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Spectral regularity and defects for the Kohmoto model (2410.17722v1)
Published 23 Oct 2024 in math-ph, math.MP, and math.SP
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.
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