Excitons in Semiconductors

  • P. J. Dean
Part of the NATO Advanced Science Institute Series book series (NSSB, volume 88)

Abstract

These lectures are intended to provide a coherent account of the fundamental properties of both free and bound excitons in semiconducting crystals. The emphasis is upon a description of those properties most relevant to the exploitation of exciton-related properties in the derivation of parameters of the semiconductor, both intrinsic and the extrinsic properties related to impurity and defect states, rather than the more formal treatment which is already provided in other chapters of this book. The discussions naturally centre on the optical properties, from which most aspects of the behaviour of excitons in semiconductors have been discovered and interpreted. Section I concerns the properties of free excitons, Section II contains the main characteristics of weakly bound excitons other than those related to satellite optical transitions, caused by phonon coupling and excited electronic states of the centre binding the exciton which are the subject of Section III. Special effects related to high excitation intensity are briefly reviewed in Section IV, other than electron-hole drops. The latter do not involve exciton states are are treated separately in this book.

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References

  1. 1.
    E. O. Kane, J. Phys. Chem. Solids 1, 249 (1957).ADSCrossRefGoogle Scholar
  2. 2.
    N. F. Mott and A. M. Stoneham, J. Phys. C10, 3391 (1977).ADSGoogle Scholar
  3. 3.
    M. G. Clark. J. Phys. C13, 2311 (1980).ADSGoogle Scholar
  4. 4.
    See the spirited discussion in Session G of the 1958 International Conference on the Physics of Semiconductors, J. Phys. Chem. Solids 8, 193 (1959). This topic is also addressed by E. F. Gross Usp. Fiz. Nauk. 76, 433 (1962). [Engl. Transi. Sov. Phys. Uspekhi 5, 195 (1962)].Google Scholar
  5. 5.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 124, 657 (1961).ADSCrossRefGoogle Scholar
  6. 6.
    E. F. Gross, S. Permogorov and B. Razbirin, J. Phys. Chem. Solids 27, 1647 (1966).ADSCrossRefGoogle Scholar
  7. 7.
    R. F. Leheny, R. E. Nahory and K. L. Shaklee, Phys. Rev. Lett. 28, 437 (1972).ADSCrossRefGoogle Scholar
  8. 8.
    R. J. Elliott, Phys. Rev. 108, 1384 (1957).ADSCrossRefGoogle Scholar
  9. 9.
    E. F. Gross and N. A. Karryev, Dokl. Akad. Nauk. SSSR 84, 261 and 471 (1952).Google Scholar
  10. 10.
    R. A. Faulkner, Phys. Rev. 175, 991 (1968).ADSCrossRefGoogle Scholar
  11. 11.
    J. J. Hopfield and D. G. Thomas, Phys. Rev. 122, 35 (1961).ADSCrossRefGoogle Scholar
  12. 12.
    M. Nagasawa and S. Shionoya, Phys. Lett. 22, 409 (1966).ADSCrossRefGoogle Scholar
  13. 13.
    E. F. Gross and A. A. Kaplyanski, Dokl. Akad. Nauk. SSSR 132, 98 (1960).Google Scholar
  14. 14.
    K. J. Teegarden and G. Baldini, Phys. Rev. 155, 896 (1967).ADSCrossRefGoogle Scholar
  15. 15.
    G. Baldini and B. Bosacchi, Phys. Rev. 166, 863 (1968).ADSCrossRefGoogle Scholar
  16. 16.
    J. T. Devreese (ed), Polarons in Ionic Crystals and Polar Semiconductors (North Holland, Amsterdam, 1972).Google Scholar
  17. 17.
    A. Baldereschi and N. O. Lipari, Phys. Rev. B3, 439 (1971);ADSGoogle Scholar
  18. 17a.
    A. Baldereschi and N. O. Lipari, Phys. Rev. B8, 2697 (1973).ADSGoogle Scholar
  19. 18.
