Sparse one-dimensional discrete Dirac operators II: Spectral properties
We study spectral properties of some discrete Dirac operators with nonzero potential only at some sparse and suitably randomly distributed positions. As observed in the corresponding Schrödinger operators, we determine the Hausdorff dimension of its spectral measure and identify a sharp spectral tra...
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| Veröffentlicht in: | Journal of mathematical physics 2011-07, Vol.52 (7), p.073501-073501-21 |
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| container_end_page | 073501-21 |
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| container_issue | 7 |
| container_start_page | 073501 |
| container_title | Journal of mathematical physics |
| container_volume | 52 |
| creator | Carvalho, S. L. de Oliveira, C. R. Prado, R. A. |
| description | We study spectral properties of some discrete Dirac operators with nonzero potential only at some sparse and suitably randomly distributed positions. As observed in the corresponding Schrödinger operators, we determine the Hausdorff dimension of its spectral measure and identify a sharp spectral transition from point to singular continuous. |
| doi_str_mv | 10.1063/1.3600536 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2011-07, Vol.52 (7), p.073501-073501-21 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_3600536 |
| source | AIP Journals Complete; AIP Digital Archive; Alma/SFX Local Collection |
| subjects | Exact sciences and technology Mathematical methods in physics Mathematics Physics Quantum physics Schrodinger equation Sciences and techniques of general use Spectrum analysis |
| title | Sparse one-dimensional discrete Dirac operators II: Spectral properties |
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