Physics – Mathematical Physics
Scientific paper
2011-06-23
Physics
Mathematical Physics
19 pages, 1 figure. New version corrects misprints and adds pertaining references
Scientific paper
10.1007/s10955-012-0439-4
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.
Marchetti Domingos H. U.
Wreszinski Walter F.
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