    D. D. Sell, Phys. Rev. B6, 3750 (1972).ADSGoogle Scholar
  20. 19.
    G. F. Glinskii, A. A. Kopylov and A. N. Pikhtin, Solid State Commun. 30, 631 (1979).ADSCrossRefGoogle Scholar
  21. 20.
    W. Kohn, Solid State Physics, ed. by F. Seitz and D. Turnbull 5 (Academic Press, New York, 1955).Google Scholar
  22. 21.
    R. A. Faulkner, Phys. Rev. 184, 713 (1969).ADSCrossRefGoogle Scholar
  23. 22.
    D. D. Sell, S. E. Stokowski, R. Dingle and J. V. DiLorenzo, Phys. Rev. B7, 4568 (1973).ADSGoogle Scholar
  24. 23.
    J. R. Haynes, M. Lax and W. F. Flood, Proc. Int. Conf. Phys. Semicond., Prague, 1960 (Academic Press, New York, 1961), p. 423.Google Scholar
  25. 23a.
    The ~ 8 meV energy was believed by Haynes et al to represent EX, but is now known to be considerably smaller, K. L. Shaklee and R. E. Nahory, Phys. Rev. Lett. 24, 942 (1970).ADSCrossRefGoogle Scholar
  26. 24.
    P. J. Dean and D. G. Thomas, Phys. Rev. 150, 690 (1966).ADSCrossRefGoogle Scholar
  27. 25.
    A. A. Kopylov and A. N. Pikhtin, Solid State Commun. 26, 735 (1978);ADSCrossRefGoogle Scholar
  28. 25a.
    also, M. D. Sturge, A. T. Vink and F. P. J. Kuijpers, Appl. Phys. Lett. 32, 49 (1978).ADSCrossRefGoogle Scholar
  29. 26.
    P. J. Dean, to be published.Google Scholar
  30. 27.
    R. G. Humphreys, U. Rossler and M. Cardona, Phys. Rev. B18, 5590 (1978).ADSGoogle Scholar
  31. 28.
    R. A. Foreman, W. S. Brower Jr. and H. S. Parker, Phys. Lett. 36A, 395 (1971).ADSGoogle Scholar
  32. 29.
    K. Shindo, T. Goto and T. Anzai, J. Phys. Soc. Japan 36, 753 (1974).ADSCrossRefGoogle Scholar
  33. 30.
    R. J. Elliott, Phys. Rev. 124, 340 (1961).ADSCrossRefGoogle Scholar
  34. 31.
    J. L. Deiss, A. Daunois and S. Nikitine, Solid State Commun. 8, 521 (1970).ADSCrossRefGoogle Scholar
  35. 32.
    Y. Petroff, P. Y. Yu and Y. R. Shen, Phys. Rev. B12, 2488 (1975).ADSGoogle Scholar
  36. 33.
    J. J. Hopfield, J. Phys. Chem. Solids 22, 63 (1961).ADSCrossRefGoogle Scholar
  37. 34.
    A. G. Zhilich, J. Halpern and B. P. Zakharchenya, Phys. Rev. 188, 1294 (1969).ADSCrossRefGoogle Scholar
  38. 35.
    P. J. Dean, G. Kaminsky and R. B. Zetterstrom, J. Appl. Phys. 38, 3551 (1967).ADSCrossRefGoogle Scholar
  39. 36.
    D. D. Sell and P. Lawaetz, Phys. Rev. Lett. 26, 311 (1971).ADSCrossRefGoogle Scholar
  40. 37.
    M. Grossman, Polarons and Excitons, ed. by C. G. Kuper and G. D. Whitfield (Oliver and Boyd, Edinburgh, 1963), p. 373.Google Scholar
  41. 38.
    For example, H. Venghaus, Phys. Rev. B19, 3071 (1979).ADSGoogle Scholar
  42. 39.
