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math-ph2024
Interval spectrum for electric quantum walk and related skew-shift CMV matrices
Fan Yang
We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matric…
math-ph2024
On the spectrum of magnetic Laplacian on the Lieb lattice
Moises Gomez Solis, Dylan Spedale, Fan Yang
We study the magnetic Laplacian on the Lieb lattice, and prove Cantor spectrum for arbitrary irrational magnetic flux. We also provide a complete spectral analysis for the reduced…