Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials

preprint2015arXivOpen access

Abstract

We give a criterion implying subcritical behavior for quasi-periodic Schrödinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical behavior, in the sense of Avila's global theory, is known to imply purely absolutely continuous spectrum for all irrational frequencies and all phases.

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