Delocalized vibrations in classical random chains
| dc.contributor.author | Domínguez-Adame Acosta, Francisco | |
| dc.contributor.author | Maciá Barber, Enrique Alfonso | |
| dc.contributor.author | Sánchez, Angel | |
| dc.date.accessioned | 2023-06-20T19:12:55Z | |
| dc.date.available | 2023-06-20T19:12:55Z | |
| dc.date.issued | 1993-09-01 | |
| dc.description | © 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. | |
| dc.description.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. | |
| dc.description.department | Depto. de Física de Materiales | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Comision Interministerial de Ciencia y Tecnologia of Spain | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/28105 | |
| dc.identifier.doi | 10.1103/PhysRevB.48.6054 | |
| dc.identifier.issn | 0163-1829 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevB.48.6054 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59400 | |
| dc.issue.number | 9 | |
| dc.journal.title | Physical Review B | |
| dc.language.iso | eng | |
| dc.page.final | 6057 | |
| dc.page.initial | 6054 | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | MAT90-0544 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 538.9 | |
| dc.subject.keyword | Random-dimer model | |
| dc.subject.keyword | Conducting polymers | |
| dc.subject.keyword | Localization | |
| dc.subject.keyword | Absence | |
| dc.subject.ucm | Física de materiales | |
| dc.title | Delocalized vibrations in classical random chains | |
| dc.type | journal article | |
| dc.volume.number | 48 | |
| dcterms.references | 1. P. Dean, Proc. Phys. Soc. 84, 727 (1964). 2. E. H. Lieb and D. C. Mattis, Mathematical Physics in One Dimension (Academic, New York, 1966). 3. J. M. Ziman, Models of Disorder (Cambridge University Press, London, 1979). 4. D. H. Dunlap, H.-L. Wu, and P. W. Phillips, Phys. Rev. Lett. 65, 88 (1990). 5. H.-L. Wu and P. Phillips, Phys. Rev. Lett. 66, 1366 (1991). 6. P. Phillips and H.-L. Wu, Science 252, 1805 (1991). 7. H.-L. Wu, W. Go@, and P. Phillips, Phys. Rev. B 45, 1623 (1992). 8. A. Sanchez and F. Dominguez-Adame (unpublished). 9. M. Schreiber and H. Grussbach, Mod. Phys. Lett. B 6, 851 (1992). 10. J. Canisius and J. L. van Hemmen, J. Phys. C 18, 4873 (1985). 11. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in 0, 1st ed. (Cambridge University Press, Cambridge, 1989). 12. H. Matsuda and K. Ishii, Prog. Theor. Phys. Suppl. 45, 56 (1970). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | dbc02e39-958d-4885-acfb-131220e221ba | |
| relation.isAuthorOfPublication | dd37b3ce-0186-44e8-a4b6-62cef9121754 | |
| relation.isAuthorOfPublication.latestForDiscovery | dbc02e39-958d-4885-acfb-131220e221ba |
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