Skip to main content

Theories for Many-Body Problems in Strongly Coupled Electron-Phonon Systems

  • Chapter
Electronic Conduction in Oxides

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 94))

  • 179 Accesses

Abstract

The main objective of solid state theory is to clarify the microscopic origins of various macroscopic properties of solids, such as electric, magnetic and optical properties, which change from one crystal to the other. The difference of these macroscopic properties between crystals mainly originates from the difference of the microscopic nature of electrons in each crystal. Especially, it mainly comes from the outer electrons, which are in the outermost orbitals of the atoms or molecules constituting each crystal. Consequently, one of the most important problems in the solid state theory is to find the relation between the microscopic nature of the outermost electrons and the macroscopic properties of solids.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y. Toyozawa: International School of Physics “Enrico Fermi”, Highlights of CondensedMatter Theory, ed. by F. Bassani, F. Fumi, M. Tosi (North-Holland, Amsterdam 1985) p.798

    Google Scholar 

  2. R. Peierls: Quantum Theory of Solids (Oxford University Press, Oxford 1955) p.108

    MATH  Google Scholar 

  3. B. Johansson, K. Berggren: Phys. Rev. 181, 855 (1969)

    Article  ADS  Google Scholar 

  4. J. Schrieffer: Theory of Superconductivity (Benjamin, New York 1964)

    Google Scholar 

  5. F. Gautier: Magnetism of Metals and Alloys, ed. by M. Cyrot (North-Holland, Amsterdam 1982) p.1

    Google Scholar 

  6. T. Moriya: Spin Fluctuations in Itinerant Electron Magnetism, Springer Ser. Solid-State Sci., Vol.56 (Springer, Berlin, Heidelberg 1985)

    Google Scholar 

  7. E. Goryachev, E. Kuzmin: Soy. Phys. ¡ª JETP 64, 531 (1986)

    Google Scholar 

  8. W. McMillan: Phys. Rev. 167, 331 (1968)

    Article  ADS  Google Scholar 

  9. H. Fröhlich: In Polarons and Excitons, ed. by C. Kuper, G. Whitfield (Oliver and Boyd, Edinburgh 1963) p.1

    Google Scholar 

  10. Y. Shinozuka, Y. Toyozawa: J. Phys. Soc. Jpn. 46, 505 (1989)

    Article  ADS  Google Scholar 

  11. Y. Toyozawa: In Polarons and Excitons, ed. by C. Kuper, G. Whitfield (Oliver and Boyd, Edinburgh 1963) p.211

    Google Scholar 

  12. K. Cho, Y. Toyozawa: J. Phys. Soc. Jpn. 30, 155 (1971)

    Article  Google Scholar 

  13. A. Sumi, Y. Toyozawa: J. Phys. Soc. Jpn. 35 137 (1973)

    Article  ADS  Google Scholar 

  14. M. Matsuura: Solid State Commun. 44, 1471 (1982)

    Article  ADS  Google Scholar 

  15. I. Kuusmann, P. Liblik, C. Lushchik: Soy. Phys. JETP 21, 72 (1975)

    ADS  Google Scholar 

  16. A. Matsui, K. Mizuno, N. Tamai, I. Yamazaki: Chem. Phys. 113, 111 (1987)

    Article  Google Scholar 

  17. K. Nasu: J. Lumin. 38, 90 (1987)

    Article  Google Scholar 

  18. E. Rashba: J. Mol. Electron. 4, 149 (1988)

    Google Scholar 

  19. V. Vinetskii: Soy. Phys. ¡ª JETP 13, 1023 (1961)

    Google Scholar 

  20. C. Schlenker: Physics of Disordered Materials, ed. by D. Adler, H. Fritzsche, S. Ovshinsky (Plenum, New York 1985) p.369

    Google Scholar 

  21. M. Onoda, H. Nagasawa: J. Phys. Soc. Jpn. 52 223 (1983)

    Article  ADS  Google Scholar 

  22. J. Scott, P. Pfluger, M. Krounbi, G. Street: Phys. Rev. B 28, 2140 (1983)

    Google Scholar 

  23. P. Day: “Mixed Valence Chemistry and Metal Chain Compounds”, in Low-Dimensional Cooperative Phenomena, ed. by HJ. Keller (Plenum, New York 1974) p.191

