Year: 2024
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Beckus, Siegfried, Bellissard, Jean, Thomas, Yannik
Institutions: University of Potsdam, Georgia Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404303852