Alexander Elgart, Martin Tautenhahn, Ivan Veselić: Exponential decay of Green's function for Anderson models on Z with single-site potentials of finite support
- Author(s):
-
Alexander Elgart
Martin Tautenhahn
Ivan Veselić
- Title:
- Exponential decay of Green's function for Anderson models on Z with single-site potentials of finite support
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 9, 2010
- Mathematics Subject Classification:
-
82B44 [ ] 60H25 [] 35J10 [] - Abstract:
- One of the fundamental results in the theory of localisation for discrete Schrödinger operators with random potentials is the exponential decay of Green's function. In this note we provide a new variant of this result in the one-dimensional situation for sign-changing single-site potentials with arbitrary finite support using the fractional moment method.
- Keywords:
-
alloy-type model,
single site potential,
fractional moment method,
non-monotonicity
- Language:
- English
- Publication time:
- 03/2010