    Google Scholar 

  24. M. Yamashita, Y. Nonaka, S. Kida, Y. Hamaue, R. Aoki: Inorg. Chim. Acta 52, 43 (1981)

    Article  Google Scholar 

  25. M. Yamashita, K. Toriumi, T. Ito: Acta Crystallogr. C 41 876 (1985)

    Google Scholar 

  26. M. Yamashita, N. Matsumoto, S. Kida: Inorg. Chim. Acta 31 L381 (1978)

    Article  Google Scholar 

  27. R. Aoki, Y. Hamaue, S. Kida, M. Yamashita, T. Takemura, Y. Furuta, A. Kawamori: Mol. Cryst. Liq. Cryst. 81 301 (1982)

    Article  Google Scholar 

  28. K. Toriumi, Y. Wada, T. Mitani, S. Bando, M. Yamashita, Y. Fujii: J. Am. Chem. Soc. 111 2341 (1989)

    Article  Google Scholar 

  29. S. Roth, H. Bleier: Adv. Phys. 36 385 (1987)

    Article  ADS  Google Scholar 

  30. A. Heeger, S. Kivelson, J. Schrieffer, W. Su: Rev. Mod. Phys. 60 781 (1988)

    Article  ADS  Google Scholar 

  31. K. Nasu, Y. Toyozawa: J. Phys. Soc. Jpn. 51 2098 (1982)

    Article  ADS  Google Scholar 

  32. K. Nasu, Y. Toyozawa: J. Phys. Soc. Jpn. 51 3111 (1982)

    Article  ADS  Google Scholar 

  33. J. Takimoto, Y. Toyozawa: J. Phys. Soc. Jpn. 52, 4331 (1983)

    Article  ADS  Google Scholar 

  34. Y. Wada, T. Mitani, M. Yamashita, T. Koda: J. Phys. Soc. Jpn. 54, 3143 (1985)

    Article  ADS  Google Scholar 

  35. H. Tanino, K. Kobayashi: J. Phys. Soc. Jpn. 52, 1446 (1983)

    Article  ADS  Google Scholar 

  36. M. Ueta, H. Kanzaki, K. Kobayashi, Y. Toyozawa, H. Hanamura: Excitonic Processes in Solids, Springer Ser. Solid-State Phys., Vol.60 (Springer, Berlin, Heidelberg 1986) p. 476

