Выпуски

 / 

1974

 / 

Март

  

Обзоры актуальных проблем


Фононы в непереходных металлах

,  а
а Национальный исследовательский центр «Курчатовский институт», пл. акад. Курчатова 1, Москва, 123182, Российская Федерация

Содержание: Введение. Адиабатическое приближение в металле. Электронная энергия. Динамическая матрица. Длинноволновые фононы в металле. Проблема сжимаемости. Природа нарушения соотношений Коши в металлах. Уравнение состояния металла. Нулевая модель. Особенности электронных многополюсников. Об аномалиях на кривых дисперсии фононов. Межионные силы в дгеталле. Ковалентность. Вычисление неприводимых многополюсников. Многочастичная задача яри учете нелокальности электрон-ионного взаимодействия. Роль электронов в формировании равновесной решетки металлов.Роль электронов в формировании фононного спектра металлов. тированная литература.

Текст pdf (2,9 Мб)
English fulltext is available at DOI: 10.1070/PU1974v017n02ABEH004329
PACS: 63.20.Dj
DOI: 10.3367/UFNr.0112.197403a.0369
URL: https://ufn.ru/ru/articles/1974/3/a/
Цитата: Бровман Е Г, Каган Ю М "Фононы в непереходных металлах" УФН 112 369–426 (1974)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

English citation: Brovman E G, Kagan Yu M “Phonons in nontransition metalsSov. Phys. Usp. 17 125–152 (1974); DOI: 10.1070/PU1974v017n02ABEH004329

Статьи, ссылающиеся на эту (163) ↓ Похожие статьи (20)

