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Transition between localized and extended states in the hierarchical Anderson model

✍ Scribed by Metz, F. L.; Leuzzi, L.; Parisi, G.; Sacksteder, V.


Book ID
120618257
Publisher
The American Physical Society
Year
2013
Tongue
English
Weight
661 KB
Volume
88
Category
Article
ISSN
1098-0121

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πŸ“œ SIMILAR VOLUMES


Extended States in the Anderson Model on
✍ Abel Klein πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 394 KB

We prove that the Anderson Hamiltonian H \* =&2+\*V on the Bethe lattice has ``extended states'' for small disorder. More precisely, given any closed interval I contained in the interior of the spectrum of the Laplacian on the Bethe lattice, we prove that for small disorder H \* has purely absolutel