Skip to main content
Log in

Electron-phonon system with strong electronic correlations

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

The properties of the Hubbard-Holstein model for an electron-phonon system with strong electron correlations are investigated on the basis of a new diagram technique. The equations of the main dynamical quantities and optical dispersionless phonons are established. The problem of excluding partially or completely the phonon's coordinates and the corresponding renormalization of the physical parameters of the theory is discussed.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. G. Bednorz and K. A. Muller,Z. Phys.,B64, 188 (1986).

    Google Scholar 

  2. P. W. Anderson,RVB Book on High-Tc Supconductivity, Princeton Univ. Press, Chapters 2, 3, 6.

  3. P. W. Anderson and J. R. Schrieffer,Physics Today,44, No. 6, 54 (1991).

    Google Scholar 

  4. J. R. Schrieffer, X.-G. Wen, and S.-C. Zhang,Phys. Rev.,B39, 1163 (1989); A. Kamf and J. R. Schrieffer,Phys. Rev.,B41, 6399 (1990);B42, 7967.

    Google Scholar 

  5. A. J. Millis, H. Monien, and D. Pines,Phys. Rev.,B42, 167 (1990); P. Monthoux, P. Balatsky, and D. Pines,Phys. Rev. Lett. 69, 961 (1992);Phys. Rev.,B47, 6069 (1993).

    Google Scholar 

  6. J. Bardeen, L. N. Cooper, and J. R. Schrieffer,Phys. Rev.,108, 1175 (1957); J. R. Schrieffer,Theory of Superconductivity, New York (1964).

    Google Scholar 

  7. N. N. Bogolubov, V. V. Tolmachev, and D. V. Shirkov,New Methods in Superconducting Theory, Akad. Nauk SSSR (1958); N. N. Bogolubov, D. N. Zubarev, and Yu. A. Tserkovnikov,Dokl. Akad. Nauk SSSR,117, 788 (1957);JETP,34, 58 (1958).

  8. A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinskii,Methods of Quantum Field Theory in Statistical Physics, Prentice-Hall (1964).

  9. G. M. Eliashberg,Zh. Eksp. Teor. Fiz.,11, 698 (1960).

    Google Scholar 

  10. V. A. Moskalenko,Fiz. Met. Metalloved.,8, 503 (1959); V. A. Moskalenko, M. E. Palistrant, and V. M. Vakalyuk,Usp. Fiz. Nauk,161, 155 (1991).

    Google Scholar 

  11. H. Suhl, B. T. Mathias, and L. K. Walker,Phys. Rev. Lett.,3, 552 (1959).

    Google Scholar 

  12. J. Hubbard,Proc. Roy. Soc. London,A276, 233 (1963);A277, 237 (1964);A281, 401.

    Google Scholar 

  13. R. O. Zaitsev and V. A. Ivanov,Fiz. Tverd. Tela,29, 2554 (1987);Physica,C153-155, 1295 (1988).

    Google Scholar 

  14. N. M. Plakida, V. Yu. Yushankhai, and I. V. Stasyuk,Physica,C160, 80 (1989); N. M. Plakida and I. V. Stasyuk,Mod. Phys. Lett.,B2, 969 (1988).

    Google Scholar 

  15. Yu. A. Izyumov and B. M. Letfulov,Int. J. Mod. Phys.,B6, No. 3/4, 321 (1992);J. Phys. Condens. Matter,2, 8905 (1990).

    Google Scholar 

  16. Yu. A. Izyumov and Yu. N. Skryabin,Statistical Mechanics of Magnetically Ordered Systems (Consultants Bureau) (1988).

  17. M. I. Vladimir and V. A. Moskalenko,Teor. Mat. Fiz.,82, No. 3, 428 (1990); S. I. Vacaru, M. I. Vladimir, and V. A. Moskalenko,Teor. Mat. Fiz.,85, No. 2, 248 (1990).

    Google Scholar 

  18. N. N. Bogolubov and V. A. Moskalenko, in:Proceeding of the Dubna HTSC Seminar 1990, p. 101;JINR Rapid Communications, Dubna,44, No. 5 (1990);Teor. Mat. Fiz.,86, No. 1, 16 (1991);Dokl. Akad. Nauk SSSR,136, No. 5, 1107 (1991);Teor. Mat. Fiz.,92, No. 2 (1992).

