The European Physical Journal B

, Volume 59, Issue 2, pp 185–192 | Cite as

Quantum diffusion in polaron model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers

Mesoscopic and Nanoscale Systems

Abstract.

We numerically investigate quantum diffusion of an electron in a model of poly(dG)-poly(dC) and poly(dA)-poly(dT) DNA polymers with fluctuation of the parameters due to the impact of colored noise. The randomness is introduced by fluctuations of distance between two consecutive bases along the stacked base pairs. We demonstrate that in the model the decay time of the correlation can control the spread of the electronic wavepacket. Furthermore it is shown that in a motional narrowing regime the averaging over fluctuation causes ballistic propagation of the wavepacket, and in the adiabatic regime the electronic states are affected by localization.

PACS.

87.15.-v Biomolecules: structure and physical properties 63.20.Kr Phonon-electron and phonon-phonon interaction 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a recent review, see, for example, D. Porath, G. Cuniberti, R. Di Felice, Top. Curr. Chem. 237, 183 (2004) Google Scholar
  2. P. Tran, B. Alavi, G. Gruner, Phys. Rev. Lett. 85, 1564 (2000) CrossRefADSMathSciNetGoogle Scholar
  3. D.K. Campbell, S. Flach, Y.S. Kivshar, Physics Today, Jan. 43 (2004) Google Scholar
  4. Z. Hermon, S. Caspi, E. Ben-Jacob, Europhys. Lett. 43, 482 (1998) CrossRefADSGoogle Scholar
  5. D.N. LeBard, M. Lilichenlo, Yu.A. Berlin, M.A. Ratner, J. Phys. Chem. B 107, 14509 (2003) CrossRefGoogle Scholar
  6. S. Roche, Phys. Rev. Lett. 91, 108101 (2003); S. Roche, D. Bicout, E. Macia, E. Kats, Phys. Rev. Lett. 91, 22810 (2003) CrossRefADSGoogle Scholar
  7. K. Iguchi, Int. J. Mod. Phys. B 17, 2565 (2003) CrossRefADSGoogle Scholar
  8. H. Yamada, Int. J. Mod. Phys. B 18, 1697 (2004); Phys. Lett. A 332, 65 (2004) CrossRefADSGoogle Scholar
  9. A.V. Malyshev, Phys. Rev. Lett. 98, 096801 (2007) CrossRefADSGoogle Scholar
  10. E.M. Conwell, S.V. Rakhmanova, Proc. Natl. Acad. Sci. USA 97, 4556 (2000) CrossRefADSGoogle Scholar
  11. W. Saenger, Principles of Nucleic Acid Structure (Springer, New York, 1984) Google Scholar
  12. R. Shusterman, S. Alon, T. Gavrinyov, O. Krichevsky, Phys. Rev. Lett. 92, 048303 (2004) CrossRefADSGoogle Scholar
  13. B.J. Bern, R. Pecora, Dynamic Light Scattering (Wiley, New York, 1976) Google Scholar
  14. E.B. Starikov, Phil. Mag. 85, 3435 (2005) CrossRefADSGoogle Scholar
  15. E.M. Conwell, D.M. Basko, Synthetic Metals 137, 1381 (2003) CrossRefGoogle Scholar
  16. D. Hennig, Euro. Phys. J. B 30, 211 (2002); D. Hennig, J.F.R. Archilla, J. Agarwal, Physica D 180, 256 (2003) CrossRefADSGoogle Scholar
  17. F. Palmero, J.F.R. Archilla, D. Hennig, F.R. Romero, New J. Phys. 6, 13 (2004) CrossRefADSGoogle Scholar
  18. C. Chang, A.H.C. Neto, A.R. Bishop, Chem. Phys. 115, 4169 (2004) Google Scholar
  19. E.I. Kats, V.V. Lebedev, JETP Lett. 75, 37 (2002) CrossRefADSMathSciNetGoogle Scholar
  20. H. Yamada, E.B. Starikov, D. Hennig, J.F.R. Archilla, Eur. Phys. J. E 17, 149 (2005) CrossRefGoogle Scholar
