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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 115))

Abstract

As discussed in Chap. 3, the non-thermal, photoexcited electrons and holes interact among themselves and other carriers present in the semiconductor. They achieve a distribution function characterized by a temperature in times of the order of 100 fs for the typical densities present in most femtosecond experiments. Initially, the temperatures of the electrons and the holes may be different, but a common temperature T c for the carrier system is typically achieved in times of the order of a picosecond. The thermalized carriers are hot, i.e., their distribution function is characterized by a temperature T c higher than the lattice temperature T L. Although some of the energy of the electronic system is lost to the lattice via carrier-phonon interactions during this thermalization process, most of the energy typically remains within the electronic system so that the non-thermal regime provides information primarily about carrier-carrier interactions. The next phase of the relaxation occurs as the thermalized, hot electron-hole distributions cool and approach the lattice temperature. Much of our information about the carrier energy loss processes to the lattice comes from a study of this cooling process.

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References

  1. E.M. Conwell: High Field Transport in Semiconductors (Academic, New York 1967)

    Google Scholar 

  2. B.R. Nag: Theory of Electrical Transport in Semiconductors (Pergamon, Oxford, UK 1972)

    Google Scholar 

  3. B.R. Nag: Electron Transport in Compound Semiconductors, Springer Ser. Solid-State Sci., Vol.11 (Springer, Berlin, Heidelberg 1980)

    Google Scholar 

  4. B.K. Ridley: Quantum Processes in Semiconductors (Clarendon, Oxford, UK 1982)

    Google Scholar 

  5. K. Seeger: Semiconductor Physics, 5th edn., Springer Ser. Solid-State Sci., Vol.40 (Springer, Berlin, Heidelberg 1991)

    Google Scholar 

  6. D.K. Ferry: Semiconductors (Macmillan, New York 1991)

    Google Scholar 

  7. J. Shah, R.C.C. Leite: Phys. Rev. Lett. 22, 1304 (1969)

    ADS  Google Scholar 

  8. G. Bauer: Springer Tracks Mod. Phys. 74, 1–6 (Springer, Berlin, Heidelberg 1974)

    Google Scholar 

  9. M. Voos, R.F. Leheny, J. Shah: In Handbook on Semiconductors Vol II: Optical Properties of Semiconductors, ed. by M. Balkanski (North-Holland, Amsterdam 1980) pp. 329–416

    Google Scholar 

  10. J. Shah, R.F. Leheny: In Semiconductors Probed by Ultrafast Laser Spectroscopy, ed. by R.R. Alfano (Academic, Orlando, FL 1984) pp.45–75

    Google Scholar 

  11. J. Shah: In Hot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah (Academic, Boston 1992) pp.279–312

    Google Scholar 

  12. J. Shah, A. Pinczuk, A.C. Gossard, W. Wiegmann: Phys. Rev. Lett. 54, 2045 (1985)

    ADS  Google Scholar 

  13. J. Shah: IEEE J. QE-22, 1728 (1986)

    Google Scholar 

  14. J. Shah: InPhysics of the Two-Dimensional Electron Gas, ed. by J.T. Devreese, F. M. Peeters (Plenum, New York 1987) pp. 183–225

