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Delocalized vibrations in classical random chains

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Domínguez-Adame Acosta, Francisco and Maciá Barber, Enrique Alfonso and Sánchez, Angel (1993) Delocalized vibrations in classical random chains. Physical Review B, 48 (9). pp. 6054-6057. ISSN 0163-1829

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Official URL: http://dx.doi.org/10.1103/PhysRevB.48.6054


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Abstract

Normal modes of one-dimensional disordered chains with two couplings, one of them assigned at random to pairs in an otherwise perfect chain, are investigated. We diagonalize the dynamical matrix to find the normal modes and to study their spatial extent. Multifractal analysis is used to discern clearly the localized or delocalized character of vibrations. In constrast to the general viewpoint that all normal modes in one dimensional random chains are localized, we find a set of extended modes close to a critical frequency, whose number increases with the system size and becomes independent of the defect concentration.


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© 1993 The American Physical Society.
We are indebted to Sergey A. Gredeskul for helpful discussions. We also thank the Comision Interministerial de Ciencia y Tecnologia of Spain for financial support under Project No. MAT90-0544 and the Universidad Carlos III de Madrid for computer facilities.

Uncontrolled Keywords:Random-dimer model, Conducting polymers, Localization, Absence
Subjects:Sciences > Physics > Materials
ID Code:28105
Deposited On:29 Jan 2015 09:59
Last Modified:29 Jan 2015 09:59

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