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>3.0.co;2-v

Cited by 24 publications

(6 citation statements)

References 22 publications

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“…[11]). The case ε j = ε 0 is the most symmetrical of all, and coincides with the results from previous works [101][102][103]. Depending on the type of symmetry, the dilution process can generate a maximum of up to (P − 1) extended states, which are exactly located on some of the edges of the gaps.…”

Section: Diluted Disordered Systemssupporting

confidence: 87%

“…In addition, in the resonance, the extended wave function behaves like an intermediate extended function, because its amplitude is zero at each disordered site. The localization behavior of the diluted systems have been studied in the tight-binding quantum case, and in classic systems, like harmonic chains and electric transmission lines [11,12,15,23,[80][81][82]84,96,[101][102][103].…”

Section: Diluted Disordered Systemsmentioning

confidence: 99%

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Localization Properties of Non-Periodic Electrical Transmission Lines

Lazo

2019

Symmetry

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The properties of localization of the I ω electric current function in non-periodic electrical transmission lines have been intensively studied in the last decade. The electric components have been distributed in several forms: (a) aperiodic, including self-similar sequences (Fibonacci and m-tuplingtupling Thue–Morse), (b) incommensurate sequences (Aubry–André and Soukoulis–Economou), and (c) long-range correlated sequences (binary discrete and continuous). The localization properties of the transmission lines were measured using typical diagnostic tools of quantum mechanics like normalized localization length, transmission coefficient, average overlap amplitude, etc. As a result, it has been shown that the localization properties of the classic electric transmission lines are similar to the one-dimensional tight-binding quantum model, but also features some differences. Hence, it is worthwhile to continue investigating disordered transmission lines. To explore new localization behaviors, we are now studying two different problems, namely the model of interacting hanging cells (consisting of a finite number of dual or direct cells hanging in random positions in the transmission line), and the parity-time symmetry problem ( PT -symmetry), where resistances R n are distributed according to gain-loss sequence ( R 2 n = + R , R 2 n − 1 = − R ). This review presents some of the most important results on the localization behavior of the I ω electric current function, in dual, direct, and mixed classic transmission lines, when the electrical components are distributed non-periodically.

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Section: Diluted Disordered Systemssupporting

confidence: 87%

Section: Diluted Disordered Systemsmentioning

confidence: 99%

Localization Properties of Non-Periodic Electrical Transmission Lines

Lazo

2019

Symmetry

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“…a defect or disorder, SRO, etc) on a model system which may give very illustrative physical results for a theoretical technique before it is applied to a real material. It should however be emphasized that such model systems might correspond poorly at best to realistic materials which might have been studied intensively by various approaches for different purposes [15,[21][22][23][24][25]. Therefore, it is still of great interest for the simplicity of comparison and exact results for alternative theoretical studies.…”

Section: The Model System and The Application Of Methodsmentioning

confidence: 99%

Calculation of electronic states of a disordered binary alloy

Yıldız¹,

Çelik²

2005

J. Phys.: Condens. Matter

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We present an extension of the Beeby and Hayes method for the calculation of electronic states of a binary disordered alloy in the form A x B 1−x on a square lattice. The calculation demonstrates the application of the disordered system approach to the substitutionally disordered square lattice. The densities of states of the binary alloy are calculated for different cases in the tight-binding limit.

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“…The work extended to quasi-one dimensional systems as well for which the Landauer resistance and its relation to the localization length was examined in details [29] for a two-leg ladder model, an extensive extension of which was later done by Sedrakyan et al [30]. Controlled disorder induced localization and delocalization of eigenfunctions took a considerable volume in contemporary literature, exploring solid non-trivial results involving electron or phonon eigenstates [31][32][33]. Extended eigenfunctions in all such works mostly appear at special discrete set of energy eigenvalues.…”

Section: Introductionmentioning

confidence: 99%

Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices

Pal

Chakrabarti

2014

Physics Letters A

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We show that a discrete tight-binding model representing either a random or a quasiperiodic array of bonds, can have the entire energy spectrum or a substantial part of it absolutely continuous, populated by extended eigenfunctions only, when atomic sites are coupled to the lattice locally, or non-locally from one side. The event can be fine-tuned by controlling only the host-adatom coupling in one case, while in two other cases cited here an additional external magnetic field is necessary. The delocalization of electronic states for the group of systems presented here is sensitive to a subtle correlation between the numerical values of the Hamiltonian parameters -a fact that is not common in the conventional cases of Anderson localization. Our results are analytically exact, and supported by numerical evaluation of the density of states and electronic transmission coefficient.

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

Cited by 24 publications

References 22 publications

Localization Properties of Non-Periodic Electrical Transmission Lines

Localization Properties of Non-Periodic Electrical Transmission Lines

Calculation of electronic states of a disordered binary alloy

Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices

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