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

Issues

 / 

1997

 / 

April

←  →

Reviews of topical problems


The electron-phonon interaction and the physical properties of metals

 a,  a,  b
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b Max-Planck Institut für Festkörperforschung, Stuttgart, Germany

Theoretical work dealing with the electron-phonon interaction (EPI) and its effects on the physical properties of metals is reviewed. The many-body approach and that using Landau’s Fermi-liquid theory are briefly described and their adequacy is demonstrated for low values of the adiabaticity parameter (ωD/εF)(1/2), where ωD is the characteristic photon frequency, and εF is the Fermi energy. Density functional theory is applied to EPI calculations are outlined, and for a number of simple and transition metals, the results of calculations for EPI spectral densities and EPI-dependent physical properties are presented. The potentialities and the range of validity for EPI applications of the density functional method are discussed.

Fulltext pdf (399 KB)
Fulltext is also available at DOI: 10.1070/PU1997v040n04ABEH000226
PACS: 63.20.Kr, 71.10.+x, 71.20.Cf, 71.38.+i
DOI: 10.1070/PU1997v040n04ABEH000226
URL: https://ufn.ru/en/articles/1997/4/a/
A1997XB47600001
Citation: Maksimov E G, Savrasov D Yu, Savrasov S Yu "The electron-phonon interaction and the physical properties of metals" Phys. Usp. 40 337–358 (1997)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Максимов Е Г, Саврасов Д Ю, Саврасов С Ю «Электрон-фононное взаимодействие и физические свойства металлов» УФН 167 353–376 (1997); DOI: 10.3367/UFNr.0167.199704a.0353

References (77) ↓ Cited by (59) Similar articles (20)