    Google Scholar 

  15. S.M. Kogan: Sov. Phys. — Solid State 4, 1813 (1963)

    Google Scholar 

  16. M. Costato, L. Reggiani: Phys. Status Solidi (b) 58, 471 (1973)

    ADS  Google Scholar 

  17. M. Costato, G. Gagliani, C. Jacoboni, L. Reggiani: J. Phys. Chem. Solids 35, 1605 (1974)

    ADS  Google Scholar 

  18. J. Shah: Solid State Electron. 21, 43 (1978)

    ADS  Google Scholar 

  19. E.O. Göbel, O. Hildebrand: Phys. Status Solidi (b) 88, 645 (1978)

    ADS  Google Scholar 

  20. S. Das Sarma: InHot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah (Academic, Boston 1992) pp.53–85

    Google Scholar 

  21. S. Das Sarma, J.K. Jain, R. Jalabert: Phys. Rev. B 37, 4560 (1988)

    ADS  Google Scholar 

  22. J. Shah: Appl. Phys. Lett. 20, 479 (1972)

    ADS  Google Scholar 

  23. J. Shah: Phys. Rev. B 9, 562 (1974)

    ADS  Google Scholar 

  24. J. Shah, R.F. Leheny, R.E. Nahory, M.A. Pollack: Appl. Phys. Lett. 37, 475 (1980)

    ADS  Google Scholar 

  25. J. Shah, R.F. Leheny, R.E. Nahory, H. Temkin: Appl. Phys. Lett. 39, 618 (1981)

    ADS  Google Scholar 

  26. J. Shah, B. Etienne, R.F. Leheny, R.E. Nahory, A.E. DiGiovanni: J. Appl. Phys. 53, 9224 (1982)

    ADS  Google Scholar 

  27. R.S. Turtelli, A.R.B. Castro, R.C.C. Leite: Solid State Commun. 16, 969 (1975)

    ADS  Google Scholar 

  28. A. Mooradian, A. L. McWhorter: In Proc. 10th Int’l Conf. on the Physics of Semiconductors, ed. by S.P. Keller, J.C. Hensel, F. Stern (Atomic Energy Commission, Oak Ridge, TN 1970) pp.380–386

    Google Scholar 

  29. P.D. Southgate, D.S. Hall, A.B. Dreeben: J. Appl. Phys. 42, 2868 (1971)

    ADS  Google Scholar 

  30. N. Takenaka, M. Inoue, J. Shirafuji, Y. Inuishi: J. Phys. Soc. Jpn. 45, 1630 (1978)

    ADS  Google Scholar 

  31. A. Pinczuk, J. Shah, A.C. Gossard: Solid State Electron. 31, 477 (1988)

    ADS  Google Scholar 

  32. J. Shah, C. Lin, R.F. Leheny, A.E. DiGiovanni: Solid State Commun. 18, 487 (1976)

    ADS  Google Scholar 

  33. B. Etienne, J. Shah, R.F. Leheny, R.E. Nahory: Appl. Phys. Lett. 41, 1018 (1982)

    ADS  Google Scholar 

  34. J. Shah: Solid State Electron. 32, 1051 (1989)

    ADS  Google Scholar 

  35. R.F. Leheny, J. Shah, R.L. Fork, C.V. Shank, A. Migus: Solid State Commun. 31, 809 (1979)

    ADS  Google Scholar 

  36. C.V. Shank, R.L. Fork, R.F. Leheny, J. Shah: Phys. Rev. Lett. 42, 112 (1979)

    ADS  Google Scholar 

  37. D. von der Linde, R. Lambrich: Phys. Rev. Lett. 42, 1090 (1989)

    Google Scholar 

  38. S. Tanaka, H. Kobayashi, H. Sato, H. Shionoya: J. Phys. Soc. Jpn. 49, 1051 (1980)

    ADS  Google Scholar 

  39. J.H. Collet, W.W. Rühle, M. Pugnet, K. Leo, A. Million: Phys. Rev. B 40 12296 (1989)

    ADS  Google Scholar 

  40. K. Kash, J. Shah: Appl. Phys. Lett. 45, 401 (1984)

    ADS  Google Scholar 

  41. E.J. Yoffa: Phys. Rev. B 23, 1909 (1981)

    ADS  Google Scholar 

  42. H.M. van Driel: Phys. Rev. B 19, 5928 (1979)

    ADS  Google Scholar 

  43. M. Pugnet, J.H. Collet, A. Cornet: Solid State Commun. 38, 531 (1981)

    ADS  Google Scholar 

  44. J.H. Collet, A. Cornet, M. Pugnet, T. Amand: Solid State Commun. 42, 883 (1982)

    ADS  Google Scholar 

  45. W. Pötz, P. Kocevar: Phys. Rev. B 28, 7040 (1983)

    ADS  Google Scholar 

  46. W. Pötz, P. Kocevar: In Hot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah (Academic, Boston 1992) pp. 87–120

    Google Scholar 

  47. D. von der Linde, J. Kuhl, H. Klingenberg: Phys. Rev. Lett. 44, 1505 (1980)

    ADS  Google Scholar 

  48. J.A. Kash, C. Tsang, J.M. Hvam: Phys. Rev. Lett. 54, 2151 (1985)

    ADS  Google Scholar 

  49. J.A. Kash, J.C. Tsang: In Light Scattering in Solids VI, ed. by M. Cardona, G. Güntherodt, Topics Appl. Phys., Vol.68 (Springer, Berlin, Heidelberg 1990) Chap. 8

    Google Scholar 

  50. J.A. Kash, J.C. Tsang: In Spectroscopy of Nonequilibrium Electrons and Phonons, ed. by C V. Shank, B.P. Zakharchenya (Elsevier, Amsterdam 1992) pp. 113–168

