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

Niels R. Walet·Wojtek J. Zakrzewski
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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 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 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.

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Niels R. Walet, Wojtek J. Zakrzewski. 2005-08-22. A simple model of the charge transfer in DNA-like substances. https://doi.org/10.1088/0951-7715%2F18%2F6%2F011

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