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

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García-Mata, I. ; Giraud, O. ; Georgeot, B. ; Martin, J. ; Dubertrand, Rémy ; Lemarié, G.
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 23 Apr 2018 12:51


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 ...


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