    Google Scholar 

  51. K.T. Tsen: Int’l J. Mod. Phy. B 7, 4165 (1993)

    ADS  Google Scholar 

  52. J. Shah, R.C.C. Leite, J.F. Scott: Solid State Commun. 8, 1089 (1970)

    ADS  Google Scholar 

  53. J.H. Collet, J.L. Oudar, T. Amand: Phys. Rev. B 34, 26 (1986)

    Google Scholar 

  54. J.H. Collet, T. Amand: J. Phys. Chem. Solids 47, 153 (1986)

    ADS  Google Scholar 

  55. J.H. Collet, T. Amand, M. Pugnet: Phys. Lett. A 96, 368 (1994)

    ADS  Google Scholar 

  56. P. Lugli. S.M. Goodnick: Phys. Rev. Lett. 59, 716 (1987)

    ADS  Google Scholar 

  57. C. Jacoboni, P. Lugli: The Monte Carlo Method for Semiconductor Device Simulation (Springer, Vienna 1989)

    Google Scholar 

  58. P. Lugli, P. Bordone, L. Reggiani, M. Rieger, P. Kocevar, S.M. Goodnick: Phys. Rev. B 39, 7852 (1989)

    ADS  Google Scholar 

  59. S.M. Goodnick, P. Lugli: In Hot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah (Academic, Boston 1992) pp.191–234

    Google Scholar 

  60. P. Lugli: In Spectroscopy of Nonequilibrium Electrons and Phonons, ed. by C.V. Shank, B.P. Zakharchenya (Elsevier, Amsterdam 1992) pp.1 – 56

    Google Scholar 

  61. M.C. Marchetti, W. Pötz: Phys. Rev. B 40, 12391 (1989)

    ADS  Google Scholar 

  62. M.C. Marchetti, W. Pötz: J. Vac. Sci. & Technol. B 6, 1341 (1988)

    Google Scholar 

  63. W. Pötz, M.C. Marchetti: SPIE Proc. 942, 100 (1988)

    Google Scholar 

  64. D. Pines, P. Nozieres: The Theory of Quantum Liquids (Benjamin, New York 1966)

    Google Scholar 

  65. J. Lindhard: Kgl. Danske Videnskab Mat.-Fys. Medd. 28, 1 (1954)

    MathSciNet  Google Scholar 

  66. H. Haug, S.W. Koch: Quantum Theory of the Optical and Electronic Properties of Semiconductors (World Scientific, Singapore 1993)

