Skip to main content
Log in

Effect of External Factors on Physical and Chemical Transformations Polaron in an Electric Field as a Generator of Coherent Lattice Vibrations

  • Influence of External Factors on Physicochemical Transformations
  • Published:
Russian Journal of Physical Chemistry B Aims and scope Submit manuscript

Abstract

The dynamics of polaron on a one-dimensional harmonic lattice in a constant electric field is considered in detail. Calculations were performed with parameters approximately corresponding to the parameters of polyacetylene and DNA. The polaron in a constant field comes out to a steady state characterized by a constant profile and velocity. The energy imparted to the polaron by the electric field is converted to longitudinal coherent lattice vibrations. For several thousand lattice points, these vibrations are constant in their frequency and wavenumbers, which weakly depend on the strength of electric field.

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. K. A. Friedman and A. Heller, J. Phys. Chem. B 105, 11859 (2001).

    Article  CAS  Google Scholar 

  2. R. G. Endres, D. L. Cox, and R. R. P. Singh, Rev. Mod. Phys. 76, 195 (2004).

    Article  CAS  Google Scholar 

  3. H.-W. Fink and C. Schonberg, Nature (London, U.K.) 398, 407 (1999).

    Article  CAS  Google Scholar 

  4. D. Porath, A. Bezryadin, S. de Vries, and C. Dekker, Nature (London, U.K.) 403, 635 (2000).

    Article  CAS  Google Scholar 

  5. J. C. Genereux and J. K. Barton, Chem. Rev. 110, 1642 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  6. J. C. Genereux, S. M. Wuerth, and J. K. Barton, J. Am. Chem. Soc. 133, 3863 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  7. Y. Arikuma, H. Nakayama, T. Morita, and S. Kimura, Angew. Chem., Int. Ed. 49, 1800 (2010).

    Article  CAS  Google Scholar 

  8. K. E. Augustyn, J. C. Genereux, and J. K. Barton, Angew. Chem., Int. Ed. 46, 5731 (2007).

    Article  CAS  Google Scholar 

  9. J. K. Barton, E. D. Olmon, and P. A. Sontz, Coord. Chem. Rev. 255, 619 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  10. J. D. Slinker, N. B. Muren, S. E. Renfrew, and J. K. Barton, Nat. Chem. 3, 228 (2011).

    Article  CAS  PubMed  Google Scholar 

  11. M. Cordes and B. Giese, Chem. Soc. Rev. 38, 892 (2009).

    Article  CAS  PubMed  Google Scholar 

  12. T. Yu. Astakhova, V. N. Likhachev, and G. A. Vinogradov, Russ. Chem. Rev. 81, 994 (2012).

    Article  CAS  Google Scholar 

  13. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. Lett. 42, 1968 (1979).

    Article  Google Scholar 

  14. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. B 22, 2099 (1980).

    Article  CAS  Google Scholar 

  15. W. P. Su and J. R. Schrieffer, Proc. Natl. Acad. Sci. U.S.A. 77, 5626 (1980).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  16. W. P. Su and J. R. Schrieffer, Phys. Rev. Lett. 46, 738 (1981).

    Article  CAS  Google Scholar 

  17. H. Takayama, Y. R. Lin-Liu, and K. Maki, Phys. Rev. B 21, 2388 (1980).

    Article  CAS  Google Scholar 

  18. E. G. Wilson, J. Phys. C 16, 6739 (1983).

    Article  CAS  Google Scholar 

  19. Y. Arikabe, M. Kuwabara, and Y. Ono, J. Phys. Soc. Jpn. 65, 1317 (1996).

    Article  CAS  Google Scholar 

  20. R. A. Marcus, Angew. Chem., Int. Ed. 32, 1111 (1993).

    Article  Google Scholar 

  21. V. Sartor, E. Boone, and G. B. Schuster, J. Phys. Chem. B 105, 11057 (2001).

    Article  CAS  Google Scholar 

  22. E. Meggers, M. E. Michel-Beyerle, and B. Giese, J. Am. Chem. Soc. 120, 12950 (1998).

    Article  CAS  Google Scholar 

  23. E. M. Conwell and S. V. Rakhmanova, Proc. Natl. Acad. Sci. U.S.A. 97, 4556 (2000).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  24. S. V. Rakhmanova and E. M. Conwell, J. Phys. Chem. B 105, 2056 (2001).