    R. Knox, Theory of Excitons, Solid State Physics, ed. by F. Seitz and D. Burnbull, Suppl. 5 (Academic Press, New York, 1963).Google Scholar
  43. 40.
    M. Lampert, Phys. Rev. Lett. 1, 450 (1958).ADSCrossRefGoogle Scholar
  44. 41.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 150, 680 (1966).ADSCrossRefGoogle Scholar
  45. 42.
    R. A. Faulkner, Phys. Rev. 175, 991 (1968).ADSCrossRefGoogle Scholar
  46. 43.
    J. J. Hopfield, D. G. Thomas and R. T. Lynch, Phys. Rev. Lett. 17, 312 (1966).ADSCrossRefGoogle Scholar
  47. 44.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 128, 2135 (1962).ADSCrossRefGoogle Scholar
  48. 45.
    C. H. Henry, K. Nassau and J. W. Shiever, Phys. Rev. B4, 2453 (1971).ADSGoogle Scholar
  49. 46.
    J. L. Merz, H. Kukimoto, K. Nassau and J. W. Shiever, Phys. Rev. B6, 545 (1972).ADSGoogle Scholar
  50. 47.
    K. Nassau, C. H. Henry and J. W. Shiever, Proc. Int. Conf. Phys. Semicond., Cambridge, 1970, ed. by S. P. Keller, J. C. Hensel and F. Stem (National Bureau of Standards, Va., 1970), p. 629.Google Scholar
  51. 48.
    H. Venghaus and P. J. Dean, Phys. Rev. B21, 1596 (1980).ADSGoogle Scholar
  52. 49.
    P. J. Dean, Luminescence of Crystals, Molecules and Solutions, ed. by F. E. Williams (Plenum Press, New York, 1973), p. 538.CrossRefGoogle Scholar
  53. 50.
    P. J. Dean and D. C. Herbert, Bound Excitons, in Excitons, ed. by K. Cho, Topics in Current Physics 14 (Springer, Berlin, 1979), p. 55.Google Scholar
  54. 51.
    D. C. Herbert and J. Inkson, J. Phys. C10, 695 (1977).ADSGoogle Scholar
  55. 52.
    M. Rotenberg, J. Stein, Phys. Rev. 182, 1 (1969).ADSCrossRefGoogle Scholar
  56. 53.
    A. Baldereschi and N. O. Lipari, Proc. Int. Conf. Phys. Semicond., Rome, 1976 (Topografia Marves, Rome, 1976), p. 595.Google Scholar
  57. 54.
    J. R. Haynes, Phys. Rev. Lett. 4, 361 (1960).ADSCrossRefGoogle Scholar
  58. 55.
    P. J. Dean, R. A. Faulkner, S. Kimura and M. Ilegems, Phys. Rev. B4, 1926 (1971).ADSGoogle Scholar
  59. 56.
    D. J. Ashen, P. J. Dean, D. T. J. Hurle, J. B. Mullin, A. M. White and P. D. Greene, J. Phys. Chem. Sol. 36, 1041 (1975).ADSCrossRefGoogle Scholar
  60. 57.
    A. M. White, P. J. Dean, K. M. Fairhurst, W. Bardsley, E. W. Williams and B. Day, Solid State Commun. 11, 1099 (1972).ADSCrossRefGoogle Scholar
  61. 58.
    A. M. White, I. Hinchcliffe, P. J. Dean and P. D. Greene, Solid State Commun. 10, 497 (1972).ADSCrossRefGoogle Scholar
  62. 59.
    N. Magnea, J. L. Pautrat, K. Saminadayar, B. Pajot, P. Martin and A. Bontemps, Rev. Phys. Appl. 15, 701 (1980).CrossRefGoogle Scholar
  63. 60.
    D. C. Herbert, J. Phys. C10, 3327 (1977).ADSGoogle Scholar
  64. 61.
