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

M. Aizenman, S. Warzel

Research output: Contribution to journalArticle

22 Scopus citations

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.

Original languageEnglish (US)
Article number37004
JournalEPL
Volume96
Issue number3
DOIs
StatePublished - Nov 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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