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

Niels R. Walet, Wojtek J. Zakrzewski

    Research output: Contribution to journalArticlepeer-review

    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. © 2005 IOP Publishing Ltd and London Mathematical Society.
    Original languageEnglish
    Pages (from-to)2615-2636
    Number of pages21
    JournalNonlinearity
    Volume18
    Issue number6
    DOIs
    Publication statusPublished - 1 Nov 2005

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