Maciá Barber, Enrique Alfonso2023-06-202023-06-202006-121098-012110.1103/PhysRevB.74.245105https://hdl.handle.net/20.500.14352/52104©2006 The American Physical Society. I warmly thank E. Artacho, R. Gutiérrez, S. Roche, and E. B. Starikov for sharing useful information. I acknowledge M. V. Hernández for a critical reading of the manuscript. This work has been supported by the Universidad Complutense de Madrid through Project No. PR27/05-14014-BSCH.We consider a class of synthetic DNA molecules based on a quasiperiodic arrangement of their constituent nucleotides. Making use of a two-step renormalization scheme the double-stranded DNA molecule is modeled in terms of a one-dimensional effective Hamiltonian, which includes contributions from the nucleobase system, the sugar-phosphate backbone, and the environment. Analytical results for the energy spectrum structure and Landauer conductance of Fibonacci DNA approximants are derived and compared with those corresponding to periodic polyGACT-polyCTGA chains. The main effect of quasiperiodic order is the emergence of a highly fragmented energy spectrum, introducing a characteristic low-energy scale in the electronic structure of aperiodic DNA chains. The presence of a series of high-conductance peaks in the transmission spectra of Fibonacci approximants indicates the existence of extended states in these systems. These results open perspectives for experimental work in nanodevices based on synthetic DNA.engjournal articlehttp://dx.doi.org/10.1103/PhysRevB.74.245105https://journals.aps.orgopen access538.9Long-range correlationsMetal-insulator-transitionQuasi-periodic latticesTight-binding modelCharge-transportElectrical-transportDouble helixLambda-DNALocalization propertiesCorrelated disorderFísica de materialesFísica del estado sólido2211 Física del Estado Sólido