Spectra of Anderson type models with decaying randomness

Details Spectra of Anderson type models with decaying randomness Spectra of Anderson type models with decaying randomness

1999-11-08

arxiv.org/abs/math-ph/9911009v1

Physics

Mathematical Physics

Scientific paper

In this paper we consider some Anderson type models, with decaying randomness
and the free parts having long range tails. The randomness may decay at
different rates in different directions, though in majority of directions we
require some sort of short range decay. We show that there is pure a.c.
spectrum and some pure point spectrum in such models.

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