Electron States in a Class of One-Dimensional Random Binary Alloys

Domı́nguez-Adame, F.; Gomez, Ignacio S.; Avakyan, A.; Sedrakyan, D. M.; Sedrakyan, A.

doi:10.1002/1521-3951(200010)221:2<633::aid-pssb633>3.3.co;2-m

Cited by 10 publications

(22 citation statements)

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“…The diluted disordered systems have been recently studied considering the tight-binding quantum model, the classical harmonic chain and the classical electrical TLs. [14][15][16]28,[35][36][37][38][39] For the diluted TLs, it is possible to¯nd a maximum of ðP À 1Þ resonance frequencies, where P is the spatial periodicity of the sites with impurities. In each of the !…”

Section: Diluted Tlsmentioning

confidence: 99%

Disorder–order transitions in diluted and nondiluted direct transmission lines with asymmetric dichotomous noise

Lazo

Humire

Saavedra

2014

Int. J. Mod. Phys. C

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In this work we study the localization properties of diluted and nondiluted disordered direct transmission lines (TLs), when we distribute two values of inductances, L A and L B , according to an asymmetric dichotomous sequence. Using the scaling properties of the participation number D we study the localization properties in the thermodynamic limit. For certain and parameter speci¯c values, which characterize the dichotomous noise, we have found the following limit conditions: lim !1 mð!; ; Þ ! 1:0 or lim !1 mð!; ; Þ ! 1:0, for the appearing of the disorder-order transitions. Here mð!; ; Þ are the slopes of the linear relationships between lnðDÞ and lnðNÞ. In addition, in each ! c resonance frequency generated by the dilution process we demonstrate the existence of extended intermediate states in the thermodynamic limit.

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Section: Diluted Tlsmentioning

confidence: 99%

Disorder–order transitions in diluted and nondiluted direct transmission lines with asymmetric dichotomous noise

Lazo

Humire

Saavedra

2014

Int. J. Mod. Phys. C

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“…Among these models, chains with diluted disorder, another kind of short-range correlation, have attracted renewed interest. [24][25][26][27][28][29] In general, the model consists of two interpenetrating sub-lattices, one composed of random potentials ͑Anderson lattice͒ and the other composed of nonrandom sites of constant potential. Due to the periodicity, special resonant energies appear.…”

Section: Introductionmentioning

confidence: 99%

Vibrational modes in aperiodic one-dimensional harmonic chains

2006

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The present paper addresses the effect of aperiodicity in one-dimensional oscillatory systems. We study the nature of collective excitations in harmonic chains in the presence of aperiodic and pseudorandom mass distributions. Using the transfer matrix method and exact diagonalization on finite chains, we compute the localization length and the participation number of eigenmodes within the band of allowed frequencies. Our numerical calculations indicate that, for aperiodic arrays of masses, a new phase of extended states appears in this model. For pseudorandom masses distribution, all eigenstates remain localized except the uniform mode ͑ =0͒. Solving numerically the Hamilton equations for momentum and displacement of the chain, we compute the spreading of an initially localized energy excitation. We show that, independent of the kind of initial excitation, an aperiodic structure of masses can induce ballistic transport of energy.

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“…therein) and experimental [24,25] concerning analyze of conditions, under which delocalized states can appear. This kind of models with correlated disorder give explanation of high conductivity of polymers such as doped poly-aniline and also describe the transport properties of random semiconductor super- * Electronic address: tsedraky@ictp.trieste.it lattices [16,18,24]. Some transport properties of manymode waveguides with rough surfaces were studied in [26] and the possibility of perfect transmission due to some specific long-range correlations in the surface profiles was investigated.…”

Section: Introductionmentioning

confidence: 99%

“…In section II we study the closed system described by Hamiltonian (1). We use the technique introduced in [16], [17], [18] and further applied to the RDM in [19] in order to investigate the RLDM. We calculate analytically the dimensionless Landauer exponent of the model and compare it with numerical simulations of the Lyapunov exponent ( Fig.2 and Fig.3), calculated iteratively in standard way [29], [30].…”

Section: Introductionmentioning

confidence: 99%

Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder

Sedrakyan

Ossipov

2004

Phys. Rev. B

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The generalization of the dimer model on a two-leg ladder is defined and investigated both, analytically and numerically. For the closed system we calculate the Landauer resistance analytically and found the presence of the point of delocalization at the band center which is confirmed by the numerical calculations of the Lyapunov exponent. We calculate also analytically the localization length index and present the numerical investigations of the density of states (DOS). For the open counterpart of this model the distribution of the Wigner delay times is calculated numerically. It is shown how the localization-delocalization transition manifest itself in the behavior of the distribution.

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Electron States in a Class of One-Dimensional Random Binary Alloys

Cited by 10 publications

References 0 publications

Disorder–order transitions in diluted and nondiluted direct transmission lines with asymmetric dichotomous noise

Disorder–order transitions in diluted and nondiluted direct transmission lines with asymmetric dichotomous noise

Vibrational modes in aperiodic one-dimensional harmonic chains

Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder

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