Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
dc.contributor.author | Malyshev, Andrey | |
dc.contributor.author | Domínguez-Adame Acosta, Francisco | |
dc.date.accessioned | 2023-06-20T10:48:22Z | |
dc.date.available | 2023-06-20T10:48:22Z | |
dc.date.issued | 2004-11 | |
dc.description | © 2004 The American Physical Society. The authors thank A. Rodríguez, M. A. Martín-Delgado, and G. Sierra for discussions. This work was supported by DGI-MCyT (MAT2003-01533) and MECyD (SB2001 -0146) | |
dc.description.abstract | We consider a two-parameter one-dimensional Hamiltonian with uncorrelated diagonal disorder and nonrandom long-range intersite interaction J(mn)=J/\m-n\(mu). The model is critical at 1<mu<3/2 and reveals the localization-delocalization transition with respect to the disorder magnitude. To detect the transition we analyze level and wave function statistics. It is demonstrated also that in the marginal case (mu=3/2) all states are localized. | |
dc.description.department | Depto. de Física de Materiales | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | DGI-MCyT | |
dc.description.sponsorship | MECyD | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/27477 | |
dc.identifier.doi | 10.1103/PhysRevB.70.172202 | |
dc.identifier.issn | 1098-0121 | |
dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevB.70.172202 | |
dc.identifier.relatedurl | http://dx.doi.org | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/51256 | |
dc.issue.number | 17 | |
dc.journal.title | Physical Review B | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.relation.projectID | MAT2003-01533 | |
dc.relation.projectID | SB2001-0146 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 538.9 | |
dc.subject.keyword | Inverse Participation Ratio | |
dc.subject.keyword | Metal-Insulator-Transition | |
dc.subject.keyword | Disordered-Systems | |
dc.subject.keyword | Anderson Transition | |
dc.subject.keyword | Probability-Distributions | |
dc.subject.keyword | Quantum Diffusion | |
dc.subject.keyword | Scaling Theory | |
dc.subject.keyword | Wave-Functions | |
dc.subject.keyword | Fluctuations | |
dc.subject.keyword | Absence | |
dc.subject.ucm | Física de materiales | |
dc.title | Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction | |
dc.type | journal article | |
dc.volume.number | 70 | |
dcterms.references | 1. P. W. Anderson, Phys. Rev. 109, 1492 (1958). 2. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979). 3. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985). 4. B. Kramer and A. MacKinnon, Rep. Prog. Phys. 56, 1469 (1993). 5. A. D. Mirlin, Phys. Rep. 326, 259 (2000). 6. F. Wegner, Z. Phys. B 36, 209 (1980); Nucl. Phys. B 316, 663 (1989). 7. H. Aoki, J. Phys. C 16, L205 (1983); Phys. Rev. B 33, 7310 (1986). 8. C. Castellani and L. Peliti, J. Phys. A 19, L429 (1986). 9. M. Schreiber and H. Grussbach, Phys. Rev. Lett. 67, 607 (1991); Mod. Phys. Lett. B 6, 851 (1992). 10. M. Janssen, Int. J. Mod. Phys. B 8, 943 (1994). 11. A. D. Mirlin, Y. V. Fyodorov, F.-M. Dittes, J. Quezada, and T. H. Seligman, Phys. Rev. E 54, 3221 (1996). 12. L. S. Levitov, Europhys. Lett. 9, 83 (1989); Ann. Phys. (Leipzig) 8, 507 (1999). 13. F. Evers and A. D. Mirlin, Phys. Rev. Lett. 84, 3690 (2000). 14. A. D. Mirlin and F. Evers, Phys. Rev. B 62, 7920 (2000). 15. B. Shapiro, Phys. Rev. B 34, 4394 (1986); Philos. Mag. B 56, 1031 (1987). 16. A. Cohen, Y. Roth, and B. Shapiro, Phys. Rev. B 38, 12 125 (1988). 17. B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides, and H. B. Shore, Phys. Rev. B 47, 11 487 (1993). 18. Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. B 51, 13 403 (1995). 19. V. N. Prigodin and B. L. Altshuler, Phys. Rev. Lett. 80, 1944 (1998). 20. A. Rodríguez, V. A. Malyshev, and F. Domínguez-Adame, J. Phys. A 33, L161 (2000). 21. A. Rodríguez, V. A. Malyshev, G. Sierra, M. A. Martín-Delgado, J. Rodríguez-Laguna, and F. Domínguez-Adame, Phys. Rev. Lett. 90, 027404 (2003). 22. A. MacKinnon, J. Phys.: Condens. Matter 6, 2511 (1994). 23. K. Slevin and T. Ohtsuki, Phys. Rev. Lett. 82, 382 (1999). 24. G. Schubert, A. Weisse, and H. Fehske, cond-mat/0309015 (unpublished), private communication. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | b2abe0ef-0417-4f43-8dce-55d3205e22ec | |
relation.isAuthorOfPublication | dbc02e39-958d-4885-acfb-131220e221ba | |
relation.isAuthorOfPublication.latestForDiscovery | b2abe0ef-0417-4f43-8dce-55d3205e22ec |
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