Issues

 / 

1974

 / 

February

  

Reviews of topical problems


Phonons in nontransition metals

,  a
a National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

The article reviews the present status of the microscopic theory of non-transition-metal lattice vibrations. A regular scheme is described, which makes it possible to analyze in detail the role of the electrons in the formation of the phonon spectrum of metals. It is based on a consistent utilization of a small parameter $V_\mathbf{K}/\varepsilon F$, corresponding to the effective weakness of the interaction between the conduction electron and the ion core ($V_\mathbf{K}$ is the Fourier component of this interaction with a momentum transfer equal to one of the reciprocal-lattice vectors). Expansion of the electron-ion energy of the system in terms of this parameter yields, besides the pair interactions that are traditional for metals, also automatically the effective three-particle etc. unpaired inter-ion forces. It is shown that the unpaired forces play an important and sometimes decisive role in a number of questions, such as lattice stability, compressibility, the Cauchy relations for the elastic moduli, and singularities in the phonon spectrum. The theoretical analysis is illustrated by calculations of the static and dynamic properties of metals, and by comparison with experiment, using Na, Mg, Al, and $\beta$-Sn as examples.

Fulltext pdf (1.5 MB)
Fulltext is also available at DOI: 10.1070/PU1974v017n02ABEH004329
PACS: 63.20.Dj
DOI: 10.1070/PU1974v017n02ABEH004329
URL: https://ufn.ru/en/articles/1974/2/a/
Citation: Brovman E G, Kagan Yu M "Phonons in nontransition metals" Sov. Phys. Usp. 17 125–152 (1974)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Áðîâìàí Å Ã, Êàãàí Þ Ì «Ôîíîíû â íåïåðåõîäíûõ ìåòàëëàõ» ÓÔÍ 112 369–426 (1974); DOI: 10.3367/UFNr.0112.197403a.0369

Cited by (145) ↓ Similar articles (20)

