Skip to main content
SpringerLink
Log in

Electron-phonon superconductivity mechanisms in the Hubbard model

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

Abstract

An electron-phonon pairing mechanism in the Hubbard model on a square lattice is considered. The method of two-time Green's functions is used to calculate the critical temperature of the superconducting transition. The limiting caseU→∞ is considered, and expressions are obtained for the dependences on the concentration of particles of the temperatures of the superconducting and Peierls transitions and the exponent of the isotopic effect. It is shown that the inclusion of Coulomb correlations leads to a displacement of the Van Hove singularity in the quasiparticle spectrum and to a change in the dependences of the isotopic effect and the temperatures of the superconducting and Peierls transitions on the carrier concentration compared with an ordinary Fermi system.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Fulde,Physica (Utrecht) C,153–155, 1769 (1990).

    Google Scholar 

  2. P. W. Anderson,Science,234, 1196 (1987).

    Google Scholar 

  3. F. C. Zhang and T. M. Rice,Phys. Rev. B,37, 3759 (1988).

    Google Scholar 

  4. V. J. Emery,Phys. Rev. Lett.,58, 2794 (1987).

    Google Scholar 

  5. Von der Linden et al.,Phys. Rev. B,41, 4669 (1990).

    Google Scholar 

  6. M. Frick et al.,Phys. Rev. B,41, 2665 (1990).

    Google Scholar 

  7. M. P. Crawford et al.,Phys. Rev. B,41, 282 (1990).

    Google Scholar 

  8. J. P. Franck et al.,Physica (Utrecht) B,169, 697 (1991).

    Google Scholar 

  9. W. P. Pickett et al.,Phys. Rev. Lett.,67, 228 (1991).

    Google Scholar 

  10. L. Pintschovins et al.,Proceedings of the International Seminar on High-Temperature Superconductivity, E17-90-472, JINR, Dubna (1990), p. 32.

    Google Scholar 

  11. F. Marsiglio,Phys. Rev. B,42, 2416 (1990).

    Google Scholar 

  12. R. M. Noak et al.,Phys. Rev. Lett.,66, 778 (1991).

    Google Scholar 

  13. J. Hubbard,Proc. R. Soc. London Ser. A,276, 238 (1963).

    Google Scholar 

  14. A. K. Kuzemskii,Teor. Mat. Fiz.,36, 208 (1978).

    Google Scholar 

  15. S. V. Vonsovskii et al.,Superconductivity of Transition Metals, Their Alloys, and Compounds [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  16. C. C. Tsue et al.,Phys. Rev. Lett.,65, 2724 (1990).

    Google Scholar 

  17. J. Hubbard,Proc. R. Soc. London Ser. A,281, 401 (1964).

    Google Scholar 

Download references

Authors
  1. Chan Minh Tien
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 3, pp. 463–473, June, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chan Minh Tien Electron-phonon superconductivity mechanisms in the Hubbard model. Theor Math Phys 91, 650–657 (1992). https://doi.org/10.1007/BF01017342

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017342

Keywords

Search

Navigation