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arXiv · 1704.06463

Gap structure of 1D cut and project Hamiltonians

Nicolas Macé·Anuradha Jagannathan·Frédéric Piéchon
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Abstract

We study the gap properties of nearest neighbors tight binding models on quasiperiodic chains. We argue that two kind of gaps should be distinguished: stable and transient. We show that stable gaps have a well defined quasiperiodic limit. We also show that there is a direct relation between the gap size and the gap label.

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Nicolas Macé, Anuradha Jagannathan, Frédéric Piéchon. 2017-04-21. Gap structure of 1D cut and project Hamiltonians. https://doi.org/10.1088/1742-6596%2F809%2F1%2F012023

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