RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2008

 / 

June

←  →

Reviews of topical problems


On nonadiabatic effects in phonon spectra of metals

 a,  b
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b Vereshchagin Institute for High Pressure Physics, Russian Academy of Sciences, Kaluzhskoe shosse 14, Troitsk, Moscow, 108840, Russian Federation

Experimental and theoretical research on nonadiabatic effects in metals is briefly reviewed. It is shown that these effects are most manifest in optical phonon spectra at small wave vectors q satisfying the condition qvF < ω0(q), where vF is the electron Fermi velocity, and ω0(q) is the phonon frequency. Various theoretical approaches to calculating nonadiabatic effects are examined. Fröhlich’s phenomenological field-theoretical model, the most widely used in such calculations, is discussed in detail, some aspects of its application are considered, and its efficiency as a tool for studying nonadiabatic effects is demonstrated.

Fulltext pdf (278 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n06ABEH006462
PACS: 71.15.Mb, 74.20.−z, 74.72.−h (all)
DOI: 10.1070/PU2008v051n06ABEH006462
URL: https://ufn.ru/en/articles/2008/6/a/
000260064600001
2-s2.0-53849110876
2008PhyU...51..535M
Citation: Maksimov E G, Karakozov A E "On nonadiabatic effects in phonon spectra of metals" Phys. Usp. 51 535–549 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Максимов Е Г, Каракозов А Е «О неадиабатических эффектах в фононных спектрах металлов» УФН 178 561–576 (2008); DOI: 10.3367/UFNr.0178.200806a.0561

References (59) ↓ Cited by (13) Similar articles (20)

