Nonscattered states in a random-dimer model

Pk, Datta; Giri, Dipankar; Kundu, K.

doi:10.1103/physrevb.47.10727

Cited by 87 publications

(64 citation statements)

References 38 publications

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] This phenomenon has been shown to arise in a number of different contexts, like electron transport, 1-9,12-14 phonon transport, 11,17 exciton dynamics, 15,16,18 or magnon propagation. 10 All these theoretical analyses openly contradict the belief that localization of all eigenstates is a general phenomenon in one-dimensional disordered systems.…”

Section: Introductionmentioning

confidence: 99%

Absence of localization and large dc conductance in random superlattices with correlated disorder

1994

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We study how the influence of structural correlations in disordered systems manifests itself in experimentally measurable magnitudes, focusing on dc conductance of semiconductor superlattices with general potential profiles. We show that the existence of bands of extended states in these structures gives rise to very noticeable peaks in the finite temperature dc conductance as the chemical potential is moved through the bands or as the temperature is increased from zero. On the basis of these results we discuss how dc conductance measurements can provide information on the location and width of the bands of extended states. Our predictions can be used to demonstrate experimentally that structural correlations inhibit the localization effects of disorder.

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Section: Introductionmentioning

confidence: 99%

Absence of localization and large dc conductance in random superlattices with correlated disorder

1994

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“…Further research in this and related models supported this unexpected result, including other grouping rules aside from pairing. [4][5][6][7][8][9][10] All those results established on firm grounds the existence of bands of extended states in this class of models, at least in finite size samples. However, the reasons for such bands to arise remain unclear: To the best of our knowledge, there are only some perturbative results estimating the number of states 4,5 , and some symmetry conditions for the existence of this kind of resonances.…”

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confidence: 99%

Explanation of delocalization in the continuous random-dimer model

et al. 1995

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We propose an explanation of the bands of extended states appearing in random one dimensional models with correlated disorder, focusing on the Continuous Random Dimer model [A. Sánchez, E. Maciá, and F. Domínguez-Adame, Phys. Rev. B 49, 147 (1994)]. We show exactly that the transmission coefficient at the resonant energy is independent of the number of host sites between two consecutive dimers. This allows us to understand why are there bands of extended states for every realization of the model as well as the dependence of the bandwidths on the concentration. We carry out a perturbative calculation that sheds more light on the above results. In the conclusion we discuss generalizations of our results to other models and possible applications which arise from our new insight of this problem.

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“…Similar dimer models for classical systems were studied in ref. 8 . Using the inter-relation between a disordered Kronnig-Penney system and the dimer model (Poincaré map) [9][10][11][12] an infinite set of such delocalized states exist.…”

Section: Introductionmentioning

confidence: 99%

“…Recently the interest has increased substantially in order to find theoretical evidence for the breaking of Anderson localization by internal correlations in disordered systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] . For instance, in ref.…”

Section: Introductionmentioning

confidence: 99%

Delocalization in continuous disordered systems

Hilke

Flores

1997

Phys. Rev. B

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Continuous One-dimensional models supporting extended states are studied. These delocalized states occur at well defined values of the energy and are consequences of simple statistical correlation rules. We explicitly study alloys of δ-barrier potentials as well as alloys and liquids of quantum wells. The divergence of the localization length is studied and a critical exponent 2/3 is found for the δ-barrier case, whereas for the quantum wells we find an exponent of 2 or 2/3 depending on the well's parameters. These results support the idea that correlations between random scattering sequences break Anderson localization. We further calculate the conductance of disordered superlattices. At the peak transmission the relative fluctuations of the transmission coefficient are vanishing.

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Nonscattered states in a random-dimer model

Cited by 87 publications

References 38 publications

Absence of localization and large dc conductance in random superlattices with correlated disorder

Absence of localization and large dc conductance in random superlattices with correlated disorder

Explanation of delocalization in the continuous random-dimer model

Delocalization in continuous disordered systems

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