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Extended electronic state and anderson transition in one dimension

โœ Scribed by J. Chahoud; G. Russo; L. Ferrari


Book ID
112840515
Publisher
Springer-Verlag,Italian Physical Society
Year
1979
Weight
540 KB
Volume
50
Category
Article
ISSN
0369-3554

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Extended States in the Anderson Model on
โœ Abel Klein ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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