Localization for the random displacement model at weak disorder

Abstract

This paper is devoted to the study of the random displacement model on ${\mathbb{R}}^d$. 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.

References in corpus (2)

• Spectral extrema and Lifshitz tails for non monotonous alloy type models
• Minimizing the ground state energy of an electron in a randomly deformed lattice

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• Lifshitz asymptotics and localization for random breather models