Localization for the random displacement model at weak disorder

Fatma Ghribi (1) , Frédéric Klopp (2)

1 Département de Mathématiques [Monastir]
2 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: random displacement; localization; Lifshitz tails; Wegner estimate

