Electron localization in a two-channel tight-binding model with correlated disorder

Bagci, V. M. K.; Krokhin, Arkadii

doi:10.1103/physrevb.76.134202

Cited by 26 publications

(32 citation statements)

References 38 publications

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“…[32,33]. As for the correlated disorder, the general solution has been obtained for the two-chain model only 19 .…”

Section: Correlated Non-stratified Disordermentioning

confidence: 99%

“…Indeed, for any of the q−th channels the windows of transparency are defined by the energy shifted in accordance with Eq. (19). Specifically, for each channel there are three transparent energy windows given by Eq.…”

Section: B Numerical Datamentioning

confidence: 99%

“…Among the setups studied in this direction one can mention the tight-binding Anderson model with two-coupled chains 19 , the models with stratified or layered disorder 20,21 , and multi-mode waveguides with long-range correlations in surface profiles 20,22 .…”

Section: Introductionmentioning

confidence: 99%

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Transport through quasi-one-dimensional wires with correlated disorder

Herrera-González

2014

Phys. Rev. E

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We study transport properties of bulk-disordered quasi-one-dimensional (Q1D) wires paying main attention to the role of long-range correlations embedded into the disorder. First, we show that for stratified disorder for which the disorder is the same for all individual chains forming the Q1D wire, the transport properties can be analytically described provided the disorder is weak. When the disorder in every chain is not the same, however, has the same binary correlator, the general theory is absent. Thus, we consider the case when only one channel is open and all others are closed. For this situation we suggest a semi-analytical approach which is quite effective for the description of the total transmission coefficient. Our numerical data confirm the validity of our approach. Such Q1D disordered structures with anomalous transport properties can be the subject of an experimental study.

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“…[32,33]. As for the correlated disorder, the general solution has been obtained for the two-chain model only 19 .…”

Section: Correlated Non-stratified Disordermentioning

confidence: 99%

Section: B Numerical Datamentioning

confidence: 99%

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Transport through quasi-one-dimensional wires with correlated disorder

Herrera-González

2014

Phys. Rev. E

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“…Particularly, the simple problem of the electron dynamics in two-channel structures has been the focus of several works [17][18][19][20][21]. The well known random dimer model [2] was generalized to the ladder case and a delocalized state at the band center was obtained [17].…”

Section: Introductionmentioning

confidence: 99%

Localization on a two-channel model with cross-correlated disorder

Carvalho

Lyra

Moura

et al. 2011

J. Phys.: Condens. Matter

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We study the wave-packet dynamics in a two-channel Anderson model with correlated diagonal disorder. To impose correlations in the disorder distribution we construct the on-site energy landscape following both symmetry and antisymmetric rules. The dynamics of an initially localized wave packet is investigated by solving numerically the time-dependent Schrödinger equation. Our numerical data show that symmetric cross correlations have a small impact on the degree of localization of the one-particle eigenstates. In contrast, antisymmetric correlations lead to an effective reduction of the effective degree of disorder, specially in the strong coupling regime, thus resulting in a substantial increase of the wave-packet spread. A finite size scaling analysis shows that the antisymmetric cross correlations, in spite of weakening the localization, do not promote ballistic transport. Theoretical explanations to the effect of cross-correlations in the wave-packet dynamics are provided.

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“…The class of correlators valid for this procedure includes not only exponentially decaying correlators but also correlators with inverse-power-law decay. The latter class of correlators are necessary for modeling DNA sequences [13,16,[27][28][29][30], anomalous diffusion [6,31], and dynamics of complex networks [32].…”

Section: Introductionmentioning

confidence: 99%

Iterative method for generating correlated binary sequences

Usatenko

Apostolov

et al. 2014

Phys. Rev. E

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We propose a new efficient iterative method for generating random correlated binary sequences with prescribed correlation function. The method is based on consecutive linear modulations of initially uncorrelated sequence into a correlated one. Each step of modulation increases the correlations until the desired level has been reached. Robustness and efficiency for the proposed algorithm are tested by generating sequences with inverse power-law correlations. The substantial increase in the strength of correlation in the iterative method with respect to the single-step filtering generation is shown for all studied correlation functions. Our results can be used for design of disordered superlattices, waveguides, and surfaces with selective transport properties.

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Electron localization in a two-channel tight-binding model with correlated disorder

Cited by 26 publications

References 38 publications

Transport through quasi-one-dimensional wires with correlated disorder

Transport through quasi-one-dimensional wires with correlated disorder

Localization on a two-channel model with cross-correlated disorder

Iterative method for generating correlated binary sequences

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