  1. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 10. Mossbauer Effect: Diagonal Processes with Respect to Phonon Occupation Numbers1048 Chapter 10 (2026) p. 167
  2. Svensson P, Chuna T et al The Journal of Chemical Physics 165 (4) (2026)
  3. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 8. Phonon Spectrum in Crystals with Pairwise Interaction: Quantization of the Lattice Vibrations1048 Chapter 8 (2026) p. 129
  4. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 11. Neutron Scattering on Crystals1048 Chapter 11 (2026) p. 181
  5. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 9. Phonon Distribution Function: Specific Heat of the Crystal1048 Chapter 9 (2026) p. 149
  6. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 18. Charge Screening in Metals in the Random Phase Approximation1048 Chapter 18 (2026) p. 325
  7. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 17. Correlation Energy for the Interaction of Electrons with Opposite Spins1048 Chapter 17 (2026) p. 309
  8. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 15. Basic Interactions in Metals: Ion–Ion and Electron–Ion Interaction1048 Chapter 15 (2026) p. 275
  9. Kagan M Lecture Notes in Physics Vol. Lecture Notes of Professor Yuri Kagan in Theoretical Solid-State PhysicsLecture 7. Density of the Phonon States. Debye Approximation1048 Chapter 7 (2026) p. 107
  10. Sadovskii M V J Supercond Nov Magn 38 (6) (2025)
  11. Gabovich A M, Kuznetsov V I, Voitenko A I Low Temperature Physics 51 (7) 821 (2025)
  12. Badrtdinov D I, Katsnelson M I, Rudenko A N Phys. Rev. B 110 (6) (2024)
  13. Sadovskii M V Phys. Usp. 65 (07) 724 (2022)
  14. Shvets V T Phys. Metals Metallogr. 121 (1) 1 (2020)
  15. Shvets V  T Metallofiz. Noveishie Tekhnol. 42 (7) 901 (2020)
  16. Benedek G, Bernasconi M et al Springer Handbook of Surface Science Springer Handbooks Chapter 23 (2020) p. 737
  17. Chubukov A V, Abanov A et al Annals of Physics 417 168190 (2020)
  18. Degtyarenko N N, Grishakov K S, Mazur E A Jetp Lett. 109 (6) 410 (2019)
  19. Skinner G C G, Paxton A T, Moriarty J A Phys. Rev. B 99 (21) (2019)
  20. Gulian M, Melkonyan G, Kasthurirengan S Quantum Stud.: Math. Found. 5 (1) 89 (2018)
  21. Shalaeva E V, Medvedeva N I et al Philosophical Magazine 97 (13) 1024 (2017)
  22. Degtyarenko N N, Mazur E A, Grishakov K S Solid State Communications 262 33 (2017)
  23. Dmitriev S V, Korznikova E A et al Успехи физических наук 186 (5) 471 (2016)
  24. Sidnov K P, Belov D S et al Journal of Alloys and Compounds 688 534 (2016)
  25. Shvets V  Т Metallofiz. Noveishie Tekhnol. 36 (10) 1287 (2016)
  26. Hu H, Wu X et al Journal of Alloys and Compounds 666 185 (2016)
  27. Shvets V T Phys. Metals Metallogr. 116 (4) 328 (2015)
  28. Bobrov V B, Zagorodny A G, Trigger S A Low Temperature Physics 41 (11) 901 (2015)
  29. Ponomareva A V, Vekilov Yu Kh, Abrikosov I A Journal of Alloys and Compounds 586 S274 (2014)
  30. Gabovich A M, Kuznetsov V I Eur. J. Phys. 34 (2) 371 (2013)
  31. Osipenko I A, Kukin O V, Gufan A Yu Bull. Russ. Acad. Sci. Phys. 77 (7) 913 (2013)
  32. Shvets V T, Kozytskiy S V Ukr. J. Phys. 58 (05) 458 (2013)
  33. Osipenko I A, Kukin O V et al Phys. Solid State 55 (12) 2405 (2013)
  34. Shvets V T, Kozitskii S V Phys. Solid State 55 (4) 681 (2013)
  35. Shvets V T J. Exp. Theor. Phys. 116 (1) 159 (2013)
  36. Shvets V T Jetp Lett. 95 (1) 29 (2012)
  37. Швець В Т, Козицький С В, Швець Т В Ukr. J. Phys. 57 (1) 35 (2012)
  38. Shvets V T, Kozitskii S V, Shvets T V High Temp 50 (2) 194 (2012)
  39. Shvets V T Phys. Metals Metallogr. 113 (10) 927 (2012)
  40. Ponomareva A V, Isaev E I et al Phys. Rev. B 85 (14) (2012)
  41. Gufan A Yu, Kukin O V et al Phys. Solid State 54 (4) 820 (2012)
  42. Gufan Yu M, Kukin O V, Smolin A Yu Bull. Russ. Acad. Sci. Phys. 75 (9) 1267 (2011)
  43. Condensed Matter Physics 1 (2010) p. 341
  44. Egorov V S Uspekhi Fizicheskikh Nauk 180 (8) 785 (2010)
  45. Gabovich A M, Voitenko A I et al Advances in Condensed Matter Physics 2010 1 (2010)
  46. Ebeling W, Blaschke D et al J. Phys. A: Math. Theor. 42 (21) 214033 (2009)
  47. Tarenkov V Yu, D’yachenko A I et al Phys. Solid State 51 (9) 1778 (2009)
  48. 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
  49. Ebeling W, Redmer R et al Contrib. Plasma Phys. 48 (9-10) 670 (2008)
  50. Shvets V T J. Exp. Theor. Phys. 104 (4) 655 (2007)
  51. Shvets V T Phys. Metals Metallogr. 103 (4) 330 (2007)
  52. Kontsevoi O Y, Gornostyrev Yu N, Freeman A J JOM 57 (3) 43 (2005)
  53. Maksimov E G, Magnitskaya M V, Fortov V E Uspekhi Fizicheskikh Nauk 175 (8) 793 (2005)
  54. Deligöz E, Çiftci Ya, Çolakoğlu K Materials Letters 59 (17) 2166 (2005)
  55. Ermolaev A M, Rashba G I Low Temperature Physics 29 (11) 945 (2003)
  56. Nonequilibrium Electrons and Phonons in Superconductors Selected Topics in Superconductivity Chapter 3 (2002) p. 67
  57. Egorov V S, Lykov P V J. Exp. Theor. Phys. 94 (1) 162 (2002)
  58. Gabovich A M, Voitenko A I, Ausloos M Physics Reports 367 (6) 583 (2002)
  59. Dorfman S, Liubich V et al J. Phys.: Condens. Matter 13 (31) 6719 (2001)
  60. Pogosov V V, Kurbatsky V P J. Exp. Theor. Phys. 92 (2) 304 (2001)
  61. Fuks D, Dorfman S et al Int J of Quantum Chemistry 85 (4-5) 354 (2001)
  62. Shvets V T High Temperature 39 (1) 49 (2001)
  63. Pélissier J L, Wetta N Physica A: Statistical Mechanics and its Applications 289 (3-4) 459 (2001)
  64. Gabovich A M, Voitenko A I et al Supercond. Sci. Technol. 14 (4) R1 (2001)
  65. Gornostyrev Yu N, Katsnelson M I et al Phys. Rev. B 62 (12) 7802 (2000)
  66. Fedorov A S Phys. Solid State 41 (2) 213 (1999)
  67. Karakozov A E, Maksimov E G J. Exp. Theor. Phys. 88 (5) 987 (1999)
  68. Revinskii A F Semiconductors 32 (9) 917 (1998)
  69. Colakoğlu K, Colak H et al Nouv Cim D 20 (12) 1863 (1998)
  70. Zhernov A P J. Exp. Theor. Phys. 87 (6) 1172 (1998)
  71. Strauch D, Pavone P et al Advances in Solid State Physics / Festkörperprobleme Chapter 7 (1998) p. 99
  72. 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
  73. Katsnelson M I, Sigalas M et al Philosophical Magazine B 75 (3) 407 (1997)
  74. Katsnelson M I, Naumov I I et al Philosophical Magazine B 75 (3) 389 (1997)
  75. Krivolaz M A Diffuse Scattering of X-Rays and Neutrons by Fluctuations Chapter 2 (1996) p. 51
  76. Krivoglaz M A X-Ray and Neutron Diffraction in Nonideal Crystals Chapter 2 (1996) p. 75
  77. Ponedilok G V, Savenko V P Physica Status Solidi (b) 184 (2) 433 (1994)
  78. Khodel V A, Shaginyan V R, Khodel V V Physics Reports 249 (1-2) 1 (1994)
  79. Katsnelson M I, Naumov I I, Trefilov A V Phase Transitions 49 (1-3) 143 (1994)
  80. Shvets V T Materials Science and Engineering: B 26 (2-3) 141 (1994)
