Skip to main content
Log in

Two-site model for a small polaron: Mass renormalization and optical conductivity

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

Abstract

The renormalization of the mass of an electron interacting with many ions of a lattice via the long-range (Fröhlich) electron-phonon interaction and optical absorption of electrons are studied at zero temperature. Ions are assumed to be isotropic three-dimensional oscillators. The optical conductivity and the renormalized mass of small adiabatic Fröhlich polarons are calculated and compared with those of small adiabatic Holstein polarons.

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. L. D. Landau, Phys. Z. Sowjetunion 3, 664 (1933).

    Google Scholar 

  2. A. S. Alexandrov, Phys. Rev. B: Condens. Matter 53, 2863 (1996).

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. T. Holstein, Ann. Phys. (Weinheim, Ger.) 8, 325, 343 (1959).

    ADS  Google Scholar 

  5. A. S. Alexandrov and B. Ya. Yavidov, Phys. Rev. B: Condens. Matter 69, 073101 (2004).

  6. T. Timusk, C. C. Homes, and W. Reichardt, in Anharmonic Properties of High-T c Cuprates, Ed. by D. Mihailovic, E. Kaldis, G. Ruani, and K. A. Müller (World Scientific, Singapore, 1995), p. 171.

    Google Scholar 

  7. S. A. Trugman, J. Bonča, and Li-Chung Ku, Int. J. Mod. Phys. B 15, 2707 (2001).

    Article  ADS  Google Scholar 

  8. P. E. Kornilovitch, Phys. Rev. B: Condens. Matter 59, 13 531 (1999).

    Google Scholar 

  9. D. M. Eagles, Phys. Rev. 130, 1381 (1963); Phys. Rev. 181, 1278 (1969); Phys. Rev. 186, 456 (1969).

    Article  ADS  Google Scholar 

  10. H. G. Reik, Solid State Commun. 1, 67 (1963).

    Article  ADS  Google Scholar 

  11. M. I. Klinger, Phys. Lett. 7, 102 (1963).

    Article  ADS  Google Scholar 

  12. H. Böttger and V. V. Bryksin, Hopping Conduction in Solids (Academie, Berlin, 1985).

    Google Scholar 

  13. A. S. Alexandrov, V. K. Kabanov, and D. K. Ray, Physica C (Amsterdam) 224, 247 (1994).

    ADS  Google Scholar 

  14. E. Kartheuser, R. Evrard, and J. T. Devreese, Phys. Rev. Lett. 22, 94 (1969).

    Article  ADS  Google Scholar 

  15. J. Devreese, J. de Sitter, and M. Goovaerts, Phys. Rev. B: Solid State 5, 2367 (1972).

    ADS  Google Scholar 

  16. J. T. Devreese, in Polarons in Ionic Crystals and Polar Semiconductors, Ed. by J. T. Devreese (North-Holland, Amsterdam, 1972).

    Google Scholar 

  17. F. M. Peeters and J. T. Devreese, Phys. Rev. B: Condens. Matter 28, 6051 (1983).

    ADS  Google Scholar 

  18. J. T. Devreese, in Encyclopedia of Applied Physics, Ed. by G. L. Trigg (VCH, New York, 1996), Vol. 14, p. 383.

    Google Scholar 

  19. J. Tempere and J. T. Devreese, Phys. Rev. B: Condens. Matter 64, 104 504 (2001).

    Google Scholar 

  20. A. S. Mishchenko, N. Nagaosa, N. V. Prokof’ev, A. Sakamoto, and B. V. Svistunov, Phys. Rev. Lett. 91, 236 401 (2003).

    Google Scholar 

  21. G. D. Mahan, Many-Particle Physics (Kluwer, New York, 2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Yavidov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yavidov, B. Two-site model for a small polaron: Mass renormalization and optical conductivity. J. Exp. Theor. Phys. 108, 1019–1023 (2009). https://doi.org/10.1134/S1063776109060132

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776109060132

PACS numbers

Navigation