arXiv:1202.2058 [math-ph]AbstractReferencesReviewsResources
Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type
Published 2012-02-09, updated 2012-09-15Version 2
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.
Comments: 33 pages, 1 figure; final revised version, to appear in Annales Henri Poincare
Related articles: Most relevant | Search more
Absolutely Continuous Spectrum for random Schroedinger operators on the Fibonacci and similar tree-strips
Absolutely Continuous Spectrum for Random Schroedinger Operators on the Bethe Strip
arXiv:math-ph/0605054 (Published 2006-05-17)
Lyapunov Exponents and Spectral Analysis of Ergodic Schrödinger Operators: A Survey of Kotani Theory and its Applications