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

Walet, N.; Zakrzewski, W.J.

Authors

N. Walet

W.J. Zakrzewski



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 nonlinear Schrödinger 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 the different molecules on the backbone. For smaller values of J we have localized 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.

Citation

Walet, N., & Zakrzewski, W. (2005). A simple model of the charge transfer in DNA-like substances. Nonlinearity, 18(6), 2615-2636. https://doi.org/10.1088/0951-7715/18/6/011

Journal Article Type Article
Publication Date 2005-11
Deposit Date Apr 24, 2007
Journal Nonlinearity
Print ISSN 0951-7715
Electronic ISSN 1361-6544
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 18
Issue 6
Pages 2615-2636
DOI https://doi.org/10.1088/0951-7715/18/6/011