Exact Mobility Edges for Almost-Periodic CMV Matrices via Gauge Symmetries
Christopher Cedzich,
Jake Fillman,
Long Li
et al.
Abstract:We investigate the symmetries of the so-called generalized extended Cantero–Moral–Velázquez (CMV) matrices. It is well-documented that problems involving reflection symmetries of standard extended CMV matrices can be subtle. We show how to deal with this in an elegant fashion by passing to the class of generalized extended CMV matrices via explicit diagonal unitaries in the spirit of Cantero–Grünbaum–Moral–Velázquez. As an application of these ideas, we construct an explicit family of almost-periodic CMV matri… Show more
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