Gap structure of 1D cut and project Hamiltonians

13th International Conference on Quasicrystals

Macé, Nicolas^1 ; Jagannathan, Anuradha^1 ; Piéchon, Frédéric^1

Laboratoire de Physique des Solides, Université Paris-Saclay, Orsay

91400, France^1

关键词: Gap size;    Gap structures;    Nearest neighbors;    Quasi-periodic;    Tight binding model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/809/1/012023/pdf
DOI  :  10.1088/1742-6596/809/1/012023

来源: IOP

【 摘 要 】

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.