๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Analyticity of the density of states in the anderson model on the Bethe lattice

โœ Scribed by Victor Acosta; Abel Klein

Publisher
Springer
Year
1992
Tongue
English
Weight
994 KB
Volume
69
Category
Article
ISSN
0022-4715

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Extended States in the Anderson Model on
Extended States in the Anderson Model on the Bethe Lattice
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

On the extremality of the disordered sta
On the extremality of the disordered state for the Ising model on the Bethe lattice
โœ Dmitry Ioffe ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 269 KB

We give a simple proof that the limit Ising Gibbs measure with free boundary conditions on the Bethe lattice with the forward branching ratio k /> 2 is extremal if and only if/~ is less or equal to the spin glass transition value, given by tanh(Bc so) = 1/x/k.