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Reviews of topical problems


Light scattering from electron-density fluctuations in multivalley semiconductors and metals

, ,  a
a Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation

The theoretical concepts of Raman scattering by free current carriers in semiconductors and metals are reviewed. Various elementary excitations are discussed as the sources of the light-scattering fluctuations: one-particle charge-density fluctuations and plasmons, spin-density fluctuations, and fluctuations of the density of electron energy and momentum. These elementary excitations are common to different solids: metals, semimetals, semiconductors, and superconductors. As an adequate mathematical apparatus that reflects the unitary nature of the Raman spectra of these elementary excitations in various solids, a macroscopic approach to describing their relaxation is proposed. In this approach one distinguishes two mechanisms of relaxation: the diffusion mechanism, in which relaxation occurs via diffusional fluxes of varying nature, and the Mandel'shtam–Leontovich mechanism, in which adiabatic relaxation of the light-scattering fluctuations occurs. In multivalley semiconductors these mechanisms coexist, giving an additive contribution to the reciprocal relaxation time of the fluctuations: in single-valley semiconductors, metals, and superconductors, one of these mechanisms is realized, depending on the details of the electron band structure. Here the correlation function that determines the Raman cross section satisfies the same kinetic or diffusional equation as the fluctuating quantity itself. As technical applications, the possibility is pointed out of contact-free determination of the parameters of the electronic spectrum of semiconductors, metals, semiconductor superlattices, and superconductors.

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Fulltext is also available at DOI: 10.1070/PU1993v036n05ABEH002181
PACS: 78.35.+c, 78.30.−j, 72.20.Jv (all)
DOI: 10.1070/PU1993v036n05ABEH002181
URL: https://ufn.ru/en/articles/1993/5/d/
Citation: Bairamov B Kh, Voitenko V A, Ipatova I P "Light scattering from electron-density fluctuations in multivalley semiconductors and metals" Phys. Usp. 36 (5) 392–435 (1993)
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Оригинал: Байрамов Б Х, Войтенко В А, Ипатова И П «Рассеяние света флуктуациями электронной плотности в многодолинных полупроводниках и металлах» УФН 163 (5) 67–114 (1993); DOI: 10.3367/UFNr.0163.199305d.0067

References (119) ↓ Cited by (8) Similar articles (20)

  1. Landau L D and E M Lifshits The Classical Theory Of Fields, (in Russian) 4th ed. (Nauka, M., 1973); (Engl, transl., Landau L D and E M Lifshits The Classical Theory Of Fields, (in Russian) (Pergamon Press, Oxford, 1975)
  2. Ve&ibreve;sbukh K and R Ul’rikh Light Scattering In Solids (in Russian) (Mir, M, 1985) p. 228, No. 3
  3. Abstre G&ibreve;ter, M Cardona, and A Pinczuk Light Scattering In Solids (in Russian) (Mir, M., 1984) p. 12
  4. Hamilton D C and A L McWhorter Light Scattering Spectra Of Solids (Springer-Verlag, New York, 1969) p. 309
  5. Platzman P M Phys. Rev. 139A 379 (1965)
  6. Ipatova I P, M I Kazanov, and A V Subashiev Zh. Eksp. Teor. Fiz. 84 1830 (1983); Ipatova I P, M I Kazanov, and A V Subashiev Sov. Phys. JETP 57 1066 (1983)
  7. Wolf P A Phys. Rev. 171 503 (1968)
  8. Voltenko V A, I P Ipatova, and A V Subashiev Pis’ma Zh. Eksp. Teor. Fiz. 37 334 (1983); Voltenko V A, I P Ipatova, and A V Subashiev JETP Lett. 37 396 (1983)
  9. Bir G L and G E Pikus Symmetry And Strain-Induced Effects In Semiconductors (in Russian) (Nauka, M., 1972); (Engl, transl., Bir G L and G E Pikus Israel Program For Scientific Translations, Jerusalem (Wiley, New York, 1975)
  10. Gantmakher V F and I B Levinson Scattering Of Current Carriers In Metals And Semiconductors (in Russian) (Nauka, M., 1984)
  11. Berestetski V B&ibreve;, E M Lifshits, and L P Pitaevski&ibreve; Quantum Electrodynamics (in Russian) (Nauka, M., 1980); (Engl, transl., Berestetski V B&ibreve;, E M Lifshits, and L P Pitaevski&ibreve; Quantum Electrodynamics (in Russian) (Pergamon Press, Oxford, 1982)
  12. Ivchenko E L, I G Lang, and S T Pavlov Fiz. Tverd. Tela (Leningrad) 19 1751 (1977), [sic].
  13. Alexandrou A and M Cardona Solid State Commun. 64 1029 (1987)
  14. Mills D L, A A Maradudin, and E Burstein Ann. Phys. (N.Y.) 56 504 (1970)
  15. I P Ipatova and V A Kosobukin Problems Of Semiconductor Physics (in Russian) (A. F. Ioffe Physicotechnical Institute, Academy of Sciences of the USSR, Leningrad, 1984) p. 60
  16. Landau L D and E M Lifshits Electrodynamics Of Continuous Media (in Russian) (Nauka, M., 1982); (Engl, transl. of earlier ed., Landau L D and E M Lifshits Electrodynamics Of Continuous Media (in Russian) (Pergamon Press, Oxford, 1960)
  17. Abrikosov A A and L A Fal’kovski&ibreve; Zh. Eksp. Teor. Fiz. 40 262 (1961); Abrikosov A A and L A Fal’kovski&ibreve; Sov. Phys. JETP 13 179 (1961)
  18. Abrikosov A A and I M Khalatnikov Zh. Eksp. Teor. Fiz. 34 198 (1958); Abrikosov A A and I M Khalatnikov Sov. Phys. JETP 7 135 (1958)
  19. Landau L D and E M Lifshits Statistical Physics (in Russian) Vol. Vol. 1 3rd Edn. (Nauka, M, 1976); (Engl, transl., Landau L D and E M Lifshits Statistical Physics (in Russian) Vol. Vol. 1 3rd Edn. (Pergamon Press, Oxford, 1980)
  20. Lifshits E M and E M Pitaevski&ibreve; Statistical Physics (in Russian) Vol. Vol. 2 (Nauka, M., 1978)
  21. Mooradian A Phys. Rev. Lett. 20 1102 (1968)
  22. Dai-Sik-Kim and P Y Yu Phys. Rev. B 43 4158 (1991)
  23. Tsen K T and O F Sankey Phys. Rev. B 37 4321 (1987)
  24. Du Bois and V Gilinsky Phys. Rev. 133A 1308 (1964)
  25. Ipatova I P and V A Voitenko Phys. Rep. 194 361 (1990)
  26. Bass F G, A A Bulgakov, and A P Tetervov High-Frequency Properties Of Semiconductors With Superlattices (in Russian) (Nauka, M., 1989)
  27. Tomsen K and M Cardona Physical Properties Of High-Temperature Superconductors (in Russian) (Mir, M., 1990) p. 411
  28. Rostoker M N and N Rosenbluth Phys. Fluids 5 776 (1962)
  29. Cerdeira F, N Mestres, and M Cardona Phys. Rev. B 29 3737 (1984)
  30. Klein M V Light Scattering In Solids (in Russian) (Mir, M., 1979) p. 174
  31. Abrikosov A A and V M Genkin Zh. Eksp. Teor. Fiz. 65 842 (1973); Abrikosov A A and V M Genkin Sov. Phys. JETP 38 417 (1974)
  32. Voitenko V A Fiz. Tverd. Tela (Leningrad) 26 1002 (1984); Voitenko V A Sov. Phys. Solid State 26 611 (1984)
  33. Doehler J Phys. Rev. B 12 2917 (1975)
  34. Lifshits E M, M Ya Azbel’, and M I Kaganov Electron Theory Of Metals (in Russian) (Nauka, M., 1971); (Engl, transl., Lifshits E M, M Ya Azbel’, and M I Kaganov Electron Theory Of Metals (in Russian) (Consultants Bureau, New York, 1973)
  35. Tomchuk P M and V A Shenderovski&ibreve; Zh. Eksp. Teor. Fiz. 62 1131 (1972); Tomchuk P M and V A Shenderovski&ibreve; Sov. Phys. JETP 35 598 (1972)
  36. Gurevich V L, I G Lang, and S T Pavlov Zh. Eksp. Teor. Fiz. 59 1679 (1970); Gurevich V L, I G Lang, and S T Pavlov Sov. Phys. JETP 32 914 (1971)
  37. Kane E O J. Phys Chem. Solids 1 249 (1957)
  38. Pinczuk A, L Brillson, and E Burstein Phys. Rev. Lett. 27 317 (1971)
  39. Vo&ibreve;tenko V A Fiz. Tverd. Tela (Leningrad) 29 3177 (1987); Vo&ibreve;tenko V A Sov. Phys. Solid State 29 1827 (1987)
  40. Landau L D and E M Lifshits Quantum Mechanics (in Russian) (Nauka, M., 1989)
  41. Pikus G E, V A Marushchak, and A N Titkov Fiz. Tekh. Polu-provodn. 22 185 (1988); Pikus G E, V A Marushchak, and A N Titkov Sov. Phys. Semicond. 22 115 (1988)
