Abstract

Quantum transport for DNA conduction has been widely studied with interest in application as a candidate in making nanowires as well as interest in the scientific mechanism. In this paper, we review recent works concerning the electronic states and the conduction/transfer in DNA polymers. We have mainly investigated the energy-band structure and the correlation effects of localization property in the two- and three-chain systems (ladder model) with long-range correlation as a simple model for electronic property in a double strand of DNA by using the tight-bindingmodel. In addition, we investigated the localization properties of electronic states in several actual DNA sequences such as bacteriophages of Escherichia coli, human-chromosome 22, compared with those of the artificial disordered sequences with correlation. The charge-transfer properties for poly(dA)-poly(dT) and poly(dG)-poly(dC) DNA polymers are also presented in terms of localization lengths within the frameworks of the polaron models due to the coupling between the charge carriers and the lattice vibrations of the double strand of DNA.

Highlights

  • Recent interests on semiconducting DNA polymers have been stimulated by successful demonstrations of the nanoscale fabrication of DNA, where current-voltage (I-V) measurements for poly(dA)-poly(dT) and poly(dG)-poly(dC) DNA polymers have been done [1,2,3,4]

  • Advances in Condensed Matter Physics. Those experiments are summarized as follows: (i) band gap reduction of a double strand of DNA, (ii) transition from the tunneling hopping to the band hopping, (iii) anomalously strong temperature dependence of band gap, (iv) highly nonlinear temperature dependence of the DC conductivity, and (v) low conductivity of DNA with a complicated sequence such as λ-DNA and high conductivity of DNA with a simple sequence such as poly(dG)poly(dC) and poly(dA)-poly(dT)

  • We review the theory of π-electrons in DNA, using the Huckel approximation for π-electrons in both the sugar-phosphate backbone chain and the π-stacking of the nitrogenous bases of nucleotide

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Summary

Introduction

Recent interests on semiconducting DNA polymers have been stimulated by successful demonstrations of the nanoscale fabrication of DNA, where current-voltage (I-V) measurements for poly(dA)-poly(dT) and poly(dG)-poly(dC) DNA polymers have been done [1,2,3,4]. The subsequently low-temperature experiments showed that the radiationinduced conductivity is related to the mobile charge carriers, migrating within frozen-water layers surrounding the DNA helix, rather than through the base-pair core Those experiments are summarized as follows: (i) band gap reduction of a double strand of DNA, (ii) transition from the tunneling hopping to the band hopping, (iii) anomalously strong temperature dependence of band gap, (iv) highly nonlinear temperature dependence of the DC conductivity, and (v) low conductivity of DNA with a complicated sequence such as λ-DNA and high conductivity of DNA with a simple sequence such as poly(dG)poly(dC) and poly(dA)-poly(dT). These polarons in DNA act as donors and acceptors and exhibit an extrinsic semiconductor character of DNA. In appendices we give some calculations and explanations related to main text

Correlated DNA Sequences
HOMO-LUMO Gaps
H Thymine
Effective Polaron Models
Tight-Binding Models for the Ladder Systems
Hole conduction
Conduction and Proton Transfer
Summary and Discussion
Huckel Parameters
Transfer Matrix Method
Transfer Matrices for Ladder Systems
Nonlinear Schrodinger Equation
Coupled Nonlinear Schrodinger Equations
The Lyapunov Exponents and Multichannel Conductance
Modified Bernoulli Map
Full Text
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