Gap structure of 1D cut and project Hamiltonians

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.

Issued for the 13th International Conference on Quasicrystals (ICQ13)

References in corpus (2)

• Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain
• Topological properties of Fibonacci quasicrystals : A scattering analysis of Chern numbers

Cited by in corpus (6)

• The Proximity Effect in a Superconductor-Quasicrystal Hybrid Ring
• Josephson effect in a Fibonacci quasicrystal
• Topological superconductivity in Fibonacci quasicrystals
• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
• Missing link between the 2D Quantum Hall problem and 1D quasicrystals
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation