Surprises in the phase diagram of the Anderson model on the Bethe lattice (Q2929279)
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scientific article; zbMATH DE number 6368510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surprises in the phase diagram of the Anderson model on the Bethe lattice |
scientific article; zbMATH DE number 6368510 |
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11 November 2014
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Anderson localization
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quantum transport in disordered media
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Bethe lattice
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Surprises in the phase diagram of the Anderson model on the Bethe lattice (English)
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The author reviews recently discovered surprises in the phase diagram of the Anderson model on the Bethe lattice. One of them is that even at weak disorder, the regime of diffusive transport extends well beyond energies of the unperturbed model into the Lifshitz tails and the author shows that the mechanism for the appearance of extended states in this non-perturbative regime are disorder-induced resonance. The author also discusses questions concerning the structure of the eigenfunctions and the associated spectral statistics problem on the Bethe lattice.NEWLINENEWLINEFor the entire collection see [Zbl 1279.00048].
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