Spectral regularity and defects for the Kohmoto model
Mathematical Physics
2024-10-24 v1 math.MP
Spectral Theory
Abstract
We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we determine the impurities at rational rotations leading to the spectral defects in the Kohmoto butterfly. Our results are similar to the ones obtained for the Almost-Mathieu operator and the associated Hofstadter butterfly.
Cite
@article{arxiv.2410.17722,
title = {Spectral regularity and defects for the Kohmoto model},
author = {Siegfried Beckus and Jean Bellissard and Yannik Thomas},
journal= {arXiv preprint arXiv:2410.17722},
year = {2024}
}