Critical states and fractal attractors in fractal tongues: localization in the Harper map.
Phys Rev E Stat Nonlin Soft Matter Phys
; 64(4 Pt 2): 045204, 2001 Oct.
Article
em En
| MEDLINE
| ID: mdl-11690079
ABSTRACT
Localized states of Harper's equation correspond to strange nonchaotic attractors in the related Harper mapping. In parameter space, these fractal attractors with nonpositive Lyapunov exponents occur in fractally organized tongue-like regions which emanate from the Cantor set of eigenvalues on the critical line epsilon=1. A topological invariant characterizes wave functions corresponding to energies in the gaps in the spectrum. This permits a unique integer labeling of the gaps and also determines their scaling properties as a function of potential strength.
Buscar no Google
Base de dados:
MEDLINE
Idioma:
En
Ano de publicação:
2001
Tipo de documento:
Article