A simple model of the charge transfer in DNA-like substances

DOI10.1088/0951-7715/18/6/011zbMATH Open1125.92303arXivcond-mat/0402059OpenAlexW3099701839WikidataQ57695088 ScholiaQ57695088MaRDI QIDQ5719189

Niels R. Walet, W. J. Zakrzewski

Publication date: 17 January 2006

Published in: Nonlinearity (Search for Journal in Brave)

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

J

, a parameter which relates to the electronic coupling between different molecules on the backbone. For smaller values of

J

we have localised states while at higher values of

J

the soliton field is spread out and through its interaction with the lattice it has stronger effects on the distortion of the lattice.

Full work available at URL: https://arxiv.org/abs/cond-mat/0402059

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Biophysics (92C05) Molecular physics (81V55)