    R. E. Halsted, Physics and Chemistry of II-VI Compounds, ed. by M. Aven and J. S. Prener (North Holland, Amsterdam, 1967), Ch. 8.Google Scholar
  65. 62.
    R. N. Bhargava, R. J. Seymour, B. J. Fitzpatrick and S. P. Herko, Phys. Rev. B20, 2407 (1979).ADSGoogle Scholar
  66. 63.
    W. Schmid and P. J. Dean, unpublished data.Google Scholar
  67. 64.
    P. J. Dean, D. C. Herbert, C. J. Werkhoven, B. J. Fitzpatrick, and R. N. Bhargava, Phys. Rev. B23, 4888 (1981).ADSGoogle Scholar
  68. 65.
    R. Romestain and N. Magnea, Solid State Commun. 32, 1201 (1979).ADSCrossRefGoogle Scholar
  69. 66.
    A. M. White, P. J. Dean and B. Day, J. Phys. C7, 1400 (1974).ADSGoogle Scholar
  70. 67.
    E. C. Lightowlers and M. O. Henry, J. Phys. C10, L247 (1977).ADSGoogle Scholar
  71. 68.
    K. R. Elliott, G. C. Osbourn, D. L. Smith and T. C. McGill, Phys. Rev. B17, 1808 (1978).ADSGoogle Scholar
  72. 69.
    M. L. W. Thewalt, Phys. Rev. Lett. 38, 521 (1977).ADSCrossRefGoogle Scholar
  73. 70.
    D. G. Thomas, M. Gershenzon and J. J. Hopfield, Phys. Rev. 131, 2397 (1963).ADSCrossRefGoogle Scholar
  74. 71.
    T. N. Morgan, Phys. Rev. Lett. 21, 819 (1968).ADSCrossRefGoogle Scholar
  75. 72.
    P. J. Dean, R. A. Faulkner and S. Kimura, Phys. Rev. B2, 4062 (1970).ADSGoogle Scholar
  76. 73.
    P. J. Dean, W. Schairer, M. Lorenz and T. N. Morgan, J. Lumin. 9, 343 (1974).CrossRefGoogle Scholar
  77. 74.
    K. R. Elliott and T. C. McGill, Phys. Rev. B21, 2426 (1980).ADSGoogle Scholar
  78. 75.
    H. Mathieu, J. Camassel and P. Merle, Phys. Rev. B21, 2466 (1980).ADSGoogle Scholar
  79. 76.
    P. J. Dean, Phys. Rev. 157, 655 (1967).ADSCrossRefGoogle Scholar
  80. 77.
    P. J. Dean, J. Lumin. 12, 398 (1970).Google Scholar
  81. 78.
    P. Merle, B. Archilla, J. Camassel and H. Mathieu, Solid State Commun. 31, 205 (1979).ADSCrossRefGoogle Scholar
  82. 79.
    L. M. Roth, B. Lax and S. Zwerdling, Phys. Rev. 114, 90 (1959).ADSCrossRefGoogle Scholar
  83. 80.
    P. J. Dean and R. A. Faulkner, Phys. Rev. 185, 1064 (1969).ADSCrossRefGoogle Scholar
  84. 81.
    A. A. Bergh and P. J. Dean, Light Emitting Diodes (Clarendon Press, Oxford, 1976).Google Scholar
  85. 82.
    M. Gershenzon, F. A. Trumbore, R. M. Mikulyak and M. Kowalchik, J. Appl. Phys. 37, 483 (1966).ADSCrossRefGoogle Scholar
  86. 83.
    C. H. Henry, P. J. Dean and J. D. Cuthbert, Phys. Rev. 166, 754 (1968).ADSCrossRefGoogle Scholar
  87. 84.
    P. J. Dean, C. H. Henry and C. J. Frosch, Phys. Rev. 168, 812 (1968).ADSCrossRefGoogle Scholar
  88. 85.
