
T. Murata, Y. Nakai: J. Phys. Soc. J.n. 23, 904 (1967); N. Nagasawa, N. Nakagawa, Y. Nakai: J. Phys. Soc. Jpn. 24, 1403 (1968)
G. Baldini: Phys. Rev. A 137, 508 (1965); T. Nanba, N. Miura, N. Nagasawa: J. Phys. Soc. Jpn. 36, 158 (1974); T.Nanba, N. Nagasawa, M. Ueta: J. Phys. Soc. Jpn. 37, 1031 (1974)
F. Urbach: Phys. Rev. 92, 1324 (1953)
M. V. Kurik: Phys. Status Solidi (a) 8, 9 (1971)
D. L. Dexter: Nuovo Cimento, Suppl. 7, 245 (1958)
Y. Toyozawa: Prog. Theor. Phys. 22, 445 (1959)
H. Mahr: Phys. Rev. 125, 1510 (1962)
Y. Toyozawa: Tech. Rep. ISSP, Ser. A, No. 119 (1964)
P. W. Anderson: Phys. Rev. 109, 1492 (1958)
J. D. Dow, D. Redfield: Phys. Rev. B5, 594 (1972)
E. Mohler, B. Thomas: Phys. Rev. Lett. 4, 543 (1980)
J. Ihm, J. C. Phillips: Phys. Rev. B27, 7803 (1983)
D. B. Fitchen: “Zero-Phonon Transitions”, in Physics of Color Centers, ed. by W. B. Fowler ( Academic, New York 1968 ) p. 293
Y. Toyozawa: J. Lumin. 1/2, 732 (1970)
K. K. Rebane, V. G. Fedoseyev, V. V. Hizhnyakov: In Proc. 9th Int. Conf. Phys. Semicond., Moscow (1968), ed. by S. M. Ryvkin ( Nauka, Leningrad 1968 ) p. 430
Y. Toyozawa: “Vibration Induced Structures in the Absorption Spectra of Localized Electrons in Solids”, in Dynamical Processes in Solid State Optics, ed. by R. Kubo, H. Kamimura ( Benjamin, New York 1967 ) p. 90
Y. Toyozawa: J. Phys. Chem. Solids 25, 59 (1964)
U. Fano: Phys. Rev. 124, 1866 (1961); U. Fano, W. Cooper: Phys. Rev. A137, 1364 (1965)
S. Nikitine, J. B. Grun, M. Sieskind: J. Phys. Chem. Solids 17, 292 (1961)
T. Miyata: J. Phys. Soc. Jpn. 31, 529 (1971)
T. P. McLean: “The Absorption Edge Spectrum of Semiconductors”, in Progress of Semiconductors, ed. by A. F. Gibson, F. A. Kröger, R. E. Burgess, Vol. 5 ( Wiley, New York 1961 ) p. 53
F. C. Brown, T. Masumi, H. H. Tippins: J. Phys. Chem. Solids 22, 101 (1961)
M. Matsuura, H. Büttner: Phys. Rev. B21, 679 (1980)
J. Pollmann, H. Büttner: Phys. Rev. B16, 4480 (1977)
G. Baldini, B. Bosacchi: Phys. Rev. Lett. 22, 190 (1969); G. Baldini, A. Bosacchi, B. Bosacchi: Phys. Rev. Lett. 23, 846 (1969)
Y. Kato, T. Goto, T. Fujii, M. Ueta: J. Phys. Soc. Jpn. 36, 175 (1974)
R. Z. Bachrach, F. C. Brown: Phys. Rev. Lett. 21, 685 (1968); Phys. Rev. Bi, 818 (1970)
S. Kurita, K. Kobayashi: J. Phys. Soc. Jpn. 30, 1645 (1971)
Y. Toyozawa, J. Hermanson: Phys. Rev. Lett. 21, 1637 (1968)
Y. Toyozawa: In Proc. 3rd Int. Conf. Photoconductivity, Stanford (1969), ed. by E. M. Pell ( Pergamon, Oxford 1971 ) p. 151
H. Kanzaki, S. Sakuragi: J. Phys. Soc. Jpn. 27, 109 (1969)
E. I. Rashba: Soy. Phys.-JETP 23, 708 (1966)
Y. Toyozawa, Y. Shinozuka: J. Phys. Soc. Jpn. 48, 472 (1980)
Y. Toyozawa: “Self-Trapping of an Electron by the Acoustical Mode of Lattice Vibration”, in Polarons and Excitons, ed. by C. G. Kuper, G. D. Whitfield ( Oliver and Boyd, Edinburgh 1962 ) p. 221
K. S. Song: J. Phys. Soc. Jpn. 26, 1131 (1969)
M. Umehara: J. Phys. Soc. Jpn. 47 852 (1979); Private communication
T. Higashimura, Y. Nakaoka, T. Iida: J. Phys. C17, 4127 (1984)
H. Sumi: J. Phys. Soc. Jpn. 53, 3498, 3511 (1984)
