Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type
Mathematical Physics
2015-01-29 v2 math.MP
Spectral Theory
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 Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1202.2058,
title = {Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type},
author = {Christian Sadel},
journal= {arXiv preprint arXiv:1202.2058},
year = {2015}
}
Comments
33 pages, 1 figure; final revised version, to appear in Annales Henri Poincare