Gap structure of 1D cut and project Hamiltonians

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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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Macé, N., Jagannathan, A., & Piéchon, F. (2017). Gap structure of 1D cut and project Hamiltonians. In Journal of Physics: Conference Series (Vol. 809). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/809/1/012023

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