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Gap structure of 1D cut and project Hamiltonians

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Published under licence by IOP Publishing Ltd
, , Citation Nicolas Macé et al 2017 J. Phys.: Conf. Ser. 809 012023 DOI 10.1088/1742-6596/809/1/012023

1742-6596/809/1/012023

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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10.1088/1742-6596/809/1/012023