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• W58252209 abstract "We consider a random Schrodinger operator on the binary tree with a random potential which is the sum of a random radially symmetric potential, $Q_r$, and a random transversally periodic potential, $kappa Q_t$, with coupling constant $kappa$. Using a new one-dimensional dynamical systems approach combined with Jensen's inequality in hyperbolic space (our key estimate) we obtain a fractional moment estimate proving localization for small and large $kappa$. Together with a previous result we therefore obtain a model with two Anderson transitions, from localization to delocalization and back to localization, when increasing $kappa$. As a by-product we also have a partially new proof of one-dimensional Anderson localization at any disorder." @default.
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• W58252209 date "2014-08-18" @default.
• W58252209 modified "2023-09-27" @default.
• W58252209 title "Localization for transversally periodic random potentials on binary trees" @default.
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• W58252209 hasPublicationYear "2014" @default.
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