Absolutely Continuous Spectrum for random Schroedinger operators on the Fibonacci and similar tree-strips

preprint2014arXivOpen access

Abstract

We will consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set.

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