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

García-Mata, I., Giraud, O., Georgeot, B., Martin, J., Dubertrand, Rémy and Lemarié, G. (2017) Scaling Theory of the Anderson Transition in Random Graphs: Ergodicity and Universality. Phys. Rev. Lett. 118, p. 166801.

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

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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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Item type:Article
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
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Dewey Decimal Classification:500 Science > 530 Physics
Created at the University of Regensburg:Unknown
Item ID:37164
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