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arXiv · 0904.2890

Localization for the random displacement model at weak disorder

Fatma Ghribi·Frédéric Klopp
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Abstract

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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Fatma Ghribi, Frédéric Klopp. 2009-09-09. Localization for the random displacement model at weak disorder. https://doi.org/10.1007/s00023-010-0030-y

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