Scaling Theory of the Anderson Transition in Random Graphs: Ergodicity and Universality

URN to cite this document:: urn:nbn:de:bvb:355-epub-371644
DOI to cite this document:: 10.5283/epub.37164

García-Mata, I. ; Giraud, O. ; Georgeot, B. ; Martin, J. ; Dubertrand, Rémy

; Lemarié, G.

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Date of publication of this fulltext: 23 Apr 2018 12:51

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Abstract

We study the Anderson transition on a generic model of random graphs with a tunable branching parameter 1 < K < 2, through large scale numerical simulations and finite-size scaling analysis. We find that a single transition separates a localized phase from an unusual delocalized phase that is ergodic at large scales but strongly nonergodic at smaller scales. In the critical regime, multifractal ...