LOCALIZATION FOR RANDOM POTENTIALS SUPPORTED ON A SUBSPACE

Authors
GRINSHPUN V
Citation
V. Grinshpun, LOCALIZATION FOR RANDOM POTENTIALS SUPPORTED ON A SUBSPACE, letters in mathematical physics, 34(2), 1995, pp. 103-117
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
34
Issue
2
Year of publication
1995
Pages
103 - 117
Database
ISI
SICI code
0377-9017(1995)34:2<103:LFRPSO>2.0.ZU;2-M
Abstract
We consider the lattice Schrodinger operator acting on l(2)(Z(d)) With random potential (independent, identically distributed random variabl es), supported on a subspace of dimension 1 less than or equal to v < d. We use the multiscale analyses scheme to prove that this operator e xhibits exponential localization at the edges of the spectrum for any disorder or outside the interval [C-2d, 2d] for sufficiently high diso rder.