Sparse one-dimensional discrete Dirac operators II: Spectral properties

Carvalho, S. L.; de Oliveira, C. R.; Prado, R. A. [UNESP]

Sparse one-dimensional discrete Dirac operators II: Spectral properties

Arquivos

WOS000293478000016.pdf (568.38 KB)

Data

2011-07-01

Autores

Carvalho, S. L.

de Oliveira, C. R.

Prado, R. A.

Editor

American Institute of Physics (AIP)

Tipo

Artigo

Direito de acesso

Acesso restrito

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]