Y. Toyozawa, A. Sumi: In Proc. 12th Intern. Conf. Phys. Semicond. Stuttgart (1974), ed. by M. H. Pilkuhn ( Teubner, Stuttgart 1974 ) p. 179
D. Emin, T. Holstein: Phys. Rev. Lett. 36, 323 (1976)
E. I. Rashba: Opt. Spektrosk. 2, 75, 88 (1957); Izv. Akad. Nauk SSSR, Ser. Fiz. 40, 1793 (1976) [English transi.: Bull. Acad. Sci. USSR, Phys. Ser. 40, 20 (1976)]
E. I. Rashba: “Self-Trapping of Excitons”, in Excitons, ed. by E. I. Rashba, M. D. Sturge ( North-Holland, Amsterdam 1982 ) p. 543
Y. Toyozawa: Prog. Theor. Phys. 26, 29 (1961)
B. Pertzsch, U. Rössler: Solid State Commun. 37, 931 (1981)
K. Cho, Y. Toyozawa: J. Phys. Soc. Jpn. 30, 1555 (1971)
H. Sumi: J. Phys. Soc. Jpn. 36, 770 (1974)
H. Sumi: J. Phys. Soc. Jpn. 38, 825 (1975)
A. Sumi, Y. Toyozawa: J. Phys. Soc. Jpn. 35, 137 (1973)
Y. Shinozuka, Y. Toyozawa: J. Phys. Soc. Jpn. 46, 505 (1979)
Y. Toyozawa: Solid-State Electron. 21, 1313 (1978)
Y. Toyozawa: Physica 116B, 7 (1983)
P. W. Anderson: Phys. Rev. Lett. 34, 953 (1975)
H. Hiramoto, Y. Toyozawa: J. Phys. Soc. Jpn. 54, 245 (1985)
A. Sumi: J. Phys. Soc. Jpn. 43, 1286 (1977)
W. Känzig: Phys. Rev. 99, 1890 (1955); T. O. Woodruff, W. Känzig: J. Phys. Chem. Solids 5, 268 (1958)
M. N. Kabler: “Hole Centers in Halide Lattices”, in Point Defects in Solids, ed. by J. H. Crawford, Jr., L. M. Slifkin, Vol. 1 ( Plenum, New York 1972 ) p. 327
J. Jortner, L. Meyer, S. A. Rice, E. G. Wilson: J. Chem. Phys. 42, 4250 (1965)
I. Ya. Fugol’: Adv. Phys. 27, 1 (1978)
M. Pope, C. E. Swenberg: Electronic Processes in Organic Crystals (Clarendon, Oxford 1982) p. 48; J. B. Birks: “Photophysics of Aromatic Molecules — A Postscript”, in Organic Molecular Photophysics, ed. by J. B. Birks, Vol. 2 ( Wiley, New York 1975 ) p. 409
A. Matsui, M. Iemura, H. Nishimura: J. Lumin. 24/25, 445 (1981); H Nishimura, A. Matsui, M. Iemura: J. Phys. Soc. Jpn. 51, 1341 (1982)
Ch. B. Lushchik: “Free and Self-Trapped Excitons in Alkali Halides: Spectra and Dynamics”, in Excitons, ed. by E. I. Rashba, M. D. Sturge ( North-Holland, Amsterdam 1982 ) p. 505
T. Hayashi, T. Ohata, S. Koshino: J. Phys. Soc. Jpn. 42, 1647 (1977)
H. Nishimura, C. Ohhigashi, Y. Tanaka, M. Tomura: J. Phys. Soc. J.n. 43, 157 (1977); H. Nishimura, H. Miyazaki, Y. Tanaka, K. Uchida, M. Tomura: J. Phys. Soc. Jpn. 47, 1829 (1979)
T. V. Khiem, A. Nouhailhat: J. Phys. Soc. Jpn. 50, 127 (1981)
H. Kanzaki, S. Sakuragi, K. Sakamoto: Solid State Commun. 9, 999 (1971)
R. C. Hanson: J. Phys. Chem. 66, 2376 (1962)
T. Kawai, K. Kobayashi, M. Kurita, Y. Makita: J. Phys. Soc. Jpn. 30, 1101 (1971)
J. Nakahara, K. Kobayashi: J. Phys. Soc. J.n. 40, 180 (1976); K. Takahei, K. Kobayashi: J. Phys. Soc. Jpn. 44, 1850 (1978)
T. Hyodo, J. Kasai, Y. Takakusa: J. Phys. Soc. J.n. 49, 2248 (1980); J. Kasai, T. Hyodo, K. Fujiwara: J. Phys. Soc. Jpn. 52, 3671 (1983)
Y. Suzuki, H. Ohtani, S. Takagi, M. Hirai: J. Phys. Soc. Jpn. 50, 3537 (1981)
T. Suemoto, H. Kanzaki: J. Phys. Soc. Jpn. 50, 3664 (1981)
T. Higashimura, H. Nakatani, M. Itoh, K. Kan’no, Y. Nakai: J. Phys. Soc. Jpn. 53, 1878 (1984). This paper contains references to earlier studies.
