2004
DOI: 10.1103/physrevb.69.153203
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Extended states in disordered systems: Role of off-diagonal correlations

Abstract: We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constrains. We find that these correlations generate effective conduction channels for finite systems. At a certain golden correlation condition for the hopping amplitudes, we find an extended state for an infinite system. Our model has important implications to charge transport in DNA molecules, and a possible set of experiments in semiconductor superlattices is proposed to verify our… Show more

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Cited by 53 publications
(48 citation statements)
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“…two electronic bands separated by a gap, is against the influence of several factors which are known to play an important role in controlling charge propagation in DNA molecules, such as static and dynamic disorder 47,48,49,50,51,52,53 and environment.…”
Section: 2223mentioning
confidence: 99%
“…two electronic bands separated by a gap, is against the influence of several factors which are known to play an important role in controlling charge propagation in DNA molecules, such as static and dynamic disorder 47,48,49,50,51,52,53 and environment.…”
Section: 2223mentioning
confidence: 99%
“…The influence of disorder for (3) has been investigated in Ref. [85]. Contact effects were studied by Ref.…”
Section: Tight-binding Model Approachesmentioning
confidence: 99%
“…For a DNA chain consisting of AT and GC pairs, Ref. [85] investigates structural and dynamical disorder. Here, in addition to the onsite energies in (3), also the hopping elements t i are chosen according to the specific DNA sequence, which itself, however, consists of random sequences of A,T,G,C nucleotides.…”
Section: Tight-binding Model Approachesmentioning
confidence: 99%
“…The last example has gained momentum and aroused interest recently after the development of the idea of light localization using path-entangled photons [10] and the tailoring of partially coherent light [11]. The variants of the phenomenon, beginning with the concept of geometrically correlated disorder in the distribution of the potentials, the so called random dimer model (RDM) [12], or in the overlap integrals in a tight binding description [13], and moving over to the engineering of continuous bands of extended Bloch-like functions [14][15][16][17][18] in quasi one dimensional disordered or quasiperiodic systems, thus offer exciting physics and the prospects of designing novel devices.…”
Section: Introductionmentioning
confidence: 99%