Two critical localization lengths in the Anderson transition on random graphs

We present a full description of the nonergodic properties of wave functions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We find that they are characterized by two critical localization lengths: the largest one describes localization along rare...

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Bibliographic Details
Published in:Physical Review Research
Main Authors: I. García-Mata, J. Martin, R. Dubertrand, O. Giraud, B. Georgeot, G. Lemarié
Format: Article
Language:English
Published: American Physical Society 2020-01-01
Online Access:http://doi.org/10.1103/PhysRevResearch.2.012020