Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops

Details Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops

2008-09-24

arxiv.org/abs/0809.4197v1

Physics

Mathematical Physics

25 pages, 4 figures

Scientific paper

We consider random Schr\"odinger operators on tree graphs and prove absolutely continuous spectrum at small disorder for two models. The first model is the usual binary tree with certain strongly correlated random potentials. These potentials are of interest since for complete correlation they exhibit localization at all disorders. In the second model we change the tree graph by adding all possible edges to the graph inside each sphere, with weights proportional to the number of points in the sphere.

Affiliated with

Also associated with

No associations

Rating

Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-111264