Volume 96, Number 3, November 2011
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||13 October 2011|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.