Sparse one-dimensional discrete Dirac operators II: Spectral properties


Autoria(s): Carvalho, S. L.; de Oliveira, C. R.; Prado, R. A.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/07/2011

Resumo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Processo FAPESP: 10/10236-3

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]

Formato

21

Identificador

http://dx.doi.org/10.1063/1.3600536

Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 52, n. 7, p. 21, 2011.

0022-2488

http://hdl.handle.net/11449/7123

10.1063/1.3600536

WOS:000293478000016

WOS000293478000016.pdf

Idioma(s)

eng

Publicador

American Institute of Physics (AIP)

Relação

Journal of Mathematical Physics

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article