Abstract
In this work, we study the power laws and fractal properties of the energy spectrum in single-strand DNA stretches composed of pure GAs (Adenines and Guanines) sequences found in human chromosome 7. We have used the transfer matrix method for the tightbinding Hamiltonian to find the electronic energy distribution of this one-dimensional system. We obtain the energy spectra and calculate total energy as a function of site index n in the single-strand chain to characterize the fractality of the energy distribution. To investigate the multifractal behavior of energy bands, we have determined the singularity spectrum f (alpha) using an algorithm based on Shannon, Eggelston, and Billingsley theorems. Our results show that the energy spectra exhibit a double power law. It is revealed a fractal behavior similar to the random Cantor set, with the formation of energy minibands, when n increases.
NSTL
Elsevier