    Google Scholar 

  37. M. Tanaka, S. Kurita, Y. Okada, T. Kojima, Y. Yamada: Chem. Phys. Solids 96, 348 (1985)

    Google Scholar 

  38. K. Nasu: J. Phys. Soc. Jpn. 52, 3865 (1983)

    Article  ADS  Google Scholar 

  39. K. Nasu: J. Phys. Soc. Jpn. 53, 302 (1984)

    Article  ADS  Google Scholar 

  40. K. Nasu: J. Phys. Soc. Jpn. 53, 427 (1984)

    Article  ADS  Google Scholar 

  41. Y. Wada, K. Era, M. Yamashita: Solid State Commun. 67 953 (1988)

    Google Scholar 

  42. H. Tanino, W. Riihle, K. Takahashi: Phys. Rev. B 38 12716 (1988)

    Article  ADS  Google Scholar 

  43. S. Kurita, M. Haruki, K. Miyagawa: J. Phys. Soc. Jpn. 57 1789 (1988)

    Article  ADS  Google Scholar 

  44. S. Kurita, M. Haruki: Synth. Met. 29 F129 (1989)

    Article  Google Scholar 

  45. N. Kuroda, M. Sakai, Y. Nishina, M. Tanaka, S. Kurita: Phys. Rev. Lett. 58, 2122 (1987)

    Article  ADS  Google Scholar 

  46. D. Baeriswyl, A.R. Bishop: J. Phys. C 21 339 (1988)

    Article  ADS  Google Scholar 

  47. Y. Onodera: J. Phys. Soc. Jpn. 56 250 (1987)

    Article  ADS  Google Scholar 

  48. A. Mishima, K. Nasu: Phys. Rev. B 39 5758 (1989)

    Article  ADS  Google Scholar 

  49. A. Mishima, K. Nasu: Phys. Rev. B 39, 5763 (1989)

    Article  ADS  Google Scholar 

  50. K. Nasu, A. Mishima: Rev. Solid State Sci. 2 539 (1988)

    Google Scholar 

  51. M. Whangbo, M. Foshee: Inorg. Chem. 20 113 (1981)

    Article  Google Scholar 

  52. D. Jerome, C. Beithier, P. Molinie, J. Rouxel: J. de Phys. C 4 125 (1976)

    Google Scholar 

  53. J. Jorgensen, D. Hinks, G. Flecher: Phys. Rev. B 35, 5365 (1987)

    Article  ADS  Google Scholar 

  54. S. Tajima, S. Uchida, A. Masaki, H. Takagi, K. Kitazawa, S. Tanaka, A. Katsui: Phys. Rev. B 32 6302 (1985)

    Article  ADS  Google Scholar 

  55. S. Kondo, M. Sera, Y. Ando, M. Sato: Physica C 157 469 (1989)

    Article  ADS  Google Scholar 

  56. G. Bilbro, W. McMillan: Phys. Rev. B 14 1887 (1976)

    Article  ADS  Google Scholar 

  57. B. Chakraverty: J. de Phys. 42 1351 (1981)

    Article  Google Scholar 

  58. A. Alexandrov, J. Ranninger: Phys. Rev. B 23 1796 (1981)

    Article  ADS  Google Scholar 

  59. K. Nasu: Phys. Rev. B 35, 1748 (1987)

    Article  ADS  Google Scholar 

  60. P. Anderson: Phys. Rev. 112 1900 (1958)

    Article  MathSciNet  ADS  Google Scholar 

  61. P. Pincus, P. Chaikin, C. Coll III: Solid State Commun. 12 1265 (1973)

    Google Scholar 

  62. A. Leggett: J. de Phys. 41 C7–19 (1980)

    Google Scholar 

  63. P. Nozi¨¨res, S. Schmitt-Rink: J. Low Temp. Phys. 59, 195 (1985)

    Article  ADS  Google Scholar 

  64. K. Nase: Phys. Rev. B 37 5075 (1988); B 42 6076 (1990)

    Google Scholar 

  65. P. Soven: Phys. Rev. 156 809 (1967)

    Article  ADS  Google Scholar 

  66. W. Evenson, J. Schrieffer, S. Wang: J. Appl. Phys. 41 1199 (1970)

    Google Scholar 

  67. J. Bednorz, K. Millier: Z. Phys. B 64, 199 (1986)

    Google Scholar 

  68. M. Geil-Mann, K.A. Bruckner: Phys. Rev. 106 364 (1957)

    Google Scholar 

  69. K.S. Singwi, A. Sjölander, K.M.P. Tosi, R.H. Land: Phys. Rev. 131 1044 (1970)

    Google Scholar 

  70. P. Hohenberg, W. Kohn: Phys. Rev. B 136, 864 (1964)

    Google Scholar 

  71. W. Kohn, P. Sham: Phys. Rev. A 140 1133 (1965)

    MathSciNet  ADS  Google Scholar 

  72. T. Moriya (ed.): Electron Correlation and Magnetism in Narrow-Band Systems,Springer Sea. Solid-State Sci., Vol.29 (Springer, Berlin, Heidelberg 1981)

    Google Scholar 

  73. T. Moriya, H. Hasegawa: J. Phys. Soc. Jpn. 48 1490 (1980)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Tsuda, N., Nasu, K., Yanase, A., Siratori, K. (1991). Theories for Many-Body Problems in Strongly Coupled Electron-Phonon Systems. In: Electronic Conduction in Oxides. Springer Series in Solid-State Sciences, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02668-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-02668-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02670-0

  • Online ISBN: 978-3-662-02668-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics