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

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.

33 pages, 1 figure; final revised version, to appear in Annales Henri Poincare

References in corpus (3)

• Absolutely Continuous Spectrum for Random Schroedinger Operators on the Bethe Strip
• Localization for the Anderson Model on Trees with Finite Dimensions
• Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip

Cited by in corpus (5)

• Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
• Absolutely Continuous Spectrum for random Schroedinger operators on the Fibonacci and similar tree-strips
• Spectral Theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models
• A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes
• On absolutely continuous spectrum for one-channel unitary operators