    Google Scholar 

  67. J.R. Hayes, A.F.J. Levi: IEEE J. QE-22, 1744 (1986)

    Google Scholar 

  68. J.F. Young, N.L. Henry, P.J. Kelly: Solid State Electron. 32, 1567 (1989)

    ADS  Google Scholar 

  69. J.F. Young, P.J. Kelly: Phys. Rev. B 47, 6316 (1993)

    ADS  Google Scholar 

  70. P. Lugli, D.K. Ferry: Phys. Rev. Lett. 56, 1295 (1986)

    ADS  Google Scholar 

  71. S.M. Goodnick, P. Lugli: Phys. Rev. B 38, 10135 (1988)

    ADS  Google Scholar 

  72. S.M. Goodnick, P. Lugli: Phys. Rev. B 37, 2578 (1988)

    ADS  Google Scholar 

  73. D.K. Ferry, A.M. Kriman, M.J. Kann, R.P. Joshi: Computer Physics Communications 67, 119 (1991)

    ADS  MATH  Google Scholar 

  74. J.H. Collet: Phys. Rev. B 47, 10279 (1993)

    ADS  Google Scholar 

  75. S. Das Sarma, B.A. Mason: Phys. Rev. B 31, 5536 (1985)

    ADS  Google Scholar 

  76. J.R. Senna, S. Das Sarma: Solid State Commun. 64, 1397 (1987)

    ADS  Google Scholar 

  77. S. Das Sarma, J.K. Jain, R. Jalabert: Phys. Rev. B 37, 6290 (1988)

    ADS  Google Scholar 

  78. J.K. Jain, R. Jalabert, S. Das Sarma: Phys. Rev. Lett. 60, 353 (1988)

    ADS  Google Scholar 

  79. J.F. Young, T. Gong, P.J. Kelly, P.M. Fauchet: Phys. Rev. B 50, 2208 (1994)

    ADS  Google Scholar 

  80. S. Das Sarma, J.K. Jain, R. Jalabert: Phys. Rev. B 37, 1228 (1988)

    ADS  Google Scholar 

  81. M. Asche and 0.G. Sarbei: Phys. Status Solidi (b) 126, 883 (1984)

    Google Scholar 

  82. W. Pötz: Phys. Rev. B 36, 5016 (1987)

    ADS  Google Scholar 

  83. H. Lobentanzer, H.-J. Polland, W.W. Rühle, W. Stolz, K. Ploog: Appl. Phys. Lett. 51, 673 (1987)

    ADS  Google Scholar 

  84. H. Lobentanzer, W. W. Rühle, H.-J. Polland, W. Stolz, K. Ploog: Phys. Rev. B 36, 2954 (1987)

    ADS  Google Scholar 

  85. H. Lobentanzer, H.-J. Polland, W.W. Rühle, W. Stolz, K. Ploog: Phys. Rev. B 36, 1136 (1987)

    ADS  Google Scholar 

  86. H. Lobentanzer, W.W. Rühle, W. Stolz, K. Ploog: Solid State Commun. 62, 53 (1987)

    ADS  Google Scholar 

  87. A.S. Vengurlekar, S.S. Prabhu, S.K. Roy, J. Shah: Phys. Rev. B 50, 8348 (1994)

    ADS  Google Scholar 

  88. R. Dingle, H. Stormer, A.C. Gossard, W. Wiegmann: Appl. Phys. Lett. 33, 665 (1978)

    ADS  Google Scholar 

  89. A.C. Gossard, A. Pinczuk: In Synthetic Modulated Structures, ed. by L. Chang, B. Giessen (Academic, Boston 1985) pp.215–255

    Google Scholar 

  90. C.H. Yang, J.M. Carson-Swindle, S.A. Lyon, J.M. Worlock: Phys. Rev. Lett. 55, 2359 (1985)

    ADS  Google Scholar 

  91. K. Kash, J. Shah, D. Block, A.C. Gossard, W. Weigmann: Physica B & C 134, 189 (1985)

    ADS  Google Scholar 

  92. J. Shah, A. Pinczuk, A.C. Gossard, W. Wiegmann, K. Kash: Surf. Sci. 174, 363 (1986)

    ADS  Google Scholar 

  93. J. A. P. Da Costa, R. A. Taylor, A. J. Turberfield, J. F. Ryan, W. I. Wang: In Proc. 18th Int’l Conf. on the Physics of Semiconductors, ed. by O. Engstrom (World Scientific, Singapore 1987) pp.1327–1330

    Google Scholar 

  94. K. Leo, W. W. Rühle: SPIE Proc. 942, 231 (1988)

    Google Scholar 

  95. J.F. Ryan, M.C. Tatham, D.J. Westland, C.T. Foxon, M.D. Scott, W.I. Wang: SPIE Proc. 942, 256 (1988)

    Google Scholar 

  96. J. Shah, G.J. Iafrate (guest eds.): Hot Carriers in Semiconductors: Proc. HCIS-5. Solid State Electron. 31, Nos.3 and 4 (1988)

    Google Scholar 

  97. M.C. Tatham, R.A. Taylor, J.F. Ryan, W.I. Wang, C.T. Foxon: Solid State Electron. 31, 459 (1988)

    ADS  Google Scholar 

  98. D.K. Ferry, L.A. Akers (guest eds.): Hot Carriers in Semiconductors: Proc. HCIS-6. Solid State Electron. 32, No.12 (1989)

    Google Scholar 

  99. C. Hamaguchi, M. Inoue (guest eds.): Hot Carriers in Semiconductors: Proc. HCIS-7. Semicond. Sci. Technol. 7, B (1992)

    Google Scholar 

  100. A. Tomita, J. Shah, J.E. Cunningham, S.M. Goodnick, P. Lugli, S.L. Chuang: Phys: Rev. B 48, 5708 (1993)

    ADS  Google Scholar 

  101. J.F. Ryan, A.C. Maciel (guest eds.): Hot Carriers in Semiconductors: Proc. HCIS-8. Semicond. Sci. Technol. 9, 55 (1994)

    Google Scholar 

  102. W.W. Rühle, H.-J. Polland: Phys. Rev. B 36, 1683 (1987)

    ADS  Google Scholar 

  103. W.W. Rühle, K. Leo, E. Bauser: Phys. Rev. B 40, 1756 (1989)

    ADS  Google Scholar 

  104. S. Tanaka, H. Kobayashi, H. Saito, S. Shionoya: Solid State Commun. 33, 167 (1980)

    ADS  Google Scholar 

  105. C.V. Shank, R.L. Fork, R. Yen, J. Shah, B.I. Greene, A.C. Gossard, C. Weisbuch: Solid State Commun. 47, 981 (1983)

    ADS  Google Scholar 

  106. J.F. Ryan, R.A. Taylor, A.J. Turberfield, A. Maciel, J.M. Worlock, A.C. Gossard, W. Wiegmann: Phys. Rev. Lett. 53, 1841 (1984)