    P. J. Dean and C. H. Henry, Phys. Rev. 176, 928 (1968).ADSCrossRefGoogle Scholar
  89. 86.
    Jane van W. Morgan and T. N. Morgan, Phys. Rev. B1, 739 (1970).ADSGoogle Scholar
  90. 87.
    B. C. Cavanett, Proc. Int. Conf. Phys. Semicond., Kyoto, 1980,Google Scholar
  91. 87a.
    B. C. Cavanett, J. Phys. Soc. Japan 49, Suppl. A, 611 (1980).Google Scholar
  92. 88.
    M. Schmidt, T. N. Morgan and W. Schairer, Phys. Rev. B11, 5002 (1975).ADSGoogle Scholar
  93. 89.
    J. L. Deiss, A. Daunois and S. Nikitine, Solid State Commun. 8, 521 (1970);ADSCrossRefGoogle Scholar
  94. 89a.
    B. S. Razbirin, I. N. Ural’tsev and A. A. Bogdanov, Fiz. Tverd. Tela. 15, 878 (1973). [Engl. Transi. Sov. Phys. Solid State 15, 604 (1973)].Google Scholar
  95. 90.
    D. F. Nelson, J. D. Cuthbert, P. J. Dean and D. G. Thomas, Phys. Rev. Lett. 17, 1262 (1966).ADSCrossRefGoogle Scholar
  96. 91.
    M. Lax, Phys. Rev. 119, 1502 (1960).ADSCrossRefGoogle Scholar
  97. 92.
    A. Nakamura and K. Morigaki, J. Phys. Soc. Japan 34, 672 (1973).ADSCrossRefGoogle Scholar
  98. 93.
    G. A. Osbourn and D. L. Smith, Phys. Rev. B16, 5426 (1977).ADSGoogle Scholar
  99. 94.
    G. Benz and R. Conradt, Proc. Int. Conf. Phys. Semicond., Stuttgart, 1976, ed. by M. H. Bilkuhn (Teubner, Stuttgart, 1976), p. 1262.Google Scholar
  100. 95.
    E. I. Rashba and G. E. Gurgenishvili, Fiz. Tverd. Tela 4, 1029 (1962). [Engl. Transi. Sov. Phys. Solid State 4, 759 (1962)].Google Scholar
  101. 96.
    C. H. Henry and K. Nassau, Phys. Rev. B1, 1628 (1970).ADSGoogle Scholar
  102. 97.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 116, 573 (1959).ADSCrossRefGoogle Scholar
  103. 98.
    J. D. Cuthbert and D. G. Thomas, Phys. Rev. 154, 33 (1967).CrossRefGoogle Scholar
  104. 99.
    P. J. Dean, J. D. Cuthbert and R. T. Lynch, Phys. Rev. 179, 754 (1969).ADSCrossRefGoogle Scholar
  105. 100.
    K. K. Rebane, Impurity Spectra of Solids (Plenum, New York, 1970).Google Scholar
  106. 101.
    T. N. Morgan, B. Welbert and R. N. Bhargava, Phys. Rev. 166, 751 (1968).ADSCrossRefGoogle Scholar
  107. 102.
    V. Heine and C. H. Henry, Phys. Rev. B11, 3795 (1975).ADSGoogle Scholar
  108. 103.
    C. H. Henry, P. J. Dean, D. G. Thomas and J. J. Hopfield, Localised Excitations in Solids, ed. by R. F. Wallis (Plenum, New York, 1968), p. 267.Google Scholar
  109. 104.
    A. M. Stoneham, Phil. Mag. 36, 983 (1977).ADSCrossRefGoogle Scholar
  110. 105.
    D. G. Thomas, Proc. Int. Conf. Phys. Semicond., Kyoto, 1966 (The Phys. Soc. Japan, 1966), p. 265.Google Scholar
  111. 106.
    P. J. Dean, Phys. Rev. B4, 2596 (1971).ADSGoogle Scholar
  112. 107.
