A simple model of the charge transfer in DNA-like substances
Soft Condensed Matter
2009-11-10 v2 Pattern Formation and Solitons
Biomolecules
Abstract
We present a very simple model for the study of charge transport in a molecule patterned on B-DNA. In this model we use a discrete non-linear Schr\"{o}dinger equation to describe electrons propagating along the sugar-phosphate backbone of the DNA molecule. We find that in this model, for a given nonlinearity, the transport is controlled by , a parameter which relates to the electronic coupling between different molecules on the backbone. For smaller values of we have localised states while at higher values of the soliton field is spread out and through its interaction with the lattice it has stronger effects on the distortion of the lattice.
Cite
@article{arxiv.cond-mat/0402059,
title = {A simple model of the charge transfer in DNA-like substances},
author = {Niels R. Walet and Wojtek J. Zakrzewski},
journal= {arXiv preprint arXiv:cond-mat/0402059},
year = {2009}
}
Comments
Final version, substrantially revised, with additional material. Nonlinearity, in press