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In many organic molecules the strong coupling of excess charges to vibrational modes leads to the formation of polarons, i.e., a localized state of a charge carrier and a molecular deformation. Incoherent hopping of polarons along the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Benjamin B. Schmidt , Matthias H. Hettler , Gerd Schön

A theoretical study is presented to quantitatively analyze the transport experiment through individual DNA molecules reported recently by Porath {\it et al.} [Nature {\bf 403}, 635 (2000)]. A variety of valuable quantities are identified by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xin-Qi Li , YiJing Yan

An 1d model with time-dependent random hopping is proposed to describe charge transport in DNA. It admits to investigate both diffusion of electrons and their tunneling between different sites in DNA. The tunneling appears to be strongly…

Soft Condensed Matter · Physics 2009-11-07 E. I. Kats , V. V. Lebedev

We study the electrical conductance $G$ and the thermopower $S$ of single-molecule junctions, and reveal signatures of different transport mechanisms: off-resonant tunneling, on-resonant coherent (ballistic) motion, and multi-step hopping.…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Roman Korol , Michael Kilgour , Dvira Segal

We investigate quantum transport characteristics of a ladder model, which effectively mimics the topology of a double-stranded DNA molecule. We consider the interaction of tunneling charges with a selected internal vibrational degree of…

Soft Condensed Matter · Physics 2007-05-23 R. Gutierrez , S. Mohapatra , H. Cohen , D. Porath , G. Cuniberti

Charge migration along DNA molecules has attracted scientific interest for over half a century. Reports on possible high rates of charge transfer between donor and acceptor through the DNA, obtained in the last decade from solution…

Materials Science · Physics 2009-11-10 Danny Porath , Gianaurelio Cuniberti , Rosa Di Felice

We studied the electrical conductivity of DNA samples as function of the number of DNA molecules. We showed that the insulating gap (no current at low voltage) increases from ~1-2 V for bundles and large ropes to ~4-7 V for few DNA…

Soft Condensed Matter · Physics 2007-05-23 Thomas Heim , Dominique Deresemes , Dominique Vuillaume

Mott variable-range hopping is a fundamental mechanism for electron transport in disordered solids in the regime of strong Anderson localization. We give a brief description of this mechanism, recall some results concerning the behavior of…

Probability · Mathematics 2018-06-19 Alessandra Faggionato

The electrical conductance of molecular junctions may strongly depend on the temperature, and weakly on molecular length, under two distinct mechanisms: phase-coherent resonant conduction, with charges proceeding via delocalized molecular…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Hyehwang Kim , Dvira Segal

The current - voltage dependence of the transverse tunneling current through the electron or hole traps in a DNA is investigated. The hopping of the charge between the sites of the trap and the charge-phonon coupling results in a staircase…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. Apalkov , T. Chakraborty

Measurements of electron transfer rates as well as of charge transport characteristics in DNA produced a number of seemingly contradictory results, ranging from insulating behaviour to the suggestion that DNA is an efficient medium for…

Soft Condensed Matter · Physics 2007-05-23 R. Bulla , R. Gutierrez , G. Cuniberti

In this work we investigate the interplay between coherent and incoherent charge transport in cytosine-guanine (GC) rich DNA molecules. Our objective is to introduce physically grounded approach to dephasing in large molecules and to…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Patrick Karasch , Dmitry A. Ryndyk , Thomas Frauenheim

We here present a variable-range hopping model to describe the chirality-induced spin selectivity along the DNA double helix. In this model, DNA is considered as a one-dimensional disordered system, where electrons are transported by chiral…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Ryotaro Sano , Takeo Kato

We study the electronic transport through short DNA chains with various sequences of base pairs between voltage-biased leads. The strong coupling of the charge carriers to local vibrations of the base pairs leads to the formation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Benjamin B. Schmidt , Matthias H. Hettler , Gerd Schön

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 localisation lengths, crudely speaking the length over which…

Genomics · Quantitative Biology 2007-05-23 Daphne Klotsa , Rudolf A. Roemer , Matthew S. Turner

We demonstrate that a simple phenomenological approach can be used to simulate electronic conduction in molecular wires under thermal effects induced by the surrounding environment. This "Landauer-B\"uttiker's probe technique" can properly…

Chemical Physics · Physics 2015-08-25 Michael Kilgour , Dvira Segal

Variable-range hopping transport along short one-dimensional wires and across the shortest dimension of thin three-dimensional films and narrow two-dimensional ribbons is studied theoretically. Geometric and transport characteristics of the…

Disordered Systems and Neural Networks · Physics 2011-10-13 A. S. Rodin , M. M. Fogler

Motivated by the wide ranging experimental results on the conductivity of DNA, we have investigated extraordinary configurations and chemical environments in which DNA might become a true molecular wire, perticularly from enhanced…

Soft Condensed Matter · Physics 2009-09-29 R. G. Endres , D. L. Cox , R. R. P. Singh

We develop a theory of a variable range hopping transport in granular conductors based on the sequential electron tunnelling through many grains in the presence of the strong Coulomb interaction. The processes of quantum tunnelling of real…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Beloborodov , A. V. Lopatin , V. M. Vinokur , V. I. Kozub

We present a short review of various experiments that measure charge transfer and charge transport in DNA. Some general comments are made on the possible connection between 'chemistry-style' charge transfer experiments that probe…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. P. Armitage , M. Briman , G. Gruner
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