2 papers
math-ph2024
Spectral regularity and defects for the Kohmoto model
Siegfried Beckus, Jean Bellissard, Yannik Thomas
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…
math.SP2019
Hölder Continuity of the Spectra for Aperiodic Hamiltonians
Siegfried Beckus, Jean Bellissard, Horia Cornean
We study the spectral location of strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to…