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

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

2011-09-10

arxiv.org/abs/1109.2210v1

Physics

Mathematical Physics

Scientific paper

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.

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