Sparse one-dimensional discrete Dirac operators II: Spectral properties
Data
2011-07-01
Autores
Carvalho, S. L.
de Oliveira, C. R.
Prado, R. A. [UNESP]
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Editor
American Institute of Physics (AIP)
Resumo
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 Schrodinger operators, we determine the Hausdorff dimension of its spectral measure and identify a sharp spectral transition from point to singular continuous. (C) 2011 American Institute of Physics. [doi:10.1063/1.3600536]
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Como citar
Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 52, n. 7, p. 21, 2011.