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