Metal–insulator transition in chains with correlated disorder

Carpena, Pedro; Bernaola‐Galván, Pedro; Ivanov, Plamen Ch.; Stanley, H. Eugene

doi:10.1038/nature00948

Cited by 208 publications

(167 citation statements)

References 29 publications

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“…Usually, tight-binding Hamiltonians are employed to describe electronic structures of DNA duplexes -both explicitly (in the form of the "fishbone", "ladder" and similar models -see, for example, [51,53,58,60,[64][65][66][67][68][69][70][71][72] and the pertinent review articles [3,[73][74][75][76][77] ) and implicitly (within the framework of Marcus-type theories of charge transfer, for example, [55,[78][79][80][81] and the references therein). These works were successful in qualitatively (and sometimes even quantitatively) describing numerous experimental data (see, for example, [42,56,57,82,83] and the references therein) on transfer of injected single holes (or injected single electrons) through DNA duplexes.…”

Section: Critical Assessment Of the Biopolymer Charge Transfer/transpmentioning

confidence: 99%

Electrical Conductance in Biological Molecules

Shinwari

Deen

Starikov

et al. 2010

Adv Funct Materials

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Nucleic acids and proteins are not only biologically important polymers: They have recently been recognized as novel functional materials surpassing in many aspects the conventional ones. Although Herculean efforts have been undertaken to unravel fine functioning mechanisms of the biopolymers in question, there is still much more to be done. This particular paper presents the topic of biomolecular charge transport, with a particular focus on charge transfer/transport in DNA and protein molecules. Here the experimentally revealed details, as well as the presently available theories, of charge transfer/transport along these biopolymers are critically reviewed and analyzed. A summary of the active research in this field is also given, along with a number of practical recommendations.)Received: ((will be filled in by the editorial staff))Revised: ((will be filled in by the editorial staff))

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Section: Critical Assessment Of the Biopolymer Charge Transfer/transpmentioning

confidence: 99%

Electrical Conductance in Biological Molecules

Shinwari

Deen

Starikov

et al. 2010

Adv Funct Materials

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“…35 It was argued also that long-range correlations in DNA sequences can explain the long-distance charge transport in these systems. 10,18,20,36 The 1 / k ␣ law has also its trace in energy level statistics. 15 All said above unambiguously testifies that studying the properties of disordered systems with long-range-correlated disorder is an attention grabbing task.…”

Section: Introductionmentioning

confidence: 99%

Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder

et al. 2006

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We study numerically the linear optical response of a quasiparticle moving on a one-dimensional disordered lattice in the presence of a linear bias. The random site potential is assumed to be long-range correlated with a power-law spectral density S͑k͒ϳ1/k ␣ , ␣ Ͼ 0. This type of correlation results in a phase of extended states at the band center, provided ␣ is larger than a critical value ␣ c ͓F. A. B. F. de Moura and M. L. Lyra, Phys. Rev. Lett. 81, 3735 ͑1998͔͒. The width of the delocalized phase can be tested by applying an external electric field: Bloch-like oscillations of a quasiparticle wave packet are governed by the two mobility edges, playing now the role of band edges ͓F. Domínguez-Adame et al., Phys. Rev. Lett. 91, 197402 ͑2003͔͒. We demonstrate that the frequency-domain counterpart of these oscillations, the so-called Wannier-Stark ladder, also arises in this system. When the phase of extended states emerges in the system, this ladder turns out to be a comb of doublets, for some range of disorder strength and bias. Linear optical absorption provides a tool to detect this level structure.

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“…The relevance of the underlying long-range correlations for the electronic transport in DNA has been recently discussed in Ref. [13]. Furthermore, interface roughness appearing during growth often displays height-height correlations with power-law spectra [14]; thus, the subsequent random potential arising from the rough interface would be long-range correlated.…”

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confidence: 99%

Bloch-Like Oscillations in a One-Dimensional Lattice with Long-Range Correlated Disorder

et al. 2003

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We study the dynamics of an electron subjected to a uniform electric field within a tight-binding model with long-range-correlated diagonal disorder. The random distribution of site energies is assumed to have a power spectrum S(k) ∼ 1/k α with α > 0. Moura and Lyra [Phys. Rev. Lett. 81, 3735 (1998)] predicted that this model supports a phase of delocalized states at the band center, separated from localized states by two mobility edges, provided α > 2. We find clear signatures of Bloch-like oscillations of an initial Gaussian wave packet between the two mobility edges and determine the bandwidth of extended states, in perfect agreement with the zero-field prediction.PACS numbers: 78.30.Ly; 71.30.+h; 73.20.Jc; 72.15.Rn The single-parameter scaling hypothesis predicts localization of a single quasiparticle in one (1D) and two dimensions with time-reversal symmetry, independently of the disorder strength present in the system [1]. There exist, however, low-dimensional systems that do not obey the single-parameter scaling framework. Thus, the absence of Anderson localization in the presence of spatial short-range correlations in disorder [2,3] was put forward to explain transport properties of semiconductor superlattices with intentional correlated disorder [4]. Further, it was demonstrated that long-range correlated diagonal [5,6] and off-diagonal [7] disorder also acts towards delocalization of 1D quasiparticle states. Furthermore, long-range correlations can result in the emergence of a phase of extended states in the thermodynamic limit. This phase appears at the band center and is separated from localized states by two mobility edges [5]. This theoretical prediction was experimentally validated by measuring microwave transmission spectra of a single-mode waveguide with inserted correlated scatterers [8]. In the case of short-range correlated disorder the delocalized phase does not appear: the number of delocalized states increases proportionally to the square root of the system size, and thus this phase has zero measure in the thermodynamic limit.In this Letter we focus on the dynamical properties of an electron in a system with long-range correlated diagonal disorder. Interplay between the delocalization effect, preserved by the long-range correlated disorder, and the dynamic localization, caused by an electric field acting on the system, is of our interest. We compute the behavior of an initial Gaussian wave packet in the presence of a uniform electric field solving numerically the 1D timedependent Schrödinger equation for the complete Hamiltonian. We found clear signatures of Bloch-like oscillations [9] of the wave packet between the two mobility * On leave from "S.I. Vavilov State Optical Institute", Birzhevaya Linia 12, 199034 Saint-Petersburg, Russia edges of the delocalized phase of states. The amplitude of the oscillatory motion of the centroid allows us to determine the bandwidth of the delocalized phase.We consider a tight-binding Hamiltonian with longrange-correlated diagonal disorder and an ext...

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Metal–insulator transition in chains with correlated disorder

Cited by 208 publications

References 29 publications

Electrical Conductance in Biological Molecules

Electrical Conductance in Biological Molecules

Wannier-Stark ladder in the linear absorption of a random system with scale-free disorder

Bloch-Like Oscillations in a One-Dimensional Lattice with Long-Range Correlated Disorder

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