    Article  CAS  Google Scholar 

  25. S. Komineas, G. Kalosakas, and A. R. Bishop, Phys. Rev. E 65, 061905 (2002).

    Article  CAS  Google Scholar 

  26. G. Kalosakas, K. O. Rasmussen, and A. R. Bishop,J. Chem. Phys. 118, 3731 (2003).

    Article  CAS  Google Scholar 

  27. C.-M. Chang, A. H. Castro Neto, and A. R. Bishop, Chem. Phys. 303, 189 (2004).

    Article  CAS  Google Scholar 

  28. J. A. Berashevich, A. D. Bookatz, and T. Chakraborty, J. Phys.: Condens. Matter 20, 5 (2008).

    Google Scholar 

  29. J. A. Berashevich and T. Chakraborty, Chem. Phys. Lett. 446, 159 (2007).

    Article  CAS  Google Scholar 

  30. L. G. D. Hawke, G. Kalosakas, and C. Simserides, Eur. Phys. J. E 32, 291 (2010).

    Article  CAS  PubMed  Google Scholar 

  31. H. Yamada, E. B. Starikov, and D. Hennig, Eur. Phys. J. E 59, 185 (2007).

    CAS  Google Scholar 

  32. G. Kalosakas, Phys. Rev. E 84, 051905 (2011).

    Article  CAS  Google Scholar 

  33. V. M. Kucherov, C. D. Kinz-Thompson, and E. M. Conwell, J. Phys. Chem. C 114, 1663 (2010).

    Article  CAS  Google Scholar 

  34. Z. Qu, D. W. Kang, H. Jiang, and S. J. Xie, Phys. B (Amsterdam, Neth.) 405, 123 (2010).

    Article  CAS  Google Scholar 

  35. G. Triberis, C. Simserides, and V. Karavolas, Phys. E (Amsterdam, Neth.) 32, 592 (2006).

    Article  CAS  Google Scholar 

  36. G. Cuniberti, G. Fagas, and K. Richter, Chem. Phys. 281, 465 (2002).

    Article  CAS  Google Scholar 

  37. T. N. Todorov, J. Phys.: Condens. Matter 14, 3049 (2002).

    CAS  Google Scholar 

  38. Y. Ono and A. Terai, J. Phys. Soc. Jpn. 59, 2893 (1990).

    Article  CAS  Google Scholar 

  39. X. Liu, K. Gao, J. Fu, Y. Li, J. Wei, and S. Xie, Phys. Rev. B 74, 172301 (2006).

    Article  CAS  Google Scholar 

  40. G. Zhang, H. Hu, S. Cui, and Z. Lv, Phys. B (Amsterdam, Neth.) 405, 4382 (2010).

    Article  CAS  Google Scholar 

  41. K. K. Thornber and R. P. Feynman, Phys. Rev. B 1, 4099 (1970).

    Article  Google Scholar 

  42. D. M. Basko and E. M. Conwell, Phys. Rev. Lett. 88, 056401 (2002).

    Article  CAS  PubMed  Google Scholar 

  43. Y. Li, X. Liu, J. Fu, D. Liu, Sh. Xie, and L. Mei, Phys. Rev. B 74, 184303 (2006).

    Google Scholar 

  44. V. N. Likhachev, T. Yu. Astakhova, and G. A. Vinogradov, Khim. Fiz. 32 (4), 3 (2013).

    CAS  Google Scholar 

  45. A. S. Carstea, Chaos, Solitons Fractals 42, 923 (2009).

    Article  CAS  Google Scholar 

  46. T. Yu. Astakhova, V. N. Likhachev, and G. A. Vinogradov, Russ. J. Phys. Chem. B 7, 521 (2013).

    Article  CAS  Google Scholar 

  47. Y.-S. Lim, K.-J. Yee, J.-H. Kim, et al., Nano Lett. 6, 2696 (2006).

    Article  CAS  PubMed  Google Scholar 

  48. T. Feurer, J. C. Vaughan, and K. A. Nelson, Science (Washington, DC, U. S.) 299, 374 (2003).

    Article  CAS  Google Scholar 

  49. J. A. Giordmaine and W. Kaiser, Phys. Rev. 144, 676 (1966).

    Article  CAS  Google Scholar 

  50. K. Sokolowski-Tinten, Ch. Blome, J. Blums, et al., Nature (London, U.K.) 422, 287 (2003).

    Article  CAS  Google Scholar 

  51. A. Tamura, K. Higeta, and T. Ichinokawa, J. Phys. C: Solid State Phys. 15, 4975 (1982).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Yu. Astakhova.

Additional information

Original Russian Text © T.Yu. Astakhova, G.A. Vinogradov, V.A. Kashin, 2018, published in Khimicheskaya Fizika, 2018, Vol. 37, No. 11, pp. 15–24.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Astakhova, T.Y., Vinogradov, G.A. & Kashin, V.A. Effect of External Factors on Physical and Chemical Transformations Polaron in an Electric Field as a Generator of Coherent Lattice Vibrations. Russ. J. Phys. Chem. B 12, 977–986 (2018). https://doi.org/10.1134/S1990793118050147

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1990793118050147

Keywords

Navigation