  1. Born M, Oppenheimer R Ann. Phys. (Leipzig) 84 457 (1927)
  2. Born M, Huang K Dynamical Theory Of Crystal Lattices (Oxford: Clarendon Press, 1954); Born M, Khuan Kun’ Dinamicheskaya Teoriya Kristallicheskikh Reshetok (M.: IL, 1958)
  3. Chester G V Adv. Phys. 10 357 (1961)
  4. Engelsberg S, Schrieffer J R Phys. Rev. 131 993 (1963)
  5. Cardona M, Ipatova I P In Elementary Excitations In Solids (Eds J L Birman, S Sébenne, R F Wallis) (Amsterdam: North-Holland, 1992), Ch. 13
  6. Ponosov Yu S Fiz. Tverd. Tela 26 815 (1984); Ponosov Yu S Sov. Phys. Solid State 26 491 (1984)
  7. Bolotin G A, Ponosov Yu S Fiz. Tverd. Tela 27 2636 (1985); Bolotin G A, Ponosov Yu S Sov. Phys. Solid State 27 1581 (1985)
  8. Ponosov Yu S Phys. Status Solidi B 208 257 (1998)
  9. Maksimov E G, Shulga S V Solid State Commun. 97 553 (1996)
  10. Axe J D, Shirane G Phys. Rev. B 8 1965 (1973)
  11. Schuster H G Solid State Commun. 13 1559 (1973)
  12. Sooryakumar R, Klein M V Phys. Rev. Lett. 45 660 (1980)
  13. Kawano H Phys. Rev. Lett. 77 4628 (1996)
  14. Migdal A B Zh. Eksp. Teor. Fiz. 34 1438 (1958); Migdal A B Sov. Phys. JETP 7 996 (1958)
  15. Brovman E G, Kagan Yu M ZhETF 52 557 (1967); Brovman E G, Kagan Yu M Sov. Phys. JETP 25 365 (1967)
  16. Brovman E G, Kagan Yu M Usp. Fiz. Nauk 112 369 (1974); Brovman E G, Kagan Yu M Sov. Phys. Usp. 17 125 (1974)
  17. Geilikman B T Usp. Fiz. Nauk 115 403 (1975); Geilikman B T Sov. Phys. Usp. 18 190 (1975)
  18. Reizer M Phys. Rev. B 61 40 (2000)
  19. Falkovsky L A Zh. Eksp. Teor. Fiz. 124 886 (2003); Falkovsky L A JETP 97 794 (2003)
  20. Fal’kovskii L A Usp. Fiz. Nauk 174 259 (2004); Falkovsky L A Phys. Usp. 47 249 (2004)
  21. Maksimov E G Zh. Eksp. Teor. Fiz. 69 2236 (1975); Maksimov E G Sov. Phys. JETP 42 1138 (1975)
  22. Karakozov A E, Maksimov E G Zh. Eksp. Teor. Fiz. 115 1799 (1999); Karakozov A E, Maksimov E G JETP 88 987 (1999)
  23. Sinha S K In Dynamical Properties Of Solids Vol. 3 (Eds G K Horton, A A Maradudin) (Amsterdam: North-Holland, 1980) p. 3
  24. Sham L J In Dynamical Properties Of Solids Vol. 1 (Eds G K Horton, A A Maradudin) (Amsterdam: North-Holland, 1974) p. 301
  25. Savrasov S Yu, Maksimov E G Usp. Fiz. Nauk 165 773 (1995); Savrasov S Yu, Maksimov E G Phys. Usp. 38 737 (1995)
  26. Baroni S Rev. Mod. Phys. 73 515 (2001)
  27. Abrikosov A A, Gor’kov L P, Dzyaloshinskii I E Metody Kvantovoi Teorii Polya v Statisticheskoi Fizike (M.: Fizmatgiz, 1962); Translated into English, Abrikosov A A, Gorkov L P, Dzyaloshinski I E Methods Of Quantum Field Theory In Statistical Physics (New York: Dover Publ., 1975)
  28. Gurevich V A, Larkin A I, Firsov Yu A Fiz. Tverd. Tela 4 185 (1962); Gurevich V A, Larkin A I, Firsov Yu A Sov. Phys. Solid State 4 131 (1962)
  29. Ipatova I P, Subashiev A V Zh. Eksp. Teor. Fiz. 66 722 (1974); Ipatova I P, Subashiev A V Sov. Phys. JETP 39 349 (1974)
  30. Alexandrov A S, Schrieffer J R Phys. Rev. B 56 13731 (1997)
  31. Pintschovious L, Reichardt W Neutron Scattering In Layered Copper-Oxide Superconductors (Physics and Chemistry of Materials with Low-Dimensional Structures, Vol. 20, Ed. A Furrer) (Dordrecht: Kluwer Acad., 1998)
  32. Zeyher R, Zwicknagl G Z. Phys. B 78 175 (1990)
  33. Eliashberg G M Zh. Eksp. Teor. Fiz. 38 966 (1960); Eliashberg G M Sov. Phys. JETP 11 696 (1960)
  34. Allen P B Phys. Rev. B 13 1416 (1976)
  35. Schrieffer J Theory Of Superconductivity (New York: W.A. Benjamin, 1964); Shriffer Dzh Teoriya Sverkhprovodimosti (M.: Nauka, 1970)
  36. Prange R E Phys. Rev. 129 2495 (1963)
  37. Vaks V G, Galitskii V M, Larkin A I Zh. Eksp. Teor. Fiz. 41 1655 (1961); Vaks V G, Galitskii V M, Larkin A I Sov. Phys. JETP 14 1177 (1961)
  38. Littlewood P B, Varma C M Phys. Rev. B 26 4883 (1982)
  39. Maki K, Tsuneto T Prog. Theor. Phys. 28 163 (1962)
  40. Devereaux T P Phys. Rev. B 47 5230 (1993)
  41. Devereaux T P Phys. Rev. B 50 10287 (1994)
  42. Zeyher R, Zwicknagl G Solid State Commun. 66 617 (1988)
  43. Thomsen C In Light Scattering In Solids Vol. 6 (Eds M Cardona) (Heidelberg: Springer-Verlag, 1995) p. 285
  44. Balseiro S A, Falikov L M Phys. Rev. Lett. 45 662 (1980)
  45. Stassis S Phys. Rev. B 55 R8678 (1997)
  46. Bullock M Phys. Rev. B 57 7916 (1998)
  47. Allen P B Phys. Rev. B 56 5552 (1997)
  48. Kee H-Y, Varma C M Phys. Rev. Lett. 79 4250 (1997)
  49. Rhee J Y, Wang X, Harmon B N Phys. Rev. B 51 15585 (1995)
  50. Kopaev Yu V Trudy FIAN 86 3 (1975)
  51. Ramakrishnan T V, Varma C M Phys. Rev. B 24 137 (1981)
  52. Marsiglio F Phys. Rev. B 47 5419 (1993)
  53. Karakozov A E, Maksimov E G, Mikhailovskii A B Zh. Eksp. Teor. Fiz. 102 132 (1992); Karakozov A E, Maksimov E G, Mikhailovskii A B JETP 75 70 (1992)
  54. Maksimov E G, Savrasov S Yu Usp. Fiz. Nauk 160 (9) 155 (1990); Maksimov E G, Savrasov S Yu Sov. Phys. Usp. 33 763 (1990)
  55. Maksimov E G, Savrasov D Yu, Savrasov S Yu Usp. Fiz. Nauk 167 353 (1997); Maksimov E G, Savrasov D Yu, Savrasov S Yu Phys. Usp. 40 337 (1997)
  56. Allen P B In Dynamical Properties Of Solids Vol. 3 (Eds G K Horton, A A Maradudin) (Amsterdam: North-Holland, 1980) p. 108
  57. Gorobchenko V D, Maksimov E G Zh. Eksp. Teor. Fiz. 81 1847 (1981); Gorobchenko V D, Maksimov E G Sov. Phys. JETP 54 978 (1981)
  58. Ginzburg V L, Kirzhnits D A (Red.) Problema Vysokotemperaturnoi Sverkhprovodimosti (M.: Nauka, 1977); Translated into English, Ginzburg V L, Kirzhnits D A (Eds) High-Temperature Superconductivity (New York: Consultants Bureau, 1982)
  59. Fal’kovskii L A Zh. Eksp. Teor. Fiz. 122 411 (2002); Falkovsky L A JETP 95 354 (2002)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions