Tulio O. Carvalho, Cesar R. de Oliveira
Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets
(294K, pdf)

ABSTRACT.  We consider convex combinations of finite-valued almost periodic 
sequences (mainly substitution sequences) and put them as potentials of one-dimensional tight-binding models. We 
prove that these sequences are almost periodic. We call such combinations {\em hybrid quasicrystals} and these studies 
are related to the minimality, under the shift on both coordinates, of the product space of the respective (minimal) 
hulls. We observe a rich variety of behaviors on the quantum dynamical transport ranging from localization to transport.