Monitoring the localization-delocalization transition within a one-dimensional model with nonrandom long-range interaction
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 dete...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51256 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51256 |
| Access Level: | acceso abierto |
| Palabra clave: | 538.9 Inverse Participation Ratio Metal-Insulator-Transition Disordered-Systems Anderson Transition Probability-Distributions Quantum Diffusion Scaling Theory Wave-Functions Fluctuations Absence Física de materiales |
| Sumario: | 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. |
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