Numerical study of the one-electron dynamics in one-dimensional systems with short-range correlated disorder

Sales, M.O.; Moura, F. A. B. F. de

doi:10.1016/j.physe.2012.07.014

Cited by 24 publications

(25 citation statements)

References 35 publications

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“…4 these general results are applied to the model analyzed in Ref. 19. We draw our conclusions in Sec.…”

Section: Introductionmentioning

confidence: 82%

“…This explains why the anomaly is suppressed and the standard formula (19), derived under the assumption of a flat distribution for the angle variable, becomes valid.…”

Section: The Hamiltonian Map Approachmentioning

confidence: 90%

“…19. In fact, we were able to derive an analytic expression for the localization length at the band center in the case of weak disorder.…”

Section: Introductionmentioning

confidence: 92%

“…18 to the study of an interesting case which was numerically investigated in Ref. 19. The authors considered the 1D Anderson model with a specific kind of short-range correlated disorder; their numerical analysis revealed that the localization length at the band center could behave in unexpected ways for increasing values of the correlation length of the disorder.…”

Section: Introductionmentioning

confidence: 99%

“…Although the authors of Ref. 19 could not compute the localization length for very large values of the correlation length in the weak disorder regime, they did it for a relatively strong disorder and found that increasing the correlation length leads to more and more extended states at the band center.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

1D Anderson model revisited: Band center anomaly for correlated disorder

Herrera-González

Izrailev

Makarov

et al. 2017

Low Temperature Physics

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“…4 these general results are applied to the model analyzed in Ref. 19. We draw our conclusions in Sec.…”

Section: Introductionmentioning

confidence: 82%

“…This explains why the anomaly is suppressed and the standard formula (19), derived under the assumption of a flat distribution for the angle variable, becomes valid.…”

Section: The Hamiltonian Map Approachmentioning

confidence: 90%

“…19. In fact, we were able to derive an analytic expression for the localization length at the band center in the case of weak disorder.…”

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

1D Anderson model revisited: Band center anomaly for correlated disorder

Herrera-González

Izrailev

Makarov

et al. 2017

Low Temperature Physics

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show abstract

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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Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains

et al. 2020

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The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range. We find that a transition to more delocalized and fragmented eigenstates occurs for intermediate average symmetry domain sizes, depending on the degree of disorder. This is caused by the partial formation of states with approximate local parity confined within fictitious, disorder-induced double wells and perturbed by the coupling to adjacent domains. The dynamical evolution of wave-packets shows that the average site-resolved transfer efficiency is enhanced between regions connected by local symmetry. The transfer may further be drastically amplified in the presence of spatial overlap between the symmetry domains, and in particular when global and local symmetry coexist. Applicable to generic discrete models for matter and light waves, our work provides a perspective to understand and exploit the impact of local order at multiple scales in complex systems.

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Numerical study of the one-electron dynamics in one-dimensional systems with short-range correlated disorder

Cited by 24 publications

References 35 publications

1D Anderson model revisited: Band center anomaly for correlated disorder

1D Anderson model revisited: Band center anomaly for correlated disorder

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

Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains

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