  19. V. A. Moskalenko, S. P. Kozhokaru, and Nguyen Thi Que Hyong,Fiz. Nizk. Temp.,17, No. 10, 1224 (1991); in: III-rd All Union Conference on HTSC. Abstracts, Vol. 1, Khar'kov (1991), p. 110.

    Google Scholar 

  20. J. D. Jogensen et al.,Phys. Rev. Lett.,58, No. 10, 1024 (1987).

    Google Scholar 

  21. G. L. Doll et al.,Phys. Rev.,B38, No. 13, 8850 (1988).

    Google Scholar 

  22. M. K. Crawford et al.,Phys. Rev.,B41, No. 1, 282 (1990).

    Google Scholar 

  23. T. Holstein,Ann. Phys.,8, No. 3, 325 (1959).

    Google Scholar 

  24. M. B. Schuttler et al.,J. Low. Temp. Phys.,69, 159 (1987); M. B. Schuttler and A. J. Fedro,Phys. Rev.,B38, 9063 (1988).

    Google Scholar 

  25. J. Zhong and M. B. Schuttler,Phys. Rev. Lett.,69, No. 10, 1600 (1992).

    Google Scholar 

  26. M. Apostol, F. Buzatu, and Fang Hua Liu,Int. J. Mod. Phys.,4, No. 1, 159 (1990); L. Vasiliu-Doloc and M. Apostol,Solid State Commun.,80, No. 7, 529 (1991); M. Apostol and L. Vasiliu-Doloc,Int. J. Mod. Phys.,B6, No. 9, 1539 (1992).

    Google Scholar 

  27. A. L. Kuzemskii and A. P. Zhernov,Int. J. Mod. Phys.,B4, No. 7/8, 1395 (1990).

    Google Scholar 

  28. S. Tang and J. E. Hirsch,Phys. Rev.,B37, No. 16, 9546 (1988).

    Google Scholar 

  29. J. Zielinski, M. Matlak, and P. Entel,Phys. Lett.,A165, No. 3, 285 (1992).

    Google Scholar 

  30. S. Drechsler and N. Plakida,Phys. Status Solidi,144, 133 (1987).

    Google Scholar 

  31. K. Muller,Z. Phys.,B80, 193 (1990).

    Google Scholar 

  32. K. Nasu,J. Phys. Condens. Matter,4, No. 14, 3793 (1992).

    Google Scholar 

  33. H. Fehske, M. Deeg, and H. Buttner,Phys. Rev.,B46, No. 7, 3713 (1992); M. Deeg, H. Fehske, and H. Buttner,Z. Phys.,B88, No. 3, 283 (1992).

    Google Scholar 

  34. P. Prelovsek, T. M. Rice, and F. C. Zhang,J. Phys.,C20, 229 (1987); F. C. Zhang and P. Prelovsek,Phys. Rev.,B37, No. 4, 1569 (1988).

    Google Scholar 

  35. R. M. Noack, D. J. Scalapino, and R. T. Scaletter,Phys. Rev. Lett.,66, No. 6, 56 (1991); M. Vekic, R. M. Noack, and S. R. White,Phys. Rev.,B46, No. 1, 271 (1992).

    Google Scholar 

  36. Chang Minh-Thien,Teor. Mat. Fiz.,91, No. 3, 41 (1992); Chang Minh-Thien and N. M. Plakida,Physica,C206, 90 (1993);Mod. Phys. Lett.,B6, 1309 (1992).

    Google Scholar 

  37. R. P. Feynman,Phys. Rev.,87, 103 (1951).

    Google Scholar 

  38. V. A. Moskalenko,Dokl. Akad. Nauk SSSR,123, No. 3, 433 (1958).

    Google Scholar 

  39. S. Barišic, I. Kupčic, and I. Batištić,Int. J. Mod. Phys.,B3, 2051 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 1, pp. 138–160, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moskalenko, V.A., Xi-Fu, W., Zhi-Xing, W. et al. Electron-phonon system with strong electronic correlations. Theor Math Phys 103, 455–474 (1995). https://doi.org/10.1007/BF02069789

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02069789

Keywords

Navigation