Work

Spectral Regularity and Defects for the Kohmoto Model

Year: 2025

Type: article

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: Annales Henri Poincaré

DOI: 10.1007/s00023-025-01578-8

Authors: Siegfried Beckus, Jean Bellissard, Yannik Thomas

Institutions: Mathematical Research Institute of Oberwolfach, Georgia Institute of Technology, University of Potsdam

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Deutsche Forschungsgemeinschaft, Mathematisches Forschungsinstitut Oberwolfach