  1. Badrtdinov D I, Katsnelson M I, Rudenko A N Phys. Rev. B 110 (6) (2024)
  2. Sadovskii M V Phys. Usp. 65 724 (2022)
  3. Shvets V  T Metallofiz. Noveishie Tekhnol. 42 901 (2020)
  4. Chubukov A V, Abanov A et al Annals Of Physics 417 168190 (2020)
  5. Shvets V T Phys. Metals Metallogr. 121 1 (2020)
  6. Benedek G, Bernasconi M et al Springer Handbook of Surface Science Springer Handbooks Chapter 23 (2020) p. 737
  7. Degtyarenko N N, Grishakov K S, Mazur E A Jetp Lett. 109 410 (2019)
  8. Skinner G C G, Paxton A T, Moriarty J A Phys. Rev. B 99 (21) (2019)
  9. Gulian M, Melkonyan G, Kasthurirengan S Quantum Stud.: Math. Found. 5 89 (2018)
  10. Shalaeva E V, Medvedeva N I et al Philosophical Magazine 97 1024 (2017)
  11. Degtyarenko N N, Mazur E A, Grishakov K S Solid State Communications 262 33 (2017)
  12. Hu H, Wu X et al Journal Of Alloys And Compounds 666 185 (2016)
  13. Sidnov K P, Belov D S et al Journal Of Alloys And Compounds 688 534 (2016)
  14. Dmitriev S V, Korznikova E A et al Uspekhi Fizicheskikh Nauk 186 471 (2016)
  15. Shvets V  T Metallofiz. Noveishie Tekhnol. 36 1287 (2016)
  16. Shvets V T Phys. Metals Metallogr. 116 328 (2015)
  17. Bobrov V B, Zagorodny A G, Trigger S A 41 901 (2015)
  18. Ponomareva A V, Vekilov Yu Kh, Abrikosov I A Journal Of Alloys And Compounds 586 S274 (2014)
  19. Shvets V T J. Exp. Theor. Phys. 116 159 (2013)
  20. Gabovich A M, Kuznetsov V I Eur. J. Phys. 34 371 (2013)
  21. Shvets V T, Kozitskii S V Phys. Solid State 55 681 (2013)
  22. Osipenko I A, Kukin O V, Gufan A Yu Bull. Russ. Acad. Sci. Phys. 77 913 (2013)
  23. Shvets V T, Kozytskiy S V Ukr. J. Phys. 58 458 (2013)
  24. Osipenko I A, Kukin O V et al Phys. Solid State 55 2405 (2013)
  25. Shvets V T Jetp Lett. 95 29 (2012)
  26. Gufan A Yu, Kukin O V et al Phys. Solid State 54 820 (2012)
  27. Ponomareva A V, Isaev E I et al Phys. Rev. B 85 (14) (2012)
  28. Shvets V T, Kozitskii S V, Shvets T V High Temp 50 194 (2012)
  29. Shvets’ V T, Kozits’kii S V, Shvets’ T V Ukr. J. Phys. 57 35 (2012)
  30. Shvets V T Phys. Metals Metallogr. 113 927 (2012)
  31. Gufan Yu M, Kukin O V, Smolin A Yu Bull. Russ. Acad. Sci. Phys. 75 1267 (2011)
  32. Egorov V S Uspekhi Fizicheskikh Nauk 180 785 (2010)
  33. Condensed Matter Physics 1 (2010) p. 341
  34. Gabovich A M, Voitenko A I et al Advances In Condensed Matter Physics 2010 1 (2010)
  35. Tarenkov V Yu, D’yachenko A I et al Phys. Solid State 51 1778 (2009)
  36. Ebeling W, Blaschke D et al J. Phys. A: Math. Theor. 42 214033 (2009)
  37. Shvets V T Carbon Nanomaterials in Clean Energy Hydrogen Systems NATO Science For Peace And Security Series C: Environmental Security Chapter 77 (2009) p. 615
  38. Ebeling W, Redmer R et al Contrib. Plasma Phys. 48 670 (2008)
  39. Shvets V T J. Exp. Theor. Phys. 104 655 (2007)
  40. Shvets V T Phys. Metals Metallogr. 103 330 (2007)
  41. Deligöz E, Çiftci Ya, Çolakoğlu K Materials Letters 59 2166 (2005)
  42. Kontsevoi O Y, Gornostyrev Yu N, Freeman A J JOM 57 43 (2005)
  43. Maksimov E G, Magnitskaya M V, Fortov V E Uspekhi Fizicheskikh Nauk 175 793 (2005)
  44. Ermolaev A M, Rashba G I 29 945 (2003)
  45. Gabovich A M, Voitenko A I, Ausloos M Physics Reports 367 583 (2002)
  46. Nonequilibrium Electrons and Phonons in Superconductors Selected Topics In Superconductivity Chapter 3 (2002) p. 67
  47. Egorov V S, Lykov P V J. Exp. Theor. Phys. 94 162 (2002)
  48. Pogosov V V, Kurbatsky V P J. Exp. Theor. Phys. 92 304 (2001)
  49. Dorfman S, Liubich V et al J. Phys.: Condens. Matter 13 6719 (2001)
  50. Pélissier J L, Wetta N Physica A: Statistical Mechanics And Its Applications 289 459 (2001)
  51. Gabovich A M, Voitenko A I et al Supercond. Sci. Technol. 14 R1 (2001)
  52. Fuks D, Dorfman S et al Int J Of Quantum Chemistry 85 354 (2001)
