Conducting to non-conducting transition in dual transmission lines using a ternary model with long-range correlated disorder

Lazo, E.; Díez, E.

doi:10.1016/j.physleta.2010.06.031

Cited by 26 publications

(24 citation statements)

References 37 publications

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“…In electrical transmission lines, the transition from localized state to extended one, using the Fourier filtering method and the ternary map to generate longrange correlation, has been studied in Ref. [23].…”

Section: The Symmetric Ternary Modelmentioning

confidence: 99%

“…In addition, we have shown that changing the kind of long-range correlated sequence from the FFM (used in Ref. [23] and which depends on a single parameter) to the OU process (which depends on two parameters), maintains the dynamics of bands and gaps but in a richer way due to the increased number of parameters, but also find important differences in the shape of the phase diagrams of the various cases studied. These are the fundamental results of this article.…”

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confidence: 91%

“…, ω n , is possible to find the TL in the conducting state. For long-range correlated disorder in the distribution of capacitances, it is possible to find bands of allowed frequencies ω in between forbidden bands, for which the TL is in the conducting state [23].…”

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confidence: 99%

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Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

Lazo

Díez

2011

Physics Letters A

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Section: The Symmetric Ternary Modelmentioning

confidence: 99%

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confidence: 91%

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Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

Lazo

Díez

2011

Physics Letters A

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“…In general, previous works about correlated disorder were done considering systems in which the site energies are uniformly distributed in a¯nite range ½ÀW ; W . Some authors 44,45,[59][60][61] have considered models where the onsite energy can assume two or three di®erent values i.e., the binary and ternary models, respectively. In particular, the Anderson model with long-range correlated disorder chosen as a ternary sequence was studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…45 The e®ect of long-range correlations in the sequence of capacitances of classical transmission lines (TL) has been studied by Lazo and Diez. 59,60 To generate the ternary correlated distribution of capacitances it was used the Fourier¯ltering method 59 and also the Ornstein-Uhlenbeck (OU) process. 60 In both cases, it was observed a transition from nonconducting to conducting state of the TL induced by strong correlations.…”

Section: Introductionmentioning

confidence: 99%

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

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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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Localization in one-dimensional tight-binding model with chaotic binary sequences

Yamada¹

2018

Chaos, Solitons & Fractals

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We have numerically investigated localization properties in the one-dimensional tight-binding model with chaotic binary on-site energy sequences generated by a modified Bernoulli map with the stationary-nonstationary chaotic transition (SNCT). The energy sequences in question might be characterized by their correlation parameter B and the potential strength W. The quantum states resulting from such sequences have been characterized in the two ways: Lyapunov exponent at band centre and the dynamics of the initially localized wavepacket. Specifically, the B−dependence of the relevant Lyapunov exponent's decay is changing from linear to exponential one around the SNCT (B ≃ 2). Moreover, here we show that even in the nonstationary regime, mean square displacement (MSD) of the wavepacket is noticeably suppressed in the long-time limit (dynamical localization). The B−dependence of the dynamical localization lengths determined by the MSD exhibits a clear change in the functional behaviour around SNCT, and its rapid increase gets much more moderate one for B ≥ 2. Moreover we show that the localization dynamics for B > 3/2 deviates from the one-parameter scaling of the localization in the transient region.

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Conducting to non-conducting transition in dual transmission lines using a ternary model with long-range correlated disorder

Cited by 26 publications

References 37 publications

Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

Conducting properties of classical transmission lines with Ornstein–Uhlenbeck type disorder

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

Localization in one-dimensional tight-binding model with chaotic binary sequences

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