M. Höhne, M. Stasiw: Phys. Status Solidi 28, 247 (1968); M. Fukui, Y. Hayashi, H. Yoshioka, H. Kanzaki, S. Sakuragi: J. Phys. Soc. Jpn. 30, 1510 (1971)
W. Hayes, I. B. Owen, P. J. Walker: J. Phys. C10, 1751 (1977)
Y. Kondo, M. Hirai, M. Ueta: J. Phy. Soc. Jpn. 33, 151 (1972)
R. T. Williams, J. N. Bradford, W. L. Faust: Phys. Rev. B18, 7038 (1978)
N. Itoh: Adv. Phys. 31, 491 (1982)
Y. Toyozawa: J. Phys. Soc. Jpn. 44, 482 (1978)
R. B. Murray, F. J. Keller: Phys. Rev. 153, 993 (1967); M. Ikezawa, T. Kojima: J. Phys. Soc. Jpn. 27, 1551 (1969); H. Lamatsch, J. Rossel, E. Saurer: Phys. Status Solidi (b) 48, 311 (1971)
N. Itoh: Private communication
J. M. Langer: J. Phys. Soc. J.n. 49, Suppl. A, 207 (1980)
G. D. Watkins: J. Phys. Soc. J.n. 18, Suppl. I III, 22 (1963)
D. V. Lang: J. Phys. Soc. J.n. 49, Suppl. A, 221 (1980)
C. H. Henry: “Large Lattice Relaxation Processes in Seminconductors”, in Relaxation of Elementary Excitations, ed. by R. Kubo, E. Hanamura, Springer Ser. Solid-State Sci., Vol. 18 ( Springer-Verlag, Berlin, Heidelberg 1980 ) p. 19
D. V. Lang, R. A. Logan, M. Jaros: Phys. Rev. B19, 1015 (1979)
G. D. Watkins, J. R. Troxell: Phys. Rev. Lett. 44, 593 (1980)
R. D. Harris, J. L. Newton, G. D. Watkins: Phys. Rev. Lett. 48, 1271 (1982)
H. Fritzsche: J. Phys. Soc. J.n. 49, Suppl. A, 39 (1980)
S. Lakkis, C. Schlenker, B. K. Chakraverty, R. Buder, M. Marezio: Phys. Rev. B14, 1429 (1976)
O. F. Schirmer, E. Salje: J. Phys. C13, L1067 (1980)
O. F. Schirmer: Z. Phys. B24, 235 (1976)
P. T. Landsberg: Phys. Status Solidi 41, 457 (1970); J. Lumin. 7, 3 (1973)
M. Lax: Phys. Rev. 119, 1502 (1960)
A. M. Stoneham: Rep. Prog. Phys. 44, 1251 (1981)
Y. Toyozawa: Prog. Theor. Phys., Suppl. 12, 11 (1959)
H. Sumi: J. Phys. Soc. Jpn. 41, 526 (1976)
T. Goto, T. Takahashi, M. Ueta: J. Phys. Soc. Jpn. 24, 314 (1968)
P. Wiesner, U. Heim: Phys. Rev. B11, 3071 (1975)
Y. Segawa, Y. Aoyagi, S. Namba: Solid State Commun. 39, 535 (1981)
Y. Masumoto, S. Shionoya: J. Phys. Soc. Jpn. 51, 181 (1982)
Y. Toyozawa: J. Phys. Soc. J.n. 41, 400 (1976); Y. Toyozawa, A. Kotani, A. Sumi: J. Phys. Soc. Jpn. 42, 1495 (1977)
D. L. Huber: Phys. Rev. 170, 418 (1968)
T. Takagahara, E. Hanamura, R. Kubo: J. Phys. Soc. Jpn. 43, 802, 811, 1522 (1977); ibid. 44, 728, 742 (1978)
W. Heitler: The Quantum Theory of Radiation, 3rd ed. ( Clarendon, Oxford 1954 ) p. 196
