Localization and mobility edge for sparsely random potentials
Krishna, M ; Obermeit, J
arXiv, 9805015 / Harvested from arXiv
In this paper we consider sparsely random potentials in 5 or more dimensional cubic lattice and exhibit localized and extended states. We identify also the mobility edge for a class of potentials going to infinity at infinity. Our treatment includes a large class of unperturbed selfadjoint opeartors commuting with the usual Laplacian on the lattice.
Publié le : 1998-05-18
Classification:  Mathematical Physics,  Condensed Matter - Disordered Systems and Neural Networks,  Mathematics - Spectral Theory,  81Q10,  47B80
@article{9805015,
     author = {Krishna, M and Obermeit, J},
     title = {Localization and mobility edge for sparsely random potentials},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805015}
}
Krishna, M; Obermeit, J. Localization and mobility edge for sparsely random potentials. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805015/