    P. J. Dean, unpublished data.Google Scholar
  113. 108.
    J. L. Merz, K. Nassau and J. W. Shiever, Phys. Rev. B8, 1444 (1973).ADSGoogle Scholar
  114. 109.
    P. J. Dean, J. D. Cuthbert, D. G. Thomas and R. T. Lynch, Phys. Rev. Lett. 18, 122 (1967).ADSCrossRefGoogle Scholar
  115. 110.
    A. C. Carter, P. J. Dean, M. S. Skolnick and R. A. Stradling, J. Phys. C10, 5111 (1977).ADSGoogle Scholar
  116. 111.
    P. J. Dean, J. R. Haynes and W. F. Flood, Phys. Rev. 161, 711 (1967).ADSCrossRefGoogle Scholar
  117. 112.
    C. H. Henry and K. Nassau, Phys. Rev. B2, 997 (1970).ADSGoogle Scholar
  118. 113.
    P. J. Dean, W. J. Choyke and L. Patrick, J. Lumin. 15, 299 (1977).CrossRefGoogle Scholar
  119. 114.
    P. J. Dean, D. C. Herbert and A. M. Lahee, J. Phys. C13, 5071 (1980).ADSGoogle Scholar
  120. 115.
    A. Nakamura and C. Weisbuch, Solid State Electron. 21, 1331 (1978).ADSCrossRefGoogle Scholar
  121. 116.
    R. Ulbrich, Phys. Rev. Lett. 27, 1512 (1971).ADSCrossRefGoogle Scholar
  122. 117.
    Photoconductivity oscillatory structure is reviewed by P. G. Harper, J. W. Hodby and R. A. Stradling, Rep. Prog. Phys. 37, 1 (1973),ADSCrossRefGoogle Scholar
  123. 117a.
    while Photoluminescence effects are discussed by S. Permogorov, Phys. Status Solidi b68, 9 (1975).ADSCrossRefGoogle Scholar
  124. 118.
    P. J. Dean, Phys. Rev. 168, 889 (1968).ADSCrossRefGoogle Scholar
  125. 119.
    D. Munz and M. H. Pilkuhn, Solid State Commun. 36, 205 (1980).ADSCrossRefGoogle Scholar
  126. 120.
    H. Haug, J. Appl. Phys. 39, 4687 (1968).ADSCrossRefGoogle Scholar
  127. 121.
    C. Benoit a la Guillaume, J. M. Debever and F. Salvan, Phys. Rev. 177, 567 (1969).ADSCrossRefGoogle Scholar
  128. 122.
    H. Mahr, Excitons at High Density, ed. by H. Haken and S. Nikitine (Springer Verlag, New York, 1975), p. 265.CrossRefGoogle Scholar
  129. 123.
    K. L. Shaklee, R. E. Nahory and R. F. Leheny, J. Lumin. 7, 284 (1973).CrossRefGoogle Scholar
  130. 124.
    M. G. Craford and N. Holonyak Jr., Optical Properties of Solids, new developments, ed. by B. Seraphin (North Holland, Amsterdam, 1976), p. 187.Google Scholar
  131. 125.
    D. G. Thomas and J. J. Hopfield, J. Appl. Phys. 33, 3243 (1962).ADSCrossRefGoogle Scholar
  132. 126.
    M. H. L. Thewalt, Solid State Commun. 25, 991 (1978).ADSCrossRefGoogle Scholar
  133. 127.
    G. M. Gale and A. Mysyrowicz, Phys. Rev. Lett. 32, 727 (1974).ADSCrossRefGoogle Scholar
  134. 123.
    R. C. Casella, J. Phys. Chem. Solids 24, 19 (1963).ADSCrossRefGoogle Scholar
  135. 129.