V. Hizhnyakov, I. Tehver: Phys. Status Solidi 21, 755 (1967); ibid. 39, 67 (1970)
H. Kurita, O. Sakai, A. Kotani: J. Phys. Soc. Jpn. 49, 1920 (1980)
R. G. Ulbrich, C. Weisbuch: Festkörperprobleme XVIII, 217 (1978)
P. Y. Yu: Phys. Rev. Lett. 30, 283 (1973)
T. Karasawa, K. Miyata, T. Komatsu, Y. Kaifu: J. Phys. Soc. Jpn. 52, 2592 (1983)
Y. Shinozuka: J. Phys. Soc. Jpn. 51, 2852 (1982)
M. Stavola, M. Levinson, J. L. Benton, L. C. Kimerling: Phys. Rev. B30, 832 (1984)
H. Sumi: Phys. Rev. Lett. 47, 1333 (1981); Physica 116B, 3944 (1983)
D. L. Dexter, C. C. Klick, G. A. Russel: Phys. Rev. 100, 630 (1955)
V. V. Hizhnyakov, I. Tehver: Soy. Phys.-JETP 42, 305 (1975)
L. C. Kimerling: Solid-State Electron. 21, 1391 (1978)
Y. Toyozawa, M. Inoue: J. Phys. Soc. Jpn. 21, 1663 (1966)
H. Sumi: Phys. Rev. B29, 4616 (1984)
S. Iordanskii, E. Rashba: Soy. Phys.-JETP 47, 975 (1978)
K. Nasu, Y. Toyozawa: J. Phys. Soc. Jpn. 50, 235 (1981)
Y. Masumoto, Y. Unuma, S. Shionoya: J. Phys. Soc. J.n. 51, 3915 (1982); Y. Unuma, Y. Masumoto, S. Shionoya, H. Nishimura: J. Phys. Soc. Jpn. 52, 4277 (1983)
R. Roick, R. Gaethke, G. Zimmerer, P. Gurtler: Solid State Commun. 47, 333 (1983)
A. Sumi: J. Phys. Soc. Jpn. 47, 1538 (1979)
R. Foster: Organic Charge Transfer Complexes ( Academic, New York 1969 )
J. B. Torrance, J. E. Vazquez, J. J. Mayerlo, V. Y. Lee: Phys. Rev. Lett. 46, 253 (1981)
Y. Tokura, T. Koda, M. Mitani, G. Saito: Solid State Commun. 43, 757 (1982)
R. E. Peieris: Quantum Theory of Solids ( Clarendon, Oxford 1955 ) p. 108
Y. Toyozawa: J. Phys. Soc. Jpn. 50, 1861 (1981)
J. Takimoto, Y. Toyozawa: J. Phys. Soc. Jpn. 52, 4331 (1983)
See, for example, L. Salem: The Molecular Orbital Theory of Conjugated Systems ( Benjamin, New York 1966 ) p. 110
M. Schreiber, Y. Toyozawa: Unpublished
I. Egri: Solid State Commun. 22, 281 (1971)
K. Nasu, Y. Toyozawa: J. Phys. Soc. Jpn. 51, 2098, 3111 (1982)
B. K. Chakraverty: Nature (London) 287, 393 (1980)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ueta, M., Kanzaki, H., Kobayashi, K., Toyozawa, Y., Hanamura, E. (1986). Theory of Excitons in Phonon Fields. In: Excitonic Processes in Solids. Springer Series in Solid-State Sciences, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82602-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-82602-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82604-7
Online ISBN: 978-3-642-82602-3
eBook Packages: Springer Book Archive