Skip to main content
SpringerLink
Log in

Energy and critical ionic-bond parameter of a 3D large-radius bipolaron

  • Electronic Properties of Solid
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

A theory of a strong-coupling large-radius bipolaron has been developed. The possibility of the formation of 3D bipolarons in high-temperature superconductors is discussed. For the bipolaron energy, the lowest variational estimate has been obtained at α > 8, where α is the electron-phonon coupling constant. The critical ionic-bond parameter η c = ɛ∞/ɛ0, where ɛ∞ and ɛ0 are the high-frequency and static dielectric constants, has been found to be η c = 0.2496.

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. M. A. Smondyrev and V. M. Fomin, in Polarons and Applications, Ed. by V. D. Lakhno (Wiley, Chichester, 1994), p. 514.

    Google Scholar 

  2. J. T. Devreese and A. S. Alexandrov, Rep. Prog. Phys 72, 1 (2009).

    Article  Google Scholar 

  3. G. Verbist, F. M. Peeters, and J. T. Devreese, Phys. Rev. B: Condens. Matter 43, 2712 (1991).

    ADS  Google Scholar 

  4. O. Gunnarsson and O. Rösch, J. Phys.: Condens. Matter 20, 043201 (2008).

    Article  ADS  Google Scholar 

  5. L. Vidmar, J. Bona, S. Maekawa, and T. Tohyama, Phys. Rev. Lett 103, 186401 (2009).

    Article  ADS  Google Scholar 

  6. W. Meevasana, T. P. Devereaux, N. Nagaosa, Z.-X. Shen, and J. Zaanen, Phys. Rev. B: Condens. Matter 74, 174524 (2006).

    ADS  Google Scholar 

  7. W. Meevasana, N. J. Ingle, D. H. Lu, J. R. Shi, F. Baumberger, K. M. Shen, W. S. Lee, T. Cuk, H. Eisaki, T. P. Devereaux, N. Nagaosa, J. Zaanen, and Z.-X. Shen, Phys. Rev. Lett 96, 157003 (2006).

    Article  ADS  Google Scholar 

  8. A. S. Mishchenko, N. Nagaosa, Z.-X. Shen, G. De Filippis, V. Cataudella, T. P. Devereaux, C. Bernhard, K. W. Kim, and J. Zaanen, Phys. Rev. Lett. 100, 166401 (2008).

    Article  ADS  Google Scholar 

  9. T. Holstein, Ann. Phys. (New York) 8, 343 (1959).

    Article  ADS  Google Scholar 

  10. A. S. Alexandrov and P. E. Kornilovitch, Phys. Rev. Lett. 82, 807 (1999).

    Article  ADS  Google Scholar 

  11. J. Adamowski and S. Bednarek, J. Phys.: Condens. Matter 4, 2845 (1992).

    Article  ADS  Google Scholar 

  12. N. I. Kashirina, V. D. Lakhno, and V. V. Sychyov, Phys. Status Solidi B 234, 235 (2002).

    Google Scholar 

  13. N. I. Kashirina, V. D. Lakhno, and V. V. Sychyov, Phys. Rev. B: Condens. Matter 71, 134301 (2005).

    ADS  Google Scholar 

  14. S. G. Suprun and B. Ya. Moĭzhes, Fiz. Tverd. Tela (Leningrad) 24(5), 1571 (1982) [Sov. Phys. Solid State 24 (5), 903 (1982)].

    Google Scholar 

  15. N. I. Kashirina, V. D. Lakhno, and V. V. Sychyov, Phys. Status Solidi B 239, 174 (2003).

    Article  ADS  Google Scholar 

  16. G. Verbist, M. A. Smondyrev, F. M. Peeters, and J. T. Devreese, Phys. Rev. B: Condens. Matter 45, 5662 (1992).

    ADS  Google Scholar 

  17. P. Vansant, M. A. Smondyrev, F. M. Peeters, and J. T. Devreese, J. Phys. A: Math. Gen. 27, 7925 (1994).

    Article  MATH  ADS  Google Scholar 

  18. V. L. Vinetskiĭ, O. Meredov, and V. A. Yanchuk, Teor. Éksp. Khim. 25(6), 641 (1989) [Theor. Exp. Chem. 25 (6), 591 (1989)].

    Google Scholar 

  19. T. D. Lee, F. Low, and D. Pines, Phys. Rev. 88, 960 (1952).

    Article  ADS  Google Scholar 

  20. I. V. Amirkhanov, I. V. Puzynin, T. A. Strizh, and V. D. Lakhno, Izv. Akad. Nauk, Ser. Fiz. 59, 106 (1995).

    Google Scholar 

  21. A. V. Tulub, Zh. Éksp. Teor. Fiz. 41, 1828 (1961) [Sov. Phys. JETP 14, 1301 (1962)].

    Google Scholar 

  22. N. I. Kashirina, V. D. Lakhno, and V. V. Sychyov, Semicond. Phys., Quantum Electron. Optoelectron. 5, 235 (2002).

    Google Scholar 

  23. R. P. Feynman, Phys. Rev. 97, 660 (1955).

    Article  MATH  ADS  Google Scholar 

  24. D. Reagor, E. Ahrens, S. W. Cheong, A. Migliori, and Z. Fisk, Phys. Rev. Lett. 62, 2048 (1989).

    Article  ADS  Google Scholar 

  25. G. Verbist, F. M. Peeters, and J. T. Devreese, Phys. Scr. 39, 66 (1991).

    Article  Google Scholar 

  26. N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, Zh. Éksp. Teor. Fiz. 114(2), 570 (1998) [JETP 87 (2), 310 (1998)].

    Google Scholar 

  27. A. Macridin, G. A. Sawatzky, and M. Jarrell, Phys. Rev. B: Condens. Matter 69, 245 111 (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moscow oblast, 142290, Russia

    V. D. Lakhno

Authors
  1. V. D. Lakhno
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. D. Lakhno.

Additional information

Original Russian Text © V.D. Lakhno, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 137, No. 5, pp. 926–931.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lakhno, V.D. Energy and critical ionic-bond parameter of a 3D large-radius bipolaron. J. Exp. Theor. Phys. 110, 811–815 (2010). https://doi.org/10.1134/S1063776110050122

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776110050122

Keywords

Search

Navigation