  1. Scalapino D J, in Superconductivity Vol. 1 (Ed. R D Parks, New York: Dekker, 1969) p. 449
  2. Rainer D, in Progress in Low-Temperature Physics (Ed. D F Brewer, Amsterdam: Elsevier, 1986) p. 371
  3. Allen P B, Mitrovic B, in Solid State Physics Vol. 37 (Eds F Seitz, D Turnbull, H Ehrenreich, New York: Academic Press, 1982) p. 1
  4. Dolgov O V, Maksimov E G Tr. Fiz. Inst. Akad. Nauk SSSR 148 3 (1983)
  5. McMillan W L, Rowell J M, in Superconductivity Vol. 1 (Ed. R D Parks, New York: Dekker, 1969) p. 561
  6. Gaspari G D, Gyorffy B L Phys. Rev. Let. 28 801 (1972)
  7. Hohenberg P, Kohn W Phys. Rev. 136 B864 (1964)
  8. Kohn W, Sham L J Phys. Rev. 140 A1133 (1965)
  9. Lundqvist S, March S N (Eds) Theory of the Inhomogeneous Electron Gas (New York: Plenum, 1983) [Translated into Russian (Moscow: Mir, 1987)]
  10. Savrasov S Yu, Maksimov E G Usp. Fiz. Nauk 165 773 (1995) [Phys. Usp. 38 737 (1995)]
  11. Gross E K U, Dobson J F, Petersilka M, in Density Functional Theory (Topics in Current Chemistry, Ed. R F Nalewaiski, Berlin: Springer-Verlag, 1996) p. 71
  12. Abrikosov A A, Gor’kov L P, Dzyaloshinskiî I E Metody Kvantovoî Teorii Polya v Statisticheskoî Fizike (Methods of Quantum Field Theory in Statistical Physics, Moscow: Fizmatgiz, 1962) [Translated into English (Englewood Cliffs, NJ: Prentice-Hall, 1963)]
  13. Migdal A B Zh. Eksp. Teor. Fiz. 34 1438 (1958) [Sov. Phys. JETP 34 996 (1958)]
  14. Eliashberg G M Zh. Eksp. Teor. Fiz. 38 966 (1960); 39 1437 (1960) [Sov. Phys. JETP 11 696 (1960); 12 1000 (1961)]
  15. Allen P B, in Dynamical Properties of Solids Vol. 3 (Eds G K Horton, A A Maradudin, Amsterdam: North-Holland, 1980) p. 95
  16. Allen P B Phys. Rev. B 6 2577 (1972)
  17. Maksimov E G, Savrasov S Yu Usp. Fiz. Nauk 160 155 (1990) [Sov. Phys. Usp. (1990)]
  18. Mahan G D Phys. Rep. 145 251 (1987)
  19. Allen P B Phys. Rev. B 3 305 (1971)
  20. Allen P B Commun. Cond. Math. Phys. 15 327 (1992)
  21. Dolgov O V, Shulga S V J. Supercond. 8 611 (1995)
  22. Maksimov E G Zh. Eksp. Teor. Fiz. 69 2236 (1975) [Sov. Phys. JETP (1975)]
  23. Landau L D Zh. Eksp. Teor. Fiz. 34 262 (1958); 35 97 (1958) [Sov. Phys. JETP 34 182 (1958); 35 70 (1959)]
  24. Silin V P Zh. Eksp. Teor. Fiz. 38 977 (1960) [Sov. Phys. JETP 11 703 (1960)]
  25. Kantorovich V Zh. Eksp. Teor. Fiz. 45 1638 (1963) [Sov. Phys. JETP 18 1125 (1964)]
  26. Luttinger J M, Ward J C Phys. Rev. 118 1417 (1960)
  27. Luttinger J M Phys. Rev. 119 1153 (1960)
  28. Yasuhara H, Ousaka Y Int. J. Mod. Phys. B 6 3089 (1992)
  29. Eliashberg G M Physica A 200 95 (1993)
  30. Eliashberg G M, von der Linden W Pis’ma Zh. Eksp. Teor. Fiz. 59 413 (1994) [JETP Lett. 59 441 (1994)]
  31. Nozieres P Theory of Interacting Fermi Systems (New York, W A: Benjamin Inc., 1964)
  32. Jones R O, Gunnarsson O Rev. Mod. Phys. 61 689 (1989)
  33. Sternheimer R M Phys. Rev. 96 951 (1954); 107 1565 (1957)
  34. Zeîn N E Fiz. Tverd. Tela (Leningrad) 26 3028 (1984) [Sov. Phys. Solid State 26 1825 (1984)]
  35. Baroni S, Giannozzi P, Testa A Phys. Rev. Lett. 58 1861 (1987)
  36. Klein B M, Pickett W F, in Superconductivity in d- and f-Band Metals (Eds W Buckel, W Weber, Karlsruhe: Kernforschungszentrum, 1982) p. 447
  37. Butler W H, in Physics of Transition Metals (New York: AIP, 1980) p. 505
  38. Schönhammer K, Gunnarsson O Phys. Rev. B 37 3128 (1988)
  39. Savrasov S Yu Phys. Rev. Lett. 69 2819 (1992)
  40. Andersen O K Phys. Rev. B 12 3060 (1975)
  41. Savrasov S Y, Savrasov D Y Phys. Rev. B 46 12181 (1992)
  42. Savrasov S Y, Savrasov D Y, Andersen O K Phys. Rev. Lett. 72 372 (1994)
  43. Savrasov S Y, Savrasov D Y Phys. Rev. B 54 16487 (1996)
  44. Numerical Data and Functional Relationship in Science and Technology, Landolt-Börnstein New Series, Group III, Crystal and Solid State Physics Vol. 13a (Ed. K-H Hellwege, Berlin, New York: Springer-Verlag, 1981); Vol. 15a (Ed. K-H Hellwege, 1982); Vol. 15c (Ed. O Madelung, 1982)
  45. Jepsen O, Andersen O K Phys. Rev. B 29 5965 (1984)
  46. Butler W H, Smith H G, Wakabayashi N Phys. Rev. Lett. 39 1004 (1977); Butler W H, Pinski F J, Allen P B Phys. Rev. B 19 3708 (1979)
  47. Harmon B N, Sinha S K Phys. Rev. B 16 3919 (1977); Glѕtzel B, Rainer D, Schober H R Z. Phys. B 35 317 (1979); Peter M et al., in Superconductivity in d- and f-Band Metals (Eds W Buckel, W Weber, Karlsruhe: Kernforschungszentrum, 1982) p. 515
  48. Winter H J. Phys. F 11 2283 (1981)
  49. Dacorogna M M, Cohen M L, Lam P K Phys. Rev. Lett. 55 837 (1985)
  50. Wolf E L Principles of Electronic Tunnelling Spectroscopy (Oxford: Oxford University Press, 1985)
  51. de Gironcoli S Phys. Rev. B 51 6773 (1995)
  52. McMillan W L Phys. Rev. 167 331 (1968)
  53. Shen L Y Phys. Rev. Lett. 24 1104 (1970)
  54. Arnold G B, Zasadzinski J, Wolf E L Phys. Lett. A 69 136 (1978); Wolf E L et al. J. Low Temp. Phys. 40 19 (1980)
  55. Zasadzinski J et al. Phys. Rev. B 25 1622 (1982)
  56. Geschneidner K A, in Solid State Physics Vol. 16 (Eds H Ehrenreich, F Seitz, D Turnbull, New York: Academic Press, 1964) p. 275
  57. Radebaugh R, Keesom P H Phys. Rev. 149 217 (1966)
  58. Bostock J et al. Phys. Rev. Lett. 36 603 (1976)
  59. Gärtner K, Hahn A Z. Naturforsch. 31A 861 (1976)
  60. Robinson B, Geballe T H, Rowel J W, in Superconductivity in d- and f-Band Metals (New York: AIP Conf., 1972) p. 381
  61. Crabtree G W et al. Phys. Rev. Lett. 42 390 (1979)
  62. Wolf E L Principles of Electronic Tunnelling Spectroscopy (Oxford: Oxford University Press, 1985) p. 263
  63. Pinski F J, Butler W H Phys. Rev. B 19 6010 (1979)
  64. Pinski F J, Allen P B, Butler W H Phys. Rev. B 23 5080 (1981)
  65. Grespi V H, Cohen M L Solid State Commun. 81 187 (1992)
  66. Motulevich G P Usp. Fiz. Nauk 97 211 (1969) [Sov. Phys. Usp.]
  67. Rotter L D et al. Phys. Rev. Lett. 67 2741 (1991); Cooper S L et al. Phys. Rev. B 4 2549 (1992)
  68. Schmitt-Rink S, Varma C M, Ruckenstein A E Phys. Rev. Lett. 60 2793 (1988)
  69. Shulga S V, Dolgov O V, Maksimov E G Physica C 178 317 (1990)
  70. Maksimov E G et al. (in press)
  71. Rietschel H, Winter H Phys. Rev. Lett. 43 1256 (1979)
  72. Rainer D, in Progress in Low-Temperature Physics Vol. X (Ed. D E Brewer, Amsterdam: Elsevier, 1986) p. 371
  73. Kim J H et al. Phys. Rev. B 44 5148 (1991)
  74. Kim J H, Tesanovic Z Phys. Rev. Lett. 71 4218 (1993)
  75. Grilli M, Castellani C Phys. Rev. B 50 16880 (1994)
  76. Kulic M, Zeyher R Phys. Rev. B 49 4395 (1994)
  77. Savrasov S Yu, Andersen O K Phys. Rev. Lett. 77 4430 (1996)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions