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Reviews of topical problems


Effect of isotopic composition on phonon modes. Static atomic displacements in crystals

 a,  b
a Institute of Superconductivity and Solid-State Physics, Russian Research Centre ‘Kurchatov Institute’, pl. Kurchatova 1, Moscow, Russian Federation
b Institute of Molecular Physics, Russian Research Center ‘Kurchatov Institute’, pl. Kurchatova 1, Moscow, 123182, Russian Federation

Theoretical and experimental work relevant to isotopic (mass) effects in solids is reviewed. The effect of isotopic composition on the phonon spectrum is discussed with particular emphasis on chemically pure and nearly perfect semiconductor single crystals. The fundamental role of polarization vectors in polyatomic compounds is pointed out. Static atomic displacements around isotopic impurities — an effect potentially leading to considerable phonon (and electron) scattering in strongly anharmonic crystals — are also discussed.

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Fulltext is also available at DOI: 10.1070/PU2001v044n08ABEH000965
PACS: 61.66.−f, 61.72.Ji, 63.20.−e (all)
DOI: 10.1070/PU2001v044n08ABEH000965
URL: https://ufn.ru/en/articles/2001/8/b/
000173352300002
Citation: Zhernov A P, Inyushkin A V "Effect of isotopic composition on phonon modes. Static atomic displacements in crystals" Phys. Usp. 44 785–811 (2001)
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Îðèãèíàë: Æåðíîâ À Ï, Èíþøêèí À Â «Âëèÿíèå êîìïîçèöèè èçîòîïîâ íà ôîíîííûå ìîäû. Ñòàòè÷åñêèå àòîìíûå ñìåùåíèÿ â êðèñòàëëàõ» ÓÔÍ 171 827–854 (2001); DOI: 10.3367/UFNr.0171.200108b.0827

References (150) ↓ Cited by (39) Similar articles (20)

  1. De Biévre P, Taylor P D P Int. J. Mass Spectrom. Ion Proc. 124 149 (1993)
  2. Ubbelohde A R Trans. Faraday Soc. 32 525 (1936)
  3. Robertson J M, Ubbelohde A R Proc. R. Soc. London. Ser. A 170 222 (1939)
  4. Maxwell E Phys. Rev. 78 477 (1950)
  5. Reynolds C A et al. Phys. Rev. 78 487 (1950)
  6. Geballe T H, Hull G W Phys. Rev. 110 773 (1958)
  7. Bardeen J, Cooper L N, Schrieffer J R Phys. Rev. 108 1175 (1957)
  8. Pomeranchuk I Ya Zh. Eksp. Teor. Fiz. 12 245 (1942); see also Sobranie Nauchnykh Trudov (Collected Papers) Vol. 1 (Moscow: Nauka, 1972) pp. 122-142; J. Phys. USSR 6 237 (1942)
  9. Gel’d P V, Ryabov R A, Mokhracheva L P Vodorod i Fizicheskie Svoîstva Metallov i Splavov: Gidridy Perekhodnykh Metallov (Hydrogen and Physical Properties of Metals and Alloys: Transition Metal Hydrides, Moscow: Nauka, 1985)
  10. Zhernov A P, Chernoplekov N A, Mrozan E Metally s Nemagnitnymi Primesnymi Atomami (Metals with Nonmagnetic Impurity Atoms, Moscow: Energoatomizdat, 1992)
  11. Richter D Transport Mechanisms of Light Interstitials in Metal-Muon-Spin Rotation and Neutron Scattering (Berlin: Springer-Verlag, 1983)
  12. Kagan Yu M, Prokof’ev N V Zh. Eksp. Teor. Fiz. 90 2176 (1986) [Sov. Phys. JETP 63 1276 (1986)]
  13. Vladár K, Zawadowski A Phys. Rev. B 28 1564 (1983)
  14. Vladár K, Zawadowski A Phys. Rev. B 28 1582 (1983)
  15. Vladár K, Zawadowski A Phys. Rev. B 28 1596 (1983)
  16. Trickey S B, Kirk W P, Adams E D Rev. Mod. Phys. 44 668 (1972)
  17. Esel’son B N et al. Svoîstva Zhidkogo i Tverdogo Geliya. Rastvory 3He-4He: Spravochnik (Properties of Liquid and Solid Helium. 3He-4He solutions: Handbook, Kiev: Naukova Dumka, 1982)
  18. Ishmaev S N et al. Zh. Eksp. Teor. Fiz. 84 394 (1983) [Sov. Phys. JETP 57 228 (1983)]
  19. Ishmaev S N et al. Zh. Eksp. Teor. Fiz. 89 1249 (1985) [Sov. Phys. JETP 62 721 (1985)]
  20. Ishmaev S N et al. Zh. Eksp. Teor. Fiz. 102 711 (1992) [Sov. Phys. JETP 75 382 (1992)]
  21. Bagatskiî M I et al. Fiz. Nizk. Temp. 12 343 (1986)
  22. Manzhelii V G Can. J. Phys. 65 1471 (1987)
  23. Korolyuk O A et al. Fiz. Nizk. Temp. 25 944 (1999) [Low Temp. Phys. 25 708 (1999)]
  24. Gorodilov B Y et al. J. Low Temp. Phys. 119 497 (2000)
  25. Maradudin A A, Montroll E W, Weiss G H Theory of Lattice Dynamics in the Harmonic Approximation (New York: Acad. Press, 1963) [Translated into Russian (Moscow: Mir, 1965)]
  26. Maradudin A A Theoretical and Experimental Aspects of the Effects of Point Defects and Disorder on the Vibrations of Crystals (New York: Acad. Press, 1966) [Translated into Russian: Defekty i Kolebatel’nyî Spektr Kristallov (Defects and Oscillation Spectrum of Crystals, Moscow: Mir, 1968)]
  27. Lifshitz I M, Kosevich A M Rep. Prog. Phys. 29 217 (1966)
  28. Lifshitz I M, Gredeskul S A, Pastur L A Vvedenie v Teoriyu Neuporyadochennykh Sistem (Introduction to the Theory of Disordered Systems, Moscow: Nauka, 1982) [Translated into English (New York: Wiley, 1988)]
  29. Kagan Yu M, in Fizika Kristallov s Defektami: Materialy Shkoly po Teorii Defektov v Kristallakh i Radiatsionnykh Narusheniî, Telavi, Gruz. SSR, 1965 (Physics of Crystals with Defects: Materials of School on the Theory of Defects in Crystals and Radiation Disorders) Vol. 2 (Tbilisi: Izd. Inst. Fiz. AN Gruz. SSR, 1966) p. 93
  30. Anthony T R et al. Phys. Rev. B 42 1104 (1990)
  31. Anthony T R, Banholzer W F Diamond Relat. Mater. 1 717 (1992)
  32. Itoh K et al. J. Mater. Res. 8 1341 (1993)
  33. Widulle F et al. Physica B 263-264 381 (1999)
  34. Takyu K et al. Jpn. J. Appl. Phys. Pt. 2 38 L1493 (1999)
  35. Bulanov A D et al. Cryst. Res. Technol. 35 1023 (2000)
  36. Cardona M Phys. Status Solidi B 220 5 (2000)
  37. Vohra Y K, Vagarali S S Appl. Phys. Lett. 61 2860 (1992)
  38. Prigogine I, Bingen R, Jeener J Physica 20 383 (1954)
  39. Prigogine I, Jeener J Physica 20 516 (1954)
  40. Bättger H Principles of the Theory of Lattice Dynamics (Weinheim: Physik-Verlag, 1983)
  41. Elliott R J, Krumhansl J A, Leath P L Rev. Mod. Phys. 46 465 (1974)
  42. Ehrenreich G, Schwartz L The Electronic Structure of Alloys (New York: Acad. Press, 1976) [Translated into Russian (Moscow: Mir, 1979)]
  43. Rahman A et al. Phys. Rev. B 14 3630 (1976)
  44. Rafizadeh H A Phys. Rev. B 23 1628 (1981)
  45. Economou E N Green’s Functions in Quantum Physics 2nd ed. (Berlin: Springer-Verlag, 1983)
  46. Haydock R Solid State Phys. 35 215 (1980)
  47. Hass K C, Davis L C, Zunger A Phys. Rev. B 42 3757 (1990)
  48. Vast N, Baroni S Phys. Rev. B 61 9387 (2000)
  49. Born M, Kuhn H Dynamical Theory of Crystal Lattices (Oxford: The Clarendon Press, 1954) [Translated into Russian (Moscow: IIL, 1958)]
  50. Leibfried G, Breuer N Point Defects in Metals (Berlin: Springer-Verlag, 1978)
  51. Dirac P A M The Principles of Quantum Mechanics 4th ed. (Oxford: The Clarendon Press, 1958) [Translated into Russian (Moscow: Fizmatgiz, 1960)]
  52. Landau L D, Lifshitz E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (Quantum Mechanics. Non-Relativistic Theory, Moscow: Nauka, 1974) [Translated into English (Oxford: Pergamon Press, 1977)]
  53. Menéndez J, Page J B, Guha S Philos. Mag. B 70 651 (1994)
  54. Tamura S Phys. Rev. B 27 858 (1983)
  55. Tamura S Phys. Rev. B 30 849 (1984)
  56. Kunc K, Balkanski M, Nusimovici M A Phys. Rev. B 12 4346 (1975)
  57. Kunc K, Balkanski M, Nusimovici M A Phys. Status Solidi B 71 341 (1975)
  58. Kunc K, Balkanski M, Nusimovici M A Phys. Status Solidi B 72 229 (1975)
  59. Kunc K, Nielsen O H Comput. Phys. Commun. 16 181 (1979)
  60. Kunc K, Bilz H Solid State Commun. 19 1027 (1976)
  61. Borcherds P H, Kunc K J. Phys. C 11 4145 (1978)
  62. Kunc K, Nielsen O H Comput. Phys. Commun. 17 413 (1979)
  63. Cochran W Philos. Mag. 4 1082 (1959)
  64. Woods A D B, Cochran W, Brockhouse B N Phys. Rev. 119 980 (1960)
  65. Woods A D B et al. Phys. Rev. 131 1025 (1963)
  66. Cowley R A et al. Phys. Rev. 131 1030 (1963)
  67. Zhernov A P, Trenin A E Fiz. Tverd. Tela 27 3543 (1985)
  68. Zhernov A P, Trenin A E Fiz. Met. Metalloved. 66 640 (1988)
  69. Yanson I K, Khotkevich A V Atlas Mikrokontaktnykh Spektrov Elektron-Fononnogo Vzaimodeîstviya v Metallakh: Spravochnik (Atlas of Microcontact Spectra of Electron-Phonon Interaction in Metals: Handbook, Kiev: Naukova Dumka, 1986) [Translated into English: Khotkevich A V, Yanson I K Atlas of Point Contact Spectra of Electron-Phonon Interactions in Metals (Boston: Kluwer Acad., 1995)]
  70. Yonezawa F, Odagaki T Solid State Commun. 27 1199 (1978)
  71. Odagaki T, Yonezawa F Solid State Commun. 27 1203 (1978)
  72. Yonezawa F, in The Structure and Properties of Matter (Springer Series in Solid-State Sciences, Vol. 28, Ed. T Matsubara, Berlin: Springer-Verlag, 1982)
  73. Göbel A et al. Phys. Rev. B 58 10510 (1998)
  74. Ho K-M, Fu C-L, Harmon B N Phys. Rev. B 28 6687 (1983)
  75. Sham L J Phys. Rev. 188 1431 (1969)
  76. Pick R M, Cohen M H, Martin R M Phys. Rev. B 1 910 (1970)
  77. Savrasov S Yu, Maksimov E G Usp. Fiz. Nauk 165 773 (1995) [Phys. Usp. 38 737 (1995)]
  78. Martin R M Phys. Rev. 186 871 (1969)
  79. Hellmann H Einführung in die Quantenchemie (Leipzig: F. Deuticke, 1937)
  80. Feynman R P Phys. Rev. 56 340 (1939)
  81. Gonze X, Vigneron -P Phys. Rev. B 39 13120 (1989)
  82. Baroni S, Giannozzi P, Testa A Phys. Rev. Lett. 58 1861 (1987)
  83. Zeîn N E Fiz. Tverd. Tela 26 3028 (1984) [Sov. Phys. Solid State 26 1825 (1984)]
  84. Savrasov S Y Phys. Rev. B 54 16470 (1996)
  85. Wendel H, Martin R M Phys. Rev. B 19 5251 (1979)
  86. Kunc K, Martin R M Phys. Rev. Lett. 48 406 (1982)
  87. Yin M T, Cohen M L Phys. Rev. B 26 3259 (1982)
  88. Ihm J, Yin M T, Cohen M L Solid State Commun. 37 491 (1981)
  89. King-Smith R D, Needs R J J. Phys.: Condens. Mat. 2 3431 (1990)
  90. Giannozzi P et al. Phys. Rev. B 43 7231 (1991)
  91. Pavone P et al. Phys. Rev. B 48 3156 (1993)
  92. Kulda J et al. Phys. Rev. B 50 13347 (1994)
  93. Corso A D et al. Phys. Rev. B 47 3588 (1993)
  94. Parlinski K, Kawazoe Y Phys. Rev. B 60 15511 (1999)
  95. Karch K et al. Phys. Rev. B 50 17054 (1994)
  96. Wang C-Z, Yu R, Krakauer H Phys. Rev. Lett. 72 368 (1994)
  97. Lazarev A N, Mirgorodskiî A P, Smirnov M B Kolebatel’nye Spektry i Dinamika Ionno-Kovalentnykh Kristallov (Vibrational Spectra and Dynamics of Ion-Covalent Crystals, Leningrad: Nauka, 1985)
  98. Kvyatkovskiî O E, Maksimov E G Usp. Fiz. Nauk 154 3 (1988) [Sov. Phys. Usp. 31 1 (1988)]
  99. Strauch D, Dorner B J. Phys.: Condens. Mat. 2 1457 (1990)
  100. Chrenko R M J. Appl. Phys. 63 5873 (1988)
  101. Hass K C et al. Phys. Rev. B 44 12046 (1991)
  102. Ramdas A K et al. Phys. Rev. Lett. 71 189 (1993)
  103. Ramdas A K, Rodriguez S Phys. Status Solidi B 215 71 (1999)
  104. Muinov M, Kanda H, Stishov S M Phys. Rev. B 50 13860 (1994)
  105. Fuchs H D et al. Phys. Rev. B 44 8633 (1991)
  106. Zhang J M et al. Phys. Rev. B 57 1348 (1998)
  107. Wang D T et al. Phys. Rev. B 56 13167 (1997)
  108. Widulle F et al. Solid State Commun. 118 1 (2001)
  109. Göbel A et al. Phys. Rev. B 56 210 (1997)
  110. Zhang J M et al. Phys. Rev. B 56 14399 (1997)
  111. Göbel A et al. Phys. Rev. B 59 2749 (1999)
  112. Widulle F et al. Phys. Rev. Lett. 82 3089 (1999)
  113. Widulle F et al. Phys. Rev. Lett. 82 5281 (1999)
  114. Widulle F et al. Phys. Status Solidi B 215 131 (1999)
  115. Balkanski M, Wallis R F, Haro E Phys. Rev. B 28 1928 (1983)
  116. Cardona M, Ruf T Solid State Commun. 117 201 (2001)
  117. Fuchs H D et al. Phys. Rev. Lett. 70 1715 (1993)
  118. Debernardi A, Baroni S, Molinari E Phys. Rev. Lett. 75 1819 (1995)
  119. Hass K C et al. Phys. Rev. B 45 7171 (1992)
  120. Vogelgesang R et al. Phys. Rev. B 54 3989 (1996)
  121. Spitzer J et al. Solid State Commun. 88 509 (1993)
  122. Vast N, Baroni S Comput. Mater. Sci. 17 395 (2000)
  123. Ruf T et al. Solid State Commun. 105 311 (1998)
  124. Timofeev Yu A, Vinogradov B V, Stishov S M Pis’ma Zh. Eksp. Teor. Fiz. 69 211 (1999) [JETP Lett. 69 227 (1999)]
  125. Vogelgesang R et al. Phys. Rev. B 58 5408 (1998)
  126. Rohmfeld S et al. Phys. Rev. Lett. 86 826 (2001)
  127. Klemens P G, Maradudin A A Phys. Rev. 123 804 (1961)
  128. Glyde H R Phys. Rev. 177 262 (1969)
  129. Jones H D Phys. Lett. A 1 71 (1970)
  130. Zhernov A P Zh. Eksp. Teor. Fiz. 114 2153 (1998) [JETP 87 1172 (1998)]
  131. Verkhovskii S V et al. Appl. Magn. Reson. 17 557 (1999)
  132. Verkhovskii S V et al. Z. Naturforsch. A 55 105 (2000)
  133. Leibfried G, Ludwig W Theory of Anharmonic Effects in Crystals (New York: Acad. Press, 1961) [Translated into Russian (Moscow: IIL, 1963)]
  134. Krivoglaz M A Fiz. Met. Metalloved. 10 169 (1960)
  135. Soma T Physica B 92 1 (1977)
  136. Solt G Phys. Rev. B 18 720 (1978)
  137. Zhernov A P, Mamedov T A Phys. Status Solidi B 103 477 (1981)
  138. Zhernov A P Fiz. Nizk. Temp. 26 1226 (2000) [Low Temp. Phys. 26 908 (2000)]
  139. Solt G, Zhernov A P J. Phys. F 9 1013 (1979)
  140. Wagner H, Horner H Adv. Phys. 23 587 (1974)
  141. Yakubovskiî A et al., Private communication (2001)
  142. Stoneham A M Rev. Mod. Phys. 41 82 (1969)
  143. Mehring M, Kanert O, in Progress of Magnetic Resonance Spectroscopy Vol. 3 (Berlin: Springer-Verlag, 1972)
  144. Ivanov M A et al. J. Magn. Magn. Mater. 36 26 (1983)
  145. Maradudin A A, Ganesan S, Burstein E Phys. Rev. 163 882 (1967)
  146. Ham F S, in Electron Paramagnetic Resonance (Ed. S Geschwind, New York: Plenum Press, 1972)
  147. Weber W Phys. Rev. Lett. 33 371 (1974)
  148. Weber W Phys. Rev. B 15 4789 (1977)
  149. Eryit R, Herman I P Phys. Rev. B 53 7775 (1996)
  150. Rajput B D, Browne D A Phys. Rev. B 53 9052 (1996)
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