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Rudolf A Römer

Publications and source records attributed to Rudolf A Römer.

2 recordsLinked to original sources

Electronic transport in DNA.

We study the electronic properties of DNA by way of a tight-binding model applied to four particular DNA sequences. The charge transfer properties are presented in terms of localization lengths (crudely speaking, the length over which electrons travel). Various types of disorder, including random potentials, are employed to account for different real environments. We have performed calculations on poly(dG)-poly(dC), telomeric-DNA, random-ATGC DNA, and lambda-DNA. We find that random and lambda-DNA have localization lengths allowing for electron motion among a few dozen basepairs only. A novel enhancement of localization lengths is observed at particular energies for an increasing binary backbone disorder. We comment on the possible biological relevance of sequence-dependent charge transfer in DNA.

Base Sequence↗

Numerical study of eigenvector statistics for random banded matrices.

The statistics of eigenvector amplitudes near the band center in random-banded-matrix ensembles is studied numerically. The nonlinear sigma model provides a rigorous description of the statistics in these ensembles. We are interested in the extension of the predictions of the sigma model approach to complex quantum systems. We study the validity range of the perturbation theory beginning from the well-known formulas in random matrix theory.

Journal Article↗