1106.4852 (Domingos H. U. Marchetti et al.)

Anderson-like Transition for a Class of Random Sparse Models in d >= 2
Dimensions    [PDF]

Domingos H. U. Marchetti, Walter F. Wreszinski

We show that the Kronecker sum of d >= 2 copies of a random one-dimensional
sparse model displays a spectral transition of the type predicted by Anderson,
from absolutely continuous around the center of the band to pure point around
the boundaries. Possible applications to physics and open problems are
discussed briefly.

View original: http://arxiv.org/abs/1106.4852