Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type

preprint2012arXivOpen access

Abstract

A tree-strip of finite cone type is the product of a tree of finite cone type with a finite set. We consider random Schrödinger operators on these tree strips, similar to the Anderson model. We prove that for small disorder the spectrum is almost surely, purely, absolutely continuous in a certain set.

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