  53. Gornostyrev Yu N, Katsnelson M I et al Phys. Rev. B 62 7802 (2000)
  54. Karakozov A E, Maksimov E G J. Exp. Theor. Phys. 88 987 (1999)
  55. Fedorov A S Phys. Solid State 41 213 (1999)
  56. Revinskii A F Semiconductors 32 917 (1998)
  57. Colakoğlu K, Colak H et al Nouv Cim D 20 1863 (1998)
  58. Strauch D, Pavone P et al Advances in Solid State Physics / Festkörperprobleme Chapter 7 (1998) p. 99
  59. Zhernov A P J. Exp. Theor. Phys. 87 1172 (1998)
  60. Strauch D, Pavone P et al Advances In Solid State Physics Vol. Advances in Solid State Physics 37Ab initio lattice dynamics: Methods, results, and applications37 Chapter 7 (1998) p. 99
  61. Katsnelson M I, Naumov I I et al Philosophical Magazine B 75 389 (1997)
  62. Katsnelson M I, Sigalas M et al Philosophical Magazine B 75 407 (1997)
  63. Krivoglaz M A X-Ray and Neutron Diffraction in Nonideal Crystals Chapter 2 (1996) p. 75
  64. Krivolaz M A Diffuse Scattering of X-Rays and Neutrons by Fluctuations Chapter 2 (1996) p. 51
  65. Khodel V A, Shaginyan V R, Khodel V V Physics Reports 249 1 (1994)
  66. Katsnelson M I, Naumov I I, Trefilov A V Phase Transitions 49 143 (1994)
  67. Shvets V T Materials Science And Engineering: B 26 141 (1994)
  68. Ponedilok G V, Savenko V P Physica Status Solidi (b) 184 433 (1994)
  69. Kodess B N, Rakhmanov S Ya Solid State Communications 87 631 (1993)
  70. Malozovsky Y M, Fan J D Physics Letters A 184 136 (1993)
  71. Okoye C M I, Pal S Physica B: Condensed Matter 183 279 (1993)
  72. Kovalenko N P, Krasny Yu P, Mikho V V Journal Of Molecular Liquids 58 45 (1993)
  73. Aronov I E, Fal’ko V L Physics Reports 221 81 (1992)
  74. Ebina K, Kaburagi M Surface Science 242 124 (1991)
  75. Idiodi J O A Physica Status Solidi (b) 166 369 (1991)
  76. Gornostyrev Yu N, Katsnelson M I et al Physica Status Solidi (b) 164 185 (1991)
  77. EBINA Kuniyoshi, KABURAGI Makoto Strongly Coupled Plasma Physics (1990) p. 397
  78. Mohapatra M, Tolpadi S Pramana - J Phys 35 159 (1990)
  79. EBINA Kuniyoshi, KABURAGI Makoto Strongly Coupled Plasma Physics (1990) p. 397
  80. Kovalenko N P, Krasny Yu P Physica B: Condensed Matter 162 115 (1990)
  81. Greenberg B A, Katsnelson M I et al Physica Status Solidi (b) 158 441 (1990)
  82. Sandalov I S, Filatjev V I Physica B: Condensed Matter 162 139 (1990)
  83. Fomichev S V, Katsnelson M I et al Physica Status Solidi (b) 161 153 (1990)
  84. Vonsovsky S V, Katsnelson M I Springer Series In Solid-State Sciences Vol. Quantum Solid-State PhysicsMany-Particle Effects73 Chapter 5 (1989) p. 396
  85. GOROBCHENKO V D, KOHN V N, MAKSIMOV E G Modern Problems In Condensed Matter Sciences Vol. The Dielectric Function of Condensed SystemsThe Dielectric Function of the Homogeneous Electron Gas24 (1989) p. 87
  86. Tyuterev V G Soviet Physics Journal 32 479 (1989)
  87. Vaks V G, Katsnelson M I et al J. Phys.: Condens. Matter 1 5319 (1989)
  88. Ebina K, Miyagi H Physics Letters A 142 237 (1989)
  89. Vaks V G, Samolyuk G D, Trefilov A V Physics Letters A 127 37 (1988)
  90. Vaks V G, Trefilov A V J. Phys. F: Met. Phys. 18 213 (1988)
  91. Prakash D, Upadhyaya J C Journal Of Physics And Chemistry Of Solids 49 91 (1988)
  92. Zhernov A P, Kulagina T N Physica Status Solidi (b) 147 149 (1988)
  93. Prakash D, Upadhyaya J C Physica Status Solidi (b) 148 (2) (1988)
  94. Orlov V G Journal Of Magnetism And Magnetic Materials 61 337 (1986)
  95. Harrison R J Condensed Matter Theories Chapter 21 (1986) p. 207
  96. Bogdanov V I, Fuks D L Physica Status Solidi (b) 131 495 (1985)
  97. Fielek B L J. Phys. F: Met. Phys. 14 61 (1984)
  98. Reznik I M, Tolpygo K B J Struct Chem 24 501 (1984)
  99. Moraitis G, Khalifeh J, Demangeat C Journal Of The Less Common Metals 101 203 (1984)
