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arXiv · 0706.1659

Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets

Tulio O. Carvalho·Cesar R. de Oliveira
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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.

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Tulio O. Carvalho, Cesar R. de Oliveira. 2007-06-12. Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets. https://doi.org/10.1007/s10955-007-9299-8

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