Periodic, quasi-periodic, fractal, Kolakoski and random binary polymers: Energy structure and carrier transport

Abstract

We study periodic, quasi-periodic (Thue-Morse, Fibonacci, Period Doubling, Rudin-Shapiro), fractal (Cantor, generalized Cantor), Kolakoski and random binary sequences using a tight-binding wire model, where a site is a monomer (e.g., in DNA, a base pair). We use B-DNA as our prototype system. All sequences have purines, guanine (G) or adenine (A) on the same strand, i.e., our prototype binary alphabet is (G,A). Our aim is to examine the influence of sequence intricacy and magnitude of parameters on energy structure, localization and charge transport. We study quantities such as autocorrelation function, eigenspectra, density of states, Lyapunov exponents, transmission coefficients and current-voltage curves. We show that the degree of sequence intricacy and the presence of correlations decisively affect the aforementioned physical properties. Periodic segments have enhanced transport properties. Specifically, in homogeneous sequences transport efficiency is maximum. There are several deterministic aperiodic sequences that can support significant currents, depending on the Fermi level of the leads. Random sequences is the less efficient category.

arXiv comment19 pages, 12 figures

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Cited by in corpus (5)

• Quasi-periodic and fractal polymers: Energy structure and carrier transfer
• Charge transport in a multi-terminal DNA tetrahedron: Interplay among contact position, disorder, and base-pair mismatch
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Spin-dependent transport in a driven noncolinear antiferromagnetic fractal network
• Superconducting order parameter in aperiodic binary systems