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Anderson Localization on the Bethe Lattice: Nonergodicity of Extended States

✍ Scribed by De Luca, A.; Altshuler, B. L.; Kravtsov, V. E.; Scardicchio, A.


Book ID
125809281
Publisher
The American Physical Society
Year
2014
Tongue
English
Weight
336 KB
Volume
113
Category
Article
ISSN
0031-9007

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📜 SIMILAR VOLUMES


Extended States in the Anderson Model on
✍ Abel Klein 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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