Gap structure of 1D cut and project Hamiltonians

@inproceedings{Mace2017GapSO,
  title={Gap structure of 1D cut and project Hamiltonians},
  author={Nicolas Mac'e and Anuradha Jagannathan and Fr'ed'eric Pi'echon},
  year={2017}
}
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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