Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets

Details Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets

2007-06-12

arxiv.org/abs/0706.1659v1

Physics

Mathematical Physics

3 figures. To appear in Journal of Stat. Physics

Scientific paper

10.1007/s10955-007-9299-8

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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