  81. Okoye C M I, Pal S Physica B: Condensed Matter 183 (3) 279 (1993)
  82. Malozovsky Y M, Fan J D Physics Letters A 184 (1) 136 (1993)
  83. Kovalenko N P, Krasny Yu P, Mikho V V Journal of Molecular Liquids 58 45 (1993)
  84. Kodess B N, Rakhmanov S Ya Solid State Communications 87 (7) 631 (1993)
  85. Aronov I E, Fal’ko V L Physics Reports 221 (2-3) 81 (1992)
  86. Gornostyrev Yu N, Katsnelson M I et al Physica Status Solidi (b) 164 (1) 185 (1991)
  87. Idiodi J O A Physica Status Solidi (b) 166 (2) 369 (1991)
  88. Ebina K, Kaburagi M Surface Science 242 (1-3) 124 (1991)
  89. Sandalov I S, Filatjev V I Physica B: Condensed Matter 162 (2) 139 (1990)
  90. Fomichev S V, Katsnelson M I et al Physica Status Solidi (b) 161 (1) 153 (1990)
  91. Kovalenko N P, Krasny Yu P Physica B: Condensed Matter 162 (2) 115 (1990)
  92. Greenberg B A, Katsnelson M I et al Physica Status Solidi (b) 158 (2) 441 (1990)
  93. EBINA Kuniyoshi, KABURAGI Makoto Strongly Coupled Plasma Physics (1990) p. 397
  94. Mohapatra M, Tolpadi S Pramana - J Phys 35 (2) 159 (1990)
  95. EBINA Kuniyoshi, KABURAGI Makoto Strongly Coupled Plasma Physics (1990) p. 397
  96. Vonsovsky S V, Katsnelson M I Springer Series in Solid-State Sciences Vol. Quantum Solid-State PhysicsMany-Particle Effects73 Chapter 5 (1989) p. 396
  97. Vaks V G, Katsnelson M I et al J. Phys.: Condens. Matter 1 (32) 5319 (1989)
  98. 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
  99. Tyuterev V G Soviet Physics Journal 32 (6) 479 (1989)
  100. Ebina K, Miyagi H Physics Letters A 142 (4-5) 237 (1989)
  101. Vaks V G, Samolyuk G D, Trefilov A V Physics Letters A 127 (1) 37 (1988)
  102. Vaks V G, Trefilov A V J. Phys. F: Met. Phys. 18 (2) 213 (1988)
  103. Prakash D, Upadhyaya J C Physica Status Solidi (b) 148 (2) (1988)
  104. Zhernov A P, Kulagina T N Physica Status Solidi (b) 147 (1) 149 (1988)
  105. Prakash D, Upadhyaya J C Journal of Physics and Chemistry of Solids 49 (1) 91 (1988)
  106. Kovalenko N P, Krasnyi Yu P et al Soviet Journal of Low Temperature Physics 13 (9) 535 (1987)
  107. Orlov V G Journal of Magnetism and Magnetic Materials 61 (3) 337 (1986)
  108. Harrison R J Condensed Matter Theories Chapter 21 (1986) p. 207
  109. Bogdanov V I, Fuks D L Physica Status Solidi (b) 131 (2) 495 (1985)
  110. Grechnev G E Soviet Journal of Low Temperature Physics 11 (1) 55 (1985)
  111. Moraitis G, Khalifeh J, Demangeat C Journal of the Less Common Metals 101 203 (1984)
  112. Reznik I M, Tolpygo K B J Struct Chem 24 (4) 501 (1984)
  113. Dementyev V M, Kozlov E V, Kolodeznaya S F MRS Proc. 39 (1984)
  114. Ebeling W, Fortov V E et al Experientia Supplementum Vol. Transport Properties of Dense PlasmasReferences47 Chapter 7 (1984) p. 168
  115. Fielek B L J. Phys. F: Met. Phys. 14 (1) 61 (1984)
  116. 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
  117. Kovalenko N P, Kuzmina L M Physica Status Solidi (b) 124 (2) 537 (1984)
  118. Kapitonov V S, Popov V N J Math Sci 23 (4) 2421 (1983)
  119. John W Ergebnisse in der Elektronentheorie der Metalle Chapter 10 (1983) p. 375
  120. Bratkovsky A M, Vaks V G, Trefilov A V J. Phys. F: Met. Phys. 13 (12) 2517 (1983)
  121. Ebina K Progress of Theoretical Physics 69 (6) 1686 (1983)
  122. Karakhtanov V S, Maksimov E G Solid State Communications 48 (1) 85 (1983)
  123. Stupfel B, Gautier F J. Phys. F: Met. Phys. 12 (8) 1577 (1982)
  124. 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
  125. Ebina K Progress of Theoretical Physics 67 (2) 475 (1982)
  126. Bratkovsky A M, Vaks V G et al J. Phys. F: Met. Phys. 12 (7) 1293 (1982)
  127. Christoph V, Kuzemsky A L, Frauenheim T Crystalline Electric Field Effects in f-Electron Magnetism Chapter 24 (1982) p. 219
  128. 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
  129. Ebina K, Nagara H, Miyagi H Progress of Theoretical Physics 68 (3) 781 (1982)
  130. Smirnov V A, Kiselev Yu V, Kozlov � V Soviet Physics Journal 25 (3) 213 (1982)
  131. Zarochentsev E V, Teplov S V Physica Status Solidi (b) 113 (1) 259 (1982)
  132. Kozlov � V, Dement’ev V M Soviet Physics Journal 25 (12) 1122 (1982)
  133. Bogdanov V I, Ruban A V, Fuks D L Physica Status Solidi (b) 110 (2) 431 (1982)
  134. Khwaja F A, Razmi M S K Physica Status Solidi (b) 104 (2) 727 (1981)
  135. Augst G R Physica Status Solidi (b) 104 (1) 357 (1981)
  136. Fielek B L J. Phys. F: Met. Phys. 11 (10) 2021 (1981)
  137. Vaks V G, Kravchuk S P, Trefilov A V J. Phys. F: Met. Phys. 10 (11) 2325 (1980)
  138. Nakamura T, Nagara H, Miyagi H Progress of Theoretical Physics 63 (2) 368 (1980)
  139. Shvets V T Theor Math Phys 42 (2) 178 (1980)
  140. Zarochentsev E V, Teplov S V Solid State Communications 33 (11) 1107 (1980)
  141. Vaks V G, Zein N E et al Physica Status Solidi (b) 96 (2) 857 (1979)
  142. Postnikov V S, Postnikov V V, Fedorov V M Physica Status Solidi (b) 92 (1) 347 (1979)
  143. Katsnelson A A, Silonov V M, Khwaja F A Physica Status Solidi (b) 91 (1) 11 (1979)
  144. Fielek B L J. Phys. F: Met. Phys. 8 (4) 577 (1978)
  145. Kagan Yu, Pushkarev V V, Holas A Solid State Communications 27 (4) 335 (1978)
  146. Chakravarty S, Ashcroft N W Phys. Rev. B 18 (9) 4588 (1978)
  147. Hammerberg J Journal of Physics and Chemistry of Solids 39 (6) 617 (1978)
  148. Vaks V G, Zarochentsev E V et al Physica Status Solidi (b) 85 (1) 63 (1978)
  149. Zarochentsev E V, Teplov S V, Safronov V P Soviet Journal of Low Temperature Physics 4 (3) 187 (1978)
  150. Vaks V G, Zarochentsev E V et al Physica Status Solidi (b) 85 (2) 749 (1978)
  151. Kaner É A, Chebotarev L V, Uvimana É Soviet Journal of Low Temperature Physics 4 (9) 574 (1978)
  152. Bigun G I Theor Math Phys 37 (1) 915 (1978)
  153. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 80 (2) 713 (1977)
  154. Zarochentsev E V, Safronov V P, Trefilov A V Soviet Journal of Low Temperature Physics 3 (2) 100 (1977)
  155. Lazarev B G, Kaner E A, Chebotarev L V Soviet Journal of Low Temperature Physics 3 (6) 394 (1977)
  156. Schulz H, Hüfner S Solid State Communications 20 (9) 827 (1976)
  157. Stepanov V G, Kozhevnikov V F Journal of Engineering Physics 30 (5) 567 (1976)
  158. Cusack S, March N H et al J. Phys. F: Met. Phys. 6 (5) 749 (1976)
  159. Solt G, Kollár J Physica Status Solidi (b) 71 (2) 769 (1975)
  160. Solt G, Kollár J Solid State Communications 16 (4) 453 (1975)
  161. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 66 (1) 349 (1974)
  162. Belenkii A Ya, Krasko G L Physica Status Solidi (b) 65 (1) 73 (1974)
  163. Krasko G L, Makhnovetskii A B Physica Status Solidi (b) 65 (2) 869 (1974)

© Успехи физических наук, 1918–2026
Электронная почта: ufn@ufn.ru Телефоны и адреса редакции О журнале Пользовательское соглашение