Anderson localization for Schrodinger operators on Z with potentials givenby the skew-shift

Authors
Bourgain, J Goldstein, M Schlag, W
Citation
J. Bourgain et al., Anderson localization for Schrodinger operators on Z with potentials givenby the skew-shift, COMM MATH P, 220(3), 2001, pp. 583-621
Citations number
16
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
220
Issue
3
Year of publication
2001
Pages
583 - 621
Database
ISI
SICI code
0010-3616(200107)220:3<583:ALFSOO>2.0.ZU;2-W
Abstract
In this paper we study one-dimensional Schrodinger operators on the lattice with a potential given by the skew shift. We show that Anderson localizati on takes place for most phases and frequencies and sufficiently large disor ders.