Skip to main content
SpringerLink
Log in

Diagram Approach to the Problem of the Normal Phase Properties of the Spin-Polaron Ensemble in Cuprate Superconductors

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Taking into account the real crystalline structure of the \(\hbox {CuO}_2\) plane within the spin-fermion model and using the diagram technique, the spin-polaron concept of the fermionic excitations in cuprate superconductors is implemented. It is shown that an account of the on-site scattering processes leads to considerable binding energy of the spin-polaron quasiparticles. An account of the two-site spin-fermion scattering processes results in the energy spectrum and spectral properties of the spin-polaron quasiparticles which agree well with experimental data on cuprate superconductors.

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

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. A. Damascelli, Z. Hussain, Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003)

    Article  ADS  Google Scholar 

  2. P.A. Lee, N. Nagaosa, X.-G. Wen, Rev. Mod. Phys. 78, 173 (2006)

    Article  Google Scholar 

  3. M. Eschrig, Adv. Phys. 55, 47 (2006)

    Article  ADS  Google Scholar 

  4. T. Timusk, B. Statt, Rep. Prog. Phys. 62, 61 (1999)

    Article  ADS  Google Scholar 

  5. M.V. Sadovskii, Phys. Usp. 44, 515 (2001)

    Article  ADS  Google Scholar 

  6. A. F. Barabanov, L. A. Maksimov, A. V. Mikheyenkov, in Theory of the Spin-Polaron for 2D Antiferromagnets, Lectures on the Physics of Highly Correlated Electron Systems IV, ed. by F. Mancini, AIP Conference Proceedings, vol 527, p. 1 (2000)

  7. A.F. Barabanov, A.V. Mikheenkov, A.M. Belemuk, JETP Lett. 75, 107 (2002)

    Article  ADS  Google Scholar 

  8. A.F. Barabanov, L.A. Maksimov, G.V. Uimin, JETP Lett. 47, 622 (1988)

    ADS  Google Scholar 

  9. A.F. Barabanov, L.A. Maksimov, G.V. Uimin, Sov. Phys. JETP 69, 371 (1989)

    Google Scholar 

  10. P. Prelovšek, Phys. Lett. A. 126, 287 (1988)

    Article  ADS  Google Scholar 

  11. J. Zaanen, A.M. Oleś, Phys. Rev. B. 37, 9423 (1988)

    Article  ADS  Google Scholar 

  12. E.B. Stechel, D.R. Jennison, Phys. Rev. B. 38, 4632 (1988)

    Article  ADS  Google Scholar 

  13. V.J. Emery, G. Reiter, Phys. Rev. B. 38, 4547 (1988)

    Article  ADS  Google Scholar 

  14. H. Matsukawa, H. Fukuyama, J. Phys. Soc. Jpn. 58, 2845 (1989)

    Article  ADS  Google Scholar 

  15. D.M. Dzebisashvili, V.V. Val’kov, A.F. Barabanov, JETP Lett. 98, 528 (2013)

    Article  ADS  Google Scholar 

  16. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, Phys. Lett. A 379, 421 (2015)

    Article  Google Scholar 

  17. V.V. Val’kov, D.M. Dzebisashvili, M.M. Korovushkin, A.F. Barabanov, JETP Lett. 103, 385 (2016)

    Article  ADS  Google Scholar 

  18. V.V. Val’kov, D.M. Dzebisashvili, M.M. Korovushkin, A.F. Barabanov, J. Low Temp. Phys. 191, 408 (2018)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. C.M. Varma, S. Schmitt-Rink, E. Abrahams, Solid State Commun. 62, 681 (1987)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. V.V. Val’kov, D.M. Dzebisashvili, A.F. Barabanov, J. Supercond. Nov. Magn. 29, 1049 (2016)

    Article  Google Scholar 

  23. V.V. Val’kov, V.A. Mitskan, D.M. Dzebisashvili, A.F. Barabanov, Low Temp. Phys. 44, 130 (2018)

    Article  ADS  Google Scholar 

  24. T. Matsubara, Prog. Theor. Phys. 14, 351 (1955)

    Article  ADS  Google Scholar 

  25. A.A. Abrikosov, L.P. Gor’kov, I.E. Dzyaloshinskii, Quantum Field Theoretical Methods in Statistical Physics, Prentice Hall, Englewood Cliffs (Pergamon Press, New York, 1963)

    Google Scholar 

  26. V.G. Bar’yakhtar, V.E. Krivoruchko, D.A. Yablonskii, Green’s Functions in Magnetism Theory (Naukova Dumka, Kiev, 1984). [in Russian]

    Google Scholar 

  27. H. Shimahara, S. Takada, J. Phys. Soc. Jpn. 60, 2394 (1991)

    Article  ADS  Google Scholar 

  28. A.F. Barabanov, V.M. Berezovskii, JETP 79, 627 (1994)

    ADS  Google Scholar 

  29. A.F. Barabanov, A.V. Mikheenkov, A.V. Shvartsberg, Theor. Math. Phys. 168, 1192 (2011)

    Article  Google Scholar 

Download references

Acknowledgements

The work was supported by the program of the Presidium of the Russian Academy of Sciences No. 12 “Fundamental problems of high-temperature superconductivity,” the Russian Foundation for Basic Research (RFBR) (Projects Nos. 18-02-00837 and 19-02-00509) and partly by the Government of Krasnoyarsk Region and the Krasnoyarsk Region Science and Technology Support Fund (Projects Nos. 18-42-243002 “Manifestation of spin-nematic correlations in spectral characteristics of electronic structure and their influence on practical properties of cuprate superconductors,” 18-42-243018 “Contact phenomena and magnetic disorder in the problem of the formation and detection of topological edge states in semiconductor nanostructures,” and 18-42-240014 “Single-orbit effective model of an ensemble of spin-polaron quasiparticles in the problem of describing the intermediate state and pseudogap behavior of cuprate superconductors”).

Author information

Authors and Affiliations

  1. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russia, 660036

    V. V. Val’kov, V. A. Mitskan, M. M. Korovushkin & D. M. Dzebisashvili

  2. Siberian State University of Science and Technology, Krasnoyarsk, Russia, 660037

    V. A. Mitskan & D. M. Dzebisashvili

  3. Vereshchagin Institute for High Pressure Physics, Troitsk, Moscow, Russia, 108840

    A. F. Barabanov

Authors
  1. V. V. Val’kov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Mitskan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. M. Korovushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. D. M. Dzebisashvili
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. F. Barabanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. M. Korovushkin.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Val’kov, V.V., Mitskan, V.A., Korovushkin, M.M. et al. Diagram Approach to the Problem of the Normal Phase Properties of the Spin-Polaron Ensemble in Cuprate Superconductors. J Low Temp Phys 197, 34–43 (2019). https://doi.org/10.1007/s10909-019-02211-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-019-02211-9

Keywords

Search

Navigation