Author(s):

Sadel, Christian

Article Title: 
Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Treestrips

Affiliation 
IST Austria 
Abstract: 
We 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 treestrips. We prove that for small disorder random Schrödinger operators on such treestrips have purely absolutely continuous spectrum in a certain set.

Keywords: 
Anderson model; extended states; Absolutely continuous spectrum; Fibonacci tree; Random Schrödinger operators

Journal Title:

Mathematical Physics, Analysis and Geometry

Volume: 
17

Issue 
34

ISSN:

15729656

Publisher:

Springer

Date Published:

20141217

Start Page: 
409

End Page:

440

DOI: 
10.1007/s1104001491634

Notes: 
This research was supported by NSERC Discovery grant 929972010 RGPIN and by the People Programme (Marie Curie Actions) of the EU 7th Framework Programme FP7/20072013, REA grant 291734.

Open access: 
no 