Coherent electronic dynamics and absorption spectra in an one-dimensional model with long-range correlated off-diagonal disorder

Assunção, T. F.; Lyra, M. L.; Moura, F. A. B. F. de; Domı́nguez-Adame, F.

doi:10.1016/j.physleta.2011.01.001

Cited by 16 publications

(10 citation statements)

References 32 publications

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“…We note that only for α and β larger than 2 we are to obtain the rescaled participation number ξ 0 /N ≈ 0.58 (2) which is very close to the corresponding value of extended states in ordered chains with open-boundary conditions, that is 2/3. Our outcomes are also in agreement with the rescaled participation number for extended states in disordered systems found elsewhere [22,24,32]. Furthermore, it is relevant to point out that, generally speaking, γ is is related to the so-called Hurst exponent H through H = (γ − 1)/2 which describes the long-term memory of a given series.…”

Section: Localization Propertiessupporting

confidence: 89%

“…On the theoretical side, the Anderson model with long-range correlated hopping fluctuations (off-diagonal disorder) was studied in Refs. [20,32]. Likewise, it was found that strong correlations promote the appearance of a phase of extended states close to the center of the band.…”

Section: Introductionmentioning

confidence: 88%

“…That could explain to a great extent some unusual transport properties of several types of polymers [17,18]. Right after this discovery, a handful of works came along to investigate the role of disorder correlations, either short-or long-ranged, in wide variety of physical systems [19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40]. Particularly, it was shown in Refs.…”

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

Localization properties and high-fidelity state transfer in hopping models with correlated disorder

et al. 2018

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We investigate a tight-binding electronic chain featuring diagonal and offdiagonal disorder, these being modelled through the long-range-correlated fractional Brownian motion. Particularly, by employing exact diagonalization methods, we evaluate how the eigenstate spectrum of the system and its related single-particle dynamics respond to both competing sources of disorder. Moreover, we report the possibility of carrying out efficient end-to-end quantum-state transfer protocols even in the presence of such generalized disorder due to the appearance of extended states around the middle of the band in the limit of strong correlations.

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Section: Localization Propertiessupporting

confidence: 89%

Section: Introductionmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 96%

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Localization properties and high-fidelity state transfer in hopping models with correlated disorder

et al. 2018

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“…We emphasize that in disordered models traditionally is obtained a single peak around the lower state. 64,65 To understand this new set of peaks of the absorption spectrum we will need to study in details the local properties of the diagonal disorder and apply a heuristic procedure. 64 Let us start by remembering that the parameter b governs the probability distribution of each value À; 0; of the diagonal distribution.…”

Section: Resultsmentioning

confidence: 99%

Absorption Spectra and Level Spacing Statistics in a Ternary Alloy With an Ornstein–uhlenbeck Disorder Distribution

Sales

Assunção

Albuquerque

et al. 2014

Int. J. Mod. Phys. C

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In this paper, we study the dynamics of a one-electron in a one-dimensional (1d) alloy with a correlated Ornstein-Uhlenbeck (OU) disorder distribution. The model considered here corresponds to an alloy with three types of atoms where the position of each atom is obtained using a stochastic rule based on the OU process. We analyze in detail the e®ect of this correlated disorder in the optical absorption spectrum and the level spacing statistics near the band center. Our results reveal a new collection of optical absorption peaks. We explain in details the appearance of each peak. Our calculations about the level spacing's distribution reveals a Poisson distribution thus contradicting previous statements about the existence of extended states in ternary electronic models with correlated disorder distribution.

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“…We consider the problem of a one-electron moving on a disordered chain under the influence of a static electric field. The electronic Hamiltonian in our model is given by [19,20] H ¼…”

Section: Model and Formalismmentioning

confidence: 99%

Wave‐Packet Dynamics in Chains with Disorder‐Type Ornstein–Uhlenbeck and Static Electric Field

Soares

Neto

Sales

et al. 2020

Physica Status Solidi (b)

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Herein, the electronic dynamics in a 1D model with correlated disorder and under the influence of a static electric field is considered. In the framework, the diagonal disorder is obtained from an Ornstein–Uhlenbeck (OU) process. The Schrödinger equation considering an initial Gaussian wave packet with width l located at the center of chain will be solved. To understand the competition between the OU‐like disorder and the electric field, the time evolution of the electronic mean position is calculated. The results suggest that chains with diagonal disorder generated from OU process with small viscosity coefficient seem to exhibit apparent Bloch oscillations (BO) with dominant frequency roughly ω ≈ E. In addition, the stability of these apparent BO along the time is investigated.

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Coherent electronic dynamics and absorption spectra in an one-dimensional model with long-range correlated off-diagonal disorder

Cited by 16 publications

References 32 publications

Localization properties and high-fidelity state transfer in hopping models with correlated disorder

Localization properties and high-fidelity state transfer in hopping models with correlated disorder

Absorption Spectra and Level Spacing Statistics in a Ternary Alloy With an Ornstein–uhlenbeck Disorder Distribution

Wave‐Packet Dynamics in Chains with Disorder‐Type Ornstein–Uhlenbeck and Static Electric Field

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