    L. L. Chase, N. Peyghambarian, G. Grynberg and A. Mysyrowicz, Phys. Rev. Lett. 42, 1231 (1979).ADSCrossRefGoogle Scholar
  136. 130.
    M. Ojima, T. Kushida, Y. Tanaka and S. Shionoya, Solid State Commun. 24, 841 (1977).ADSCrossRefGoogle Scholar
  137. 131.
    J. L. Merz, R. A. Faulkner and P. J. Dean, Phys. Rev. 188, 1228 (1969).ADSCrossRefGoogle Scholar
  138. 132.
    W. Czaja, L. Krausbauer, B. J. Curtis and P. J. Dean, Solid State Commun. 12, 807 (1973).ADSCrossRefGoogle Scholar
  139. 133.
    A. S. Kaminskii and Ya. E. Pokrovskii, Pisma Zh. ETF 11, 381 (1970). [Engl. Transi. JETP Lett. 11, 255 (1970)].ADSGoogle Scholar
  140. 134.
    M. L. W. Thewalt, Bound Multiexciton Complexes, in Excitons, ed. by M. D. Sturge, Modern Problems in Solid State Physics (North Holland, Amsterdam, to be published).Google Scholar
  141. 135.
    R. Sauer, Proc. Int. Conf. Phys. Semicond., Stuttgart, 1974, ed. by M. H. Pilkhun (Teubner, Stuttgart, 1974), p. 42.Google Scholar
  142. 136.
    R. Sauer and J. Weber, Phys. Rev. Lett. 36, 48 (1976).ADSCrossRefGoogle Scholar
  143. 137.
    P. J. Dean, D. C. Herbert, D. Bimberg and W. J. Choyke, Phys. Rev. Lett. 37, 1635 (1976).ADSCrossRefGoogle Scholar
  144. 138.
    R. Sauer and J. Heber, Phys. Rev. Lett. 39, 770 (1977).ADSCrossRefGoogle Scholar
  145. 139.
    D. C. Herbert, P. J. Dean and W. J. Choyke, Solid State Commun. 24, 383 (1977).ADSCrossRefGoogle Scholar
  146. 140.
    M. L. W. Thewalt, Solid State Commun. 25, 513 (1978).ADSCrossRefGoogle Scholar
  147. 141.
    M. L. W. Thewalt, Can. J. Phys. 55, 1463 (1977).ADSCrossRefGoogle Scholar
  148. 142.
    G. Kirczenow, Can. J. Phys. 55, 1787 (1977).ADSCrossRefGoogle Scholar
  149. 143.
    A. E. Mayer and E. C. Lightowlers, J. Phys. C12, L539 (1979).ADSGoogle Scholar
  150. 144.
    R. Sauer, W. Schmid, J. Weber and U. Rehbein, Phys. Rev. B19, 6502 (1979).ADSGoogle Scholar
  151. 145.
    P. J. Dean and D. C. Herbert, J. Lumin. 14, 55 (1976).Google Scholar
  152. 146.
    C. Weisbuch, Ph.D. Thesis, cited by M. Voos, R. F. Leheny and J. Shah, Radiative Recombination, in Handbook on Semiconductors, Vol. 2, Optical Properties of Solids, ed. by M. Balkanski (North Holland, Amsterdam, 1980), p. 329.Google Scholar
  153. 147.
    Y. L. Yarnell, J. L. Warren, R. G. Wenzel and P. J. Dean, Neutron Inelastic Scattering 1, 301 (1968).Google Scholar
  154. 148.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 116, 573 (1959).ADSCrossRefGoogle Scholar
  155. 149.
    P. J. Dean, B. Monemar, H. P. Gislason and D. C. Herbert, to be published.Google Scholar
  156. 150.
    S. A. Lyon, D. L. Smith and T. C. McGill, Phys. Rev. B17, 2620 (1978).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • P. J. Dean
    • 1
  1. 1.Royal Signals and Radar EstablishmentMalvern, WorcsUK

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