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oai:docta.ucm.es:20.500.14352/594002023-08-26T06:50:08Zcom_20.500.14352_14col_20.500.14352_15

Domínguez-Adame Acosta, Francisco Maciá Barber, Enrique Alfonso Sánchez, Angel 2023-06-20T19:12:55Z 2023-06-20T19:12:55Z 1993-09-01 0163-1829 10.1103/PhysRevB.48.6054 https://hdl.handle.net/20.500.14352/59400 http://dx.doi.org/10.1103/PhysRevB.48.6054 http://journals.aps.org 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. eng open access Delocalized vibrations in classical random chains journal article