  21. A. Troisi, G. Orlandi, J. Phys. Chem. B 106, 2093 (2002) CrossRefGoogle Scholar
  22. S. Tanaka, Y. Sengoku, Phys. Rev., E 68, 031905 (2003) Google Scholar
  23. J.P. Lewis, Th. E. Cheatham, E.B. Starikov, H. Wang, O.F. Sankey, J. Phys. Chem. B 107, 2581 (2003) CrossRefGoogle Scholar
  24. A.A. Voityuk, K. Siriwong, N. Roch, Angew. Chem. Int. Ed. 43, 624 (2004) CrossRefGoogle Scholar
  25. E.B. Starikov, T. Fujita, H. Watanabe, Y. Sengoku, S. Tanaka, W. Wenzel, Mol. Simul. 32, 759 (2006) CrossRefGoogle Scholar
  26. J. Matulewski, S.D. Baranovskii, P. Thomas, Phys. Chem. Chem. Phys. 7, 1514 (2005) CrossRefGoogle Scholar
  27. S. Sakamoto, Y. Ohmachi, M. Tomiya, J. Physics: Conf. Series 61, 1012 (2007) CrossRefADSGoogle Scholar
  28. A. Berthelot, I. Favero, G. Cassabois, C. Voisin, C. Delalande, Ph. Roussignol, R. Ferreira, J.M. Gerard, Nature Phys. 2, 759 (2006). CrossRefADSGoogle Scholar
  29. B.Q. Xu, P.M. Zhang, X.L. Li, N.J. Tao, Nano Lett. 4, 1105 (2004) CrossRefGoogle Scholar
  30. H. Cohen, C. Nogues, R. Naaman, D. Porath, Proc. Natl. Acad. Sci. USA 102, 11589 (2005) CrossRefADSGoogle Scholar
  31. H. van Zalinge, D.J. Schiffrin, A.D. Bates, E.B. Starikov, W. Wenzel, R.J. Nichols, Angew. Chem. Int. Ed. 45, 5499 (2006) CrossRefGoogle Scholar
  32. S.K. Mandal, Appl. Phys. Lett. 89, 193102 (2006) CrossRefADSGoogle Scholar
  33. D. Hennig, E. Starikov, J.F.R. Archilla, F. Palmero, J. Biol. Phys. 30, 227 (2004) CrossRefGoogle Scholar
  34. H. Sumi, J. Chem. Phys. 67, 2943 (1977) CrossRefADSGoogle Scholar
  35. Y. Inaba, J. Phys. Soc. Jpn. 50, 2473 (1981); 52, 3144 (1983) CrossRefADSGoogle Scholar
  36. H. Ezaki, F. Shibata, Physica A 176, 581 (1991) CrossRefADSGoogle Scholar
  37. M.A. Palenberg, R.J. Silbey, M. Malagoli, J.-L. Bredas, J. Chem. Phys. 112, 1541 (2000) CrossRefADSGoogle Scholar
  38. L. Baratosch, Int. J. Mod. Phys. B 12, 851 (2001) CrossRefADSGoogle Scholar
  39. H. Haken, G. Strobl, Z. Phys. 262, 135 (1973) CrossRefMathSciNetGoogle Scholar
  40. K. Noba, Y. Kayanuma, K. Nojima, Int. J. Mod. Phys. B 15, 3908 (2001) CrossRefADSGoogle Scholar
  41. N.G. van Kampen, J. Stat. Phys. 54, 1289 (1989) CrossRefGoogle Scholar
  42. F.A.B.F. de Moura, Marcelo L. Lyra, Phys. Rev. Lett. 81, 3735 (1998); Phys. Rev. Lett. 84, 199 (2000) CrossRefADSGoogle Scholar
  43. L.I. Deych, M.V. Erementchouk, A.A. Lisyansky, Phys. Rev. B 67, 024205 (2003) CrossRefADSGoogle Scholar
  44. F. Dominguez-Adame, V.A. Malyshev, F.A.B.F. de Moura, M.L. Lyra, Phys. Rev. Lett. 91, 197402 (2003) CrossRefADSGoogle Scholar
  45. D. Cohen, Phys. Rev. Lett. 67, 1945 (1991) MATHCrossRefADSMathSciNetGoogle Scholar
  46. H. Onishi, S. Miyashita, J. Phys. Soc. Jpn. 72, 392 (2003) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Yamada Physics Research LaboratoryNiigataJapan
  2. 2.Institut für Nanotechnologie Forschungszentrum Karlsruhe Postfach3640KarlsruheGermany
  3. 3.Humboldt Universität zu Berlin, Institut für PhysikBerlinGermany

Personalised recommendations