Publication: Delocalized vibrations in classical random chains
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ISSN: 1098-0121 (print version)
ISSN: 1550-235X (online version)
Publication date
1993-09-01
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Publisher
American Physical Society
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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Bibliographic citation
Physical Review B, vol. 48, n. 9, 1 sep. 1993. Pp. 6054–6057