Localization for the random displacement model at weak disorder

Details Localization for the random displacement model at weak disorder Localization for the random displacement model at weak disorder

2009-04-19

arxiv.org/abs/0904.2890v2

Physics

Mathematical Physics

Scientific paper

This paper is devoted to the study of the random displacement model on $\R^d$. We prove that, in the weak displacement regime, Anderson and dynamical localization holds near the bottom of the spectrum under a generic assumption on the single site potential and a fairly general assumption on the support of the possible displacements. This result follows from the proof of the existence of Lifshitz tail and of a Wegner estimate for the model under scrutiny.

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