| Issue |
EPL
Volume 96, Number 3, November 2011
|
|
|---|---|---|
| Article Number | 37004 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/96/37004 | |
| Published online | 13 October 2011 | |
Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder
1
Departments of Physics and Mathematics, Princeton University - Princeton, NJ 08544, USA
2
Zentrum Mathematik, TU München - Boltzmannstrasse 3, 85747 Garching, Germany, EU
Received:
26
June
2011
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
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