    ADS  Google Scholar 

  107. Z.Y. Xu, C.L. Tang: Appl. Phys. Lett. 44, 692 (1984)

    ADS  Google Scholar 

  108. D.K. Ferry: Surf. Sci. 75, 86 (1978)

    MathSciNet  ADS  Google Scholar 

  109. K. Hess: Appl. Phys. Lett. 35, 484 (1979)

    ADS  Google Scholar 

  110. P.J. Price: Ann. Phys. 133, 217 (1981)

    ADS  Google Scholar 

  111. P.J. Price: J. Vac. Sci. Technol. 19, 599 (1981)

    ADS  Google Scholar 

  112. F.A. Riddoch, B.K. Ridley: J. Phys. C 16, 6971 (1983)

    ADS  Google Scholar 

  113. J. P. Leburton: J. Appl. Phys. 56, 2850 (1984)

    ADS  Google Scholar 

  114. F.A. Riddoch and B.K. Ridley: Surf. Sci. 142, 260 (1984)

    ADS  Google Scholar 

  115. B.K. Ridley: In Hot Carriers in Semiconductor Nanostructures: Physics and Applications, ed. by J. Shah (Academic, Boston 1992) pp.17–51

    Google Scholar 

  116. Z.Y. Xu, V.G. Kreismanis, C.L. Tang: Appl. Phys. Lett. 43, 415 (1983)

    ADS  Google Scholar 

  117. R.W.J. Hollering, T.T.J.M. Berendtschot, H.J.A. Bluyssen, P. Wyder, M.R. Leys, J.H. Wolter: Solid State Commun. 57, 527 (1986)

    ADS  Google Scholar 

  118. M.J. Rosker, F.W. Wise, C.L. Tang: Appl. Phys. Lett. 49, 1726 (1986)

    ADS  Google Scholar 

  119. J.F. Ryan, R.A. Taylor, A.J. Turberfield, J.M. Worlock: Surf. Sci. 170, 511 (1986)

    ADS  Google Scholar 

  120. K. Leo, W.W. Rühle, K. Ploog: Phys. Rev. B 38, 1947 (1988)

    ADS  Google Scholar 

  121. K. Leo, W.W. Rühle, H.J. Queisser, K. Ploog: Phys. Rev. B 37, 7121 (1988)

    ADS  Google Scholar 

  122. K. Leo, W.W. Rühle, H.J. Queisser, K. Ploog: Appl. Phys. A 45, 35 (1988)

    ADS  Google Scholar 

  123. W.W. Rühle, H.-J. Polland, E. Bauser, K. Ploog, C.W. Tu: Solid State Electron. 31, 407 (1988)

    Google Scholar 

  124. D.J. Westland, J.F. Ryan, M.D. Scott, J.I. Davies, J.R. Riffat: Solid State Electron. 31, 431 (1988)

    ADS  Google Scholar 

  125. K. Leo, W.W. Rühle, K. Ploog: Solid State Electron. 32, 1863 (1989)

    ADS  Google Scholar 

  126. K. Leo, W.W. Rühle, K. Ploog: Solid State Commun. 71, 101 (1989)

    ADS  Google Scholar 

  127. J.F. Ryan, M.C. Tatham: Solid State Electron. 32, 1429 (1989)

    ADS  Google Scholar 

  128. K. Leo, W. W. Rühle, E. Bauser, K. Ploog: SPIE Proc. 1282, 134 (1990)

    ADS  Google Scholar 

  129. W.S. Pelouch, R.J. Ellingson, P.E. Powers, C.L. Tang, D.H. Levi, A.J. Nozik: SPIE Proc. 1677, 260 (1992)

    ADS  Google Scholar 

  130. W.S. Pelouch, R.J. Ellingson, P.E. Powers, C.L. Tang, D.M. Szmyd, A.J. Nozik: Phys. Rev. B 45, 1450 (1992)

    ADS  Google Scholar 

  131. X.Q. Zhou, H.M. van Driel, W.W. Rühle, K. Ploog: Phys. Rev. B 46, 16148 (1992)

    ADS  Google Scholar 

  132. Y. Rosenwaks, M.C. Hanna, D.H. Levi, D.M. Szmyd, R.K. Ahrenkiel, A.J. Nozik: Phys. Rev. B 48, 14675 (1993)

    ADS  Google Scholar 

  133. J. Shah, A. Pinczuk, A.C. Gossard, W. Wiegmann: Physica B & C 134, 174 (1985)

    ADS  Google Scholar 

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Shah, J. (1996). Cooling of Hot Carriers. In: Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures. Springer Series in Solid-State Sciences, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03299-2_4

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