Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder

and

Published 13 October 2011 Europhysics Letters Association
, , Citation M. Aizenman and S. Warzel 2011 EPL 96 37004 DOI 10.1209/0295-5075/96/37004

0295-5075/96/3/37004

Abstract

Our recently established criterion for the formation of extended states on tree graphs in the presence of disorder is shown to have the surprising implication that for bounded random potentials, as in the Anderson model, there is no transition to a spectral regime of Anderson localization, in the form usually envisioned, unless the disorder is strong enough.

Export citation and abstract BibTeX RIS

10.1209/0295-5075/96/37004