Eur. Phys. J. B 59, 185-192 (2007)
https://doi.org/10.1140/epjb/e2007-00274-4

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

¹ Yamada Physics Research Laboratory, Aoyama 5-7-14-205, Niigata, 950-2002, Japan
² Institut für Nanotechnologie Forschungszentrum Karlsruhe Postfach3640, 70621 Karlsruhe, Germany
³ Humboldt Universität zu Berlin, Institut für Physik, Newtonstr. 15, 12489 Berlin, Germany

Corresponding authors: ^a hyamada@uranus.dti.ne.jp - ^b starikow@chemie.fu-berlin.de - ^c hennigd@physik.fu-berlin.de

Received: 20 May 2007
Published online: 10 October 2007

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.