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/