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Translation invariant theory of polaron (bipolaron) and the problem of quantizing near the classical solution

  • Atoms, Molecules, Optics
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Abstract

A physical interpretation of translation-invariant polarons and bipolarons is presented, some results of their existence are discussed. Consideration is given to the problem of quantization in the vicinity of the classical solution in the quantum field theory. The lowest variational estimate is obtained for the bipolaron energy E(η) with E(0) = -0.440636α2, where α is a constant of electron-phonon coupling, η is a parameter of ion binding.

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References

  1. R. Rajaraman, An Introduction to Solitons and Instantons in Quantum Field Theory (North-Holland, Amsterdam, 1982; Mir, Moscow, 1985).

    MATH  Google Scholar 

  2. N. I. Kashirina, V. D. Lakhno, and A. V. Tulub, JETP 114(5), 867 (2012).

    Article  ADS  Google Scholar 

  3. A. V. Tulub, Sov. Phys. JETP 14, 1828 (1961).

    Google Scholar 

  4. V. D. Lakhno and G. N. Chuev, Phys.-Usp. 38(3), 273 (1995)].

    Article  ADS  Google Scholar 

  5. S. J. Miyake, J. Phys. Soc. Jpn. 38, 181 (1975).

    Article  ADS  Google Scholar 

  6. D. J. J. Marchand, G. De Filippis, V. Cataudella, M. Berciu, N. Nagaosa, N. V. Prokof’ev, A. S. Mishchenko, and P. C. E. Stamp, Phys. Rev. Lett. 105, 266605 (2010).

    Article  ADS  Google Scholar 

  7. J. P. Hague, P. E. Kornilovitch, and A. S. Alexandrov, Phys. Rev. B: Condens. Matter 78, 092302 (2008).

    Article  ADS  Google Scholar 

  8. A. S. Mishchenko, N. Nagaosa, A. Alvermann, H. Fehske, G. De Filippis, V. Cataudella, and O. P. Sushkov, Phys. Rev. B: Condens. Matter 79, 180301 (2009).

    Article  ADS  Google Scholar 

  9. H. Ebrahimnejad and M. Berciu, Phys. Rev. B: Condens. Matter 85, 165117 (2012).

    Article  ADS  Google Scholar 

  10. E. Burovski, H. Fehske, and A. S. Mishchenko, Phys. Rev. Lett. 101, 116403 (2008).

    Article  ADS  Google Scholar 

  11. V. D. Lakhno, JETP 110(5), 811 (2010).

    Article  ADS  Google Scholar 

  12. V. D. Lakhno, Solid State Commun. 152, 621 (2012).

    Article  ADS  Google Scholar 

  13. N. I. Kashirina and V. D. Lakhno, Phys.-Usp. 53(5), 431 (2010)

    Article  ADS  Google Scholar 

  14. S. N. Klimin and J. T. Devreese, Solid State Commun. 152, 1601 (2012).

    Article  ADS  Google Scholar 

  15. S. N. Klimin and J. T. Devreese, Solid State Commun. 153, 58 (2013).

    Article  ADS  Google Scholar 

  16. M. Porsch and J. Röseler,, Phys. Status Solidi B 23, 3365 (1967).

    Article  ADS  Google Scholar 

  17. V. D. Lakhno, arXiv:1211.0382.

  18. V. D. Lakhno, Solid State Commun. 152, 1855 (2012).

    Article  ADS  Google Scholar 

  19. A. V. Tulub, Vestn. Leningr. Univ. 22, 104 (1960).

    Google Scholar 

  20. B. Gerlach and H. Löwen,, Phys. Rev. B: Condens. Matter 37, 8042 (1988).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

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

    V. D. Lakhno

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  1. V. D. Lakhno
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Correspondence to V. D. Lakhno.

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Original Russian Text © V.D. Lakhno, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 6, pp. 1033–1038.

The article was translated by the authors.

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Lakhno, V.D. Translation invariant theory of polaron (bipolaron) and the problem of quantizing near the classical solution. J. Exp. Theor. Phys. 116, 892–896 (2013). https://doi.org/10.1134/S1063776113060083

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  • DOI: https://doi.org/10.1134/S1063776113060083

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