  42. Mestres N and M Cardona Phys. Rev. Lett. 55 1132 (1985)
  43. Contreras G, A K Sood, and M Cardona Phys. Rev. B 32 930 (1985)
  44. Aronov A G and E L Ivchenko Zh. Eksp. Teor. Fiz. 57 247 (1969); Aronov A G and E L Ivchenko Sov. Phys. JETP 30 138 (1970)
  45. Jusserand B, D Richards, H Peric, and B Etienne Phys. Rev. Lett. 69 848 (1992)
  46. Cerdeira F, T A Fjeldly, and M Cardona Phys. Rev. B 8 4734 (1973)
  47. Kanehisa M A, R F Wallis, and M Balkanski Phys. Rev. B 25 7619 (1982)
  48. Chandrasekhar M, U Rossler, and M Cardona Phys. Rev. B 22 761 (1980)
  49. Chandrasekhar M, M Cardona, and E O Kane Phys. Rev. B 16 3579 (1977)
  50. Wagner J and M Cardona Phys. Rev. B 32 8071 (1985)
  51. Hensel J C, H Nasegawa, and H Nakayama Phys. Rev. 138A 225 (1965)
  52. Compaan A, G Contreras, M Cardona, and A Axmann J. Phys. (Paris), Colloq. 44 C5-197 (1983)
  53. Seeger K Semiconductor Physics (Springer-Verlag, Berlin, 1974); (Russ. transl., Seeger K Semiconductor Physics (Mir, M., 1977)
  54. Shklovski B I&ibreve; and A L Éfros Electronic Properties Of Doped Semiconductors (in Russian) (Nauka, M., 1979); (Engl, transl., Shklovski B I&ibreve; and A L Éfros Electronic Properties Of Doped Semiconductors (in Russian) (Springer-Verlag, New York, 1984)
  55. Ginzburg S L Zh. Eksp. Teor. Fiz. 63 2264 (1972); Ginzburg S L Sov. Phys. JETP 36 1198 (1972)
  56. Ramsden S and W Davies Phys. Rev. Lett. 16 303 (1966)
  57. Shelest A E Microcalculators In Physics (in Russian) (Nauka, M., 1988)
  58. Ba&ibreve;ramov B H, V A Vo&ibreve;tenko, I P Ipatova, and V V Toporov Laser Optics Of Condensed Matter Vol. Vol. 2 (Plenum, New York, 1991) p. 27
  59. Va&ibreve;nshte&ibreve;n L A, II Sobel’man, and E S Yukov Excitation Of Atoms And Broadening Of Spectral Lines (in Russian) (Nauka, M., 1979); (Engl. transl., Va&ibreve;nshte&ibreve;n L A, II Sobel’man, and E S Yukov Excitation Of Atoms And Broadening Of Spectral Lines (in Russian) (Springer-Verlag, Berlin, 1981)
  60. Benassi P, A Fontana, amd P A M Rodrigues Phys. Rev. B 43 1756 (1991)
  61. Lifshits E M and L P Pitaevski&ibreve; Physical Kinetics (in Russian) (Nauka, M., 1979); (Engl, transl., Lifshits E M and L P Pitaevski&ibreve; Physical Kinetics (in Russian) (Pergamon Press, Oxford, 1981)
  62. Vo&ibreve;tenko V A Fiz. Tekh. Poluprovodn. 21 2183 (1987); Vo&ibreve;tenko V A Sov. Phys. Semicond. 21 1322 (1987)
  63. Contreras G, A K Sood, and M Cardona Phys. Rev. B 32 924 (1985)
  64. Lukovsky G Solid State Commun. 3 299 (1965)
  65. Baranski P I&ibreve;, V V Kolomoets, and A V Fedosov Fiz. Tekh. Poluprovodn. 13 815 (1979); Baranski P I&ibreve;, V V Kolomoets, and A V Fedosov Sov. Phys. Semicond. 13 481 (1979)
  66. Yamanouchi C, K Mizuguchi, and W Sasaki Phys. Soc. Jpn. 22 859 (1967)
  67. Ipatova I P, A V Subashiev, and V A Voitenko Solid State Commun. 37 893 (1981)
  68. Cerdeira F, N Mestres, and M Cardona 17th International Conference on the Physics of Semiconductors (Springer, New York, 1984) p. 1113
  69. Nather H and G Quagliano J. Luminescence 30 50 (1985)
  70. Pinczuk A, Jagdeep Shah, and P A Wolf Phys. Rev. Lett. 47 1487 (1981)
  71. Abrikosov A A Introduction To The Theory Of Normal Metals, Suppl. 12 To Solid State Physics (Academic Press, New York, 1972); Russ. transl., Abrikosov A A Introduction To The Theory Of Normal Metals, Suppl. 12 To Solid State Physics (Nauka, M., 1972)
  72. Mermin N D Phys. Rev. B 1 2362 (1970)
  73. Fal’kovski&ibreve; L A Zh. Eksp. Teor. Fiz. 95 1146 (1989), [[sic].
  74. Ba&ibreve;ramov B H, I P Ipatova, V V Toporov, and V A Vo&ibreve;tenko Recent Trends In Raman Spectroscopy (World Scientific, Singapore, 1988) p. 386
  75. Ba&ibreve;ramov B H, I P Ipatova, V V Toporov, G Irmer, J Monecke, V A Vo&ibreve;tenko, and E Yane Appl. Surface Sci. 50 300 (1991)
  76. Ba&ibreve;ramov B Kh, V A Vo&ibreve;tenko, I P Ipatova, A V Subashiev, V V Toporov, and E Yane Fiz. Tverd. Tela (Leningrad) 28 754 (1986); Ba&ibreve;ramov B Kh, V A Vo&ibreve;tenko, I P Ipatova, A V Subashiev, V V Toporov, and E Yane Sov. Phys. Solid State 28 420 (1986)
  77. Abramson D A, K T Tsen, and R Bray Phys. Rev. B 26 6571 (1982)
  78. Tsen K T and R Bray Solid State Commun. 45 685 (1983)
  79. Ipatova I P, A V Subashiev, and V A Voitenko Ind. J. Pure Appl. Phys. 26 246 (1988)
  80. Vo&ibreve;tenko V A Fiz. Tverd. Tela (Leningrad) 33 3064 (1989), [[sic].
  81. Zavadovski A and M Cardona Phys. Rev. B 42 10732 (1990)
  82. Maksimov A A, I I Tartakovskil, V B Timofeev, and L A Fal’kovskil Zh. Eksp. Teor. Fiz. 97 1047 (1990); Maksimov A A, I I Tartakovskil, V B Timofeev, and L A Fal’kovskil Sov. Phys. JETP 70 588 (1990)
  83. Kogan Sh M and V D Shadrin Fiz. Tekh. Poluprovodn. 5 222 (1971); Kogan Sh M and V D Shadrin Sov. Phys. Semicond. 5 190 (1971)
  84. Klein M V and S B Dierker Phys. Rev. B 29 4976 (1984)
  85. Virosztek A and J Ruvalds Phys. Rev. Lett. 67 1657 (1991)
  86. Vo&ibreve;tenko V A Fiz. Tverd. Tela (Leningrad) 28 3091 (1986); Vo&ibreve;tenko V A Sov. Phys. Solid State 28 1739 (1986)
  87. D’yakonov M I and A V Khaetski&ibreve; Zh. Eksp. Teor. Fiz. 86 1843 (1984); D’yakonov M I and A V Khaetski&ibreve; Sov. Phys. JETP 59 1072 (1984)
  88. Ipatova I P and V A Voitenko Zh. Eksp. Teor. Fiz. 97 224 (1990); Ipatova I P and V A Voitenko Sov. Phys. JETP 70 125 (1990)
  89. Chapman S and T G Cowling Mathematical Theory Of Nonuniform Gases 2nd ed. (Cambridge University Press, 1952); (Russ. transl., Chapman S and T G Cowling Mathematical Theory Of Nonuniform Gases 2nd ed. (IL, M., 1960)
  90. Ipatova I P, A V Subashiev, and V A Shchukin Fiz. Tverd. Tela (Leningrad) 24 3401 (1982); Ipatova I P, A V Subashiev, and V A Shchukin Sov. Phys. Solid State 24 1932 (1982)
  91. Dicke I R Phys. Rev. 89 472 (1953)
  92. Platzman P M and P A Wolff Waves And Interactions In Solid State Plasma, Suppl. 13 To Solid State Phys. (Academic Press, New York, 1973); (Russ. Transl., Platzman P M and P A Wolff Waves And Interactions In Solid State Plasma, Suppl. 13 To Solid State Phys. (Mir, M., 1975)
  93. Ekenberg U Phys. Rev. B 40 7714 (1989)
  94. Superlattices and Other Microstruc-tures Light Scattering In Solids Vol. Vol. 5 (Springer-Verlag, Berlin, 1989)
  95. Ba&ibreve;ramov B H and I P Ipatova Laser Optics Of Condensed Matter (Plenum, New York) p. 245
  96. Govorov A O and A V Chaplik Zh. Eksp. Teor. Fiz. 95 1976 (1989); Fal’ko V I and D E Khmel’nitski&ibreve; Zh. Eksp. Teor. Fiz. 95 1988 (1989); Fal’ko V I and D E Khmel’nitski&ibreve; Sov. Phys. JETP 68 1143, 1150 (1989)
  97. Oberli D Y, D R Wake, M V Klein, J Klem, and H Morkoc Multiple Quantum Well Structures. (Fifth Topical Meeting on Ultrafast Phenomena, Snowmass, CO, 1986)
  98. Fasol G, N Mestres, M Dobers, A Fisher, and K Ploog Phys. Rev. B 36 1565 (1987); Fasol G, N Mestres, M Dobers, A Fisher, and K Ploog Phys. Rev. Lett. 56 2092 (1986)
  99. VoTtenko V A, I P Ipatova, and A V Subashiev Light Scattering In Solids (Plenum, New York, 1979) p. 83
  100. Welder L and R Bechstedt Phys. Rev. B 35 5887 (1987)
  101. Bychkov Yu and E I Rashba Pis’ma Zh. Eksp. Teor. Fiz. 39 66 (1984); Bychkov Yu and E I Rashba JETP Lett. 39 78 (1984)
  102. VitlinaandA R Z V Chaplik Zh. Eksp. Teor. Fiz. 81 1011 (1981); VitlinaandA R Z V Chaplik Sov. Phys. JETP 54 536 (1981)
  103. Abstreiter G, R Merlin, and A Pinczuk IEEE J. Quantum Electron. QE-22 1771 (1986)
  104. Cardona M and I P Ipatova Preprint (1982)
  105. Demers R T, S Kong, M V Klein, and C P Flynn Phys. Rev. B 38 11523 (1988)
  106. Klein M V, S L Cooper, A L Kotz, Ran Liu, D Reznik, F Slakey, W C Lee, and D M Cinzberg M2S-HTSCIII: Proceedings of the Third International Conference on Materials and Mechanisms of Superconductivity Vol. 185 (Physica C, 1991) p. 1029
  107. Ponosov Yu S, G A Bolotin, G P Kovtun, and V A Elenski&ibreve; Fiz. Tverd. Tela (Leningrad) 26 815 (1984); Ponosov Yu S, G A Bolotin, G P Kovtun, and V A Elenski&ibreve; Sov. Phys. Solid State 26 491 (1984)
  108. Zavaritski N V&ibreve; Usp. Fiz. Nauk 160 177 (1990); Zavaritski N V&ibreve; Sov. Phys. Usp. 60 775 (1990)
  109. Klyama S and L A Fal’kovskii Zh. Eksp. Teor. Fiz. 100 625 (1991); Klyama S and L A Fal’kovskii Sov. Phys. JETP 73 346 (1991)
  110. Monien H and A Zavadovski Phys. Rev. B 41 8798 (1990)
  111. Abrikosov A A Physica C 182 191 (1991)
  112. Bockholt M, M Hoffmann, and G Guntherodt Physica C 171 42 (1991)
  113. Mccarty K F, J Z Liu, R N Shelton, and H B Radousky Phys. Rev. B42 9973 (1990)
  114. Heyen E T, M Cardona, J Karpinski, E Kaldis, and S Rusiecki Phys. Rev. B 43 12953 (1991)
  115. Lyons K B, S H Lion, M Hong, H S Chen, J Kwo, and T J Negran Phys. Rev. B 36 5592 (1987)
  116. Bazhenov A V, A V Gorbunov, N Y Klassen, S F Kodakov, I V Kukushkin, O V Kulakovskii, O V Mishochko, V B Timofeev, and B N Shepel Novel Superconductivity (Plenum, New York, 1987) p. 893
  117. Varma C M, P B Littlewood, S Schmitt-Rink, E Abrahams, and A E Ruckenstein Phys. Rev. Lett. 63 1996 (1989)
  118. Mandel’shtam L I and M A Leontovich Zh. Eksp. Teor. Fiz. 37 438 (1937)
  119. Ba&ibreve;ramov B Kh, V A Vo&ibreve;tenko, I P Ipatova, and V V Toporov "Light Scattering by Free Electrons in Semiconductors (in Russian)" Preprint of the A. F. Ioffe Physicotechnical Institute (Academy of Sciences of the USSR No. 1191, Leningrad, 1987)
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