  100. Kowalenko N P, Krasny Yu P Experientia Supplementum Vol. Transport Properties of Dense PlasmasTheory of Equilibrium and Kinetic Properties of Liquid Metals47 Chapter 5 (1984) p. 127
  101. Dementyev V M, Kozlov E V, Kolodeznaya S F MRS Proc. 39 (1984)
  102. Ebeling W, Fortov V E et al Experientia Supplementum Vol. Transport Properties of Dense PlasmasReferences47 Chapter 7 (1984) p. 168
  103. Kovalenko N P, Kuzmina L M Physica Status Solidi (b) 124 537 (1984)
  104. Kapitonov V S, Popov V N J Math Sci 23 2421 (1983)
  105. Karakhtanov V S, Maksimov E G Solid State Communications 48 85 (1983)
  106. John W Ergebnisse in der Elektronentheorie der Metalle Chapter 10 (1983) p. 375
  107. Ebina K Progress Of Theoretical Physics 69 1686 (1983)
  108. Bratkovsky A M, Vaks V G, Trefilov A V J. Phys. F: Met. Phys. 13 2517 (1983)
  109. Bogdanov V I, Ruban A V, Fuks D L Physica Status Solidi (b) 110 431 (1982)
  110. Bratkovsky A M, Vaks V G et al J. Phys. F: Met. Phys. 12 1293 (1982)
  111. Ebina K, Nagara H, Miyagi H Progress Of Theoretical Physics 68 781 (1982)
  112. Kozlov � V, Dement’ev V M Soviet Physics Journal 25 1122 (1982)
  113. Ebina K Progress Of Theoretical Physics 67 475 (1982)
  114. Vonsovsky S V, Izyumov Yu A, Kurmaev E Z Springer Series In Solid-State Sciences Vol. Superconductivity of Transition MetalsSuperconductivity in Transition Metals27 Chapter 4 (1982) p. 179
  115. Zarochentsev E V, Teplov S V Physica Status Solidi (b) 113 259 (1982)
  116. Smirnov V A, Kiselev Yu V, Kozlov � V Soviet Physics Journal 25 213 (1982)
  117. Christoph V, Kuzemsky A L, Frauenheim T Crystalline Electric Field Effects in f-Electron Magnetism Chapter 24 (1982) p. 219
  118. Vonsovsky S V, Izyumov Yu A, Kurmaev E Z Springer Series In Solid-State Sciences Vol. Superconductivity of Transition MetalsIntroduction27 Chapter 1 (1982) p. 1
  119. Stupfel B, Gautier F J. Phys. F: Met. Phys. 12 1577 (1982)
  120. Augst G R Physica Status Solidi (b) 104 357 (1981)
  121. Fielek B L J. Phys. F: Met. Phys. 11 2021 (1981)
  122. Khwaja F A, Razmi M S K Physica Status Solidi (b) 104 727 (1981)
  123. Zarochentsev E V, Teplov S V Solid State Communications 33 1107 (1980)
  124. Nakamura T, Nagara H, Miyagi H Progress Of Theoretical Physics 63 368 (1980)
  125. Shvets V T Theor Math Phys 42 178 (1980)
  126. Vaks V G, Kravchuk S P, Trefilov A V J. Phys. F: Met. Phys. 10 2325 (1980)
  127. Vaks V G, Zein N E et al Physica Status Solidi (b) 96 857 (1979)
  128. Postnikov V S, Postnikov V V, Fedorov V M Physica Status Solidi (b) 92 347 (1979)
  129. Katsnelson A A, Silonov V M, Khwaja F A Physica Status Solidi (b) 91 11 (1979)
  130. Hammerberg J Journal Of Physics And Chemistry Of Solids 39 617 (1978)
  131. Vaks V G, Zarochentsev E V et al Physica Status Solidi (b) 85 749 (1978)
  132. Vaks V G, Zarochentsev E V et al Physica Status Solidi (b) 85 63 (1978)
  133. Chakravarty S, Ashcroft N W Phys. Rev. B 18 4588 (1978)
  134. Kagan Yu, Pushkarev V V, Holas A Solid State Communications 27 335 (1978)
  135. Fielek B L J. Phys. F: Met. Phys. 8 577 (1978)
  136. Bigun G I Theor Math Phys 37 915 (1978)
  137. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 80 713 (1977)
  138. Schulz H, Hüfner S Solid State Communications 20 827 (1976)
  139. Cusack S, March N H et al J. Phys. F: Met. Phys. 6 749 (1976)
  140. Stepanov V G, Kozhevnikov V F Journal Of Engineering Physics 30 567 (1976)
  141. Solt G, Kollár J Physica Status Solidi (b) 71 769 (1975)
  142. Solt G, Kollár J Solid State Communications 16 453 (1975)
  143. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 66 349 (1974)
  144. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 65 869 (1974)
  145. Belenkii A Ya, Krasko G L Physica Status Solidi (b) 65 73 (1974)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions