Anomalous localization in the aperiodic Kronig–Penney model
| Autor: | L. Tessieri, Felix M. Izrailev, J. C. Hernández-Herrejón |
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| Rok vydání: | 2010 |
| Předmět: |
Statistics and Probability
Physics Diagonal FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter::Disordered Systems and Neural Networks Electronic states Particle in a one-dimensional lattice symbols.namesake Aperiodic graph Modeling and Simulation Quantum mechanics symbols Electronic band structure Hamiltonian (quantum mechanics) Scaling Anderson impurity model Mathematical Physics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 43:425004 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/43/42/425004 |
| Popis: | We analyse the anomalous properties of specific electronic states in the Kronig-Penney model with weak compositional and structural disorder. Using the Hamiltonian map approach, we show that the localisation length of the electronic states exhibits a resonant effect close to the band centre and anomalous scaling at the band edges. These anomalies are akin to the corresponding ones found in the Anderson model with diagonal disorder. We also discuss how specific cross-correlations between compositional and structural disorder can generate an anomalously localised state near the middle of the energy band. The tails of this state decay with the same stretched-exponential law which characterises the band-centre state in the Anderson model with purely off-diagonal disorder. Comment: 30 pages, 8 figures. The revised version includes an enlarged bibliography and an extended discussion of the anomalously localised states |
| Databáze: | OpenAIRE |
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