Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder
Departments of Physics and Mathematics, Princeton University - Princeton, NJ 08544, USA
2 Zentrum Mathematik, TU München - Boltzmannstrasse 3, 85747 Garching, Germany, EU
Accepted: 6 September 2011
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.
PACS: 73.20.Jc – Delocalization processes / 73.20.Fz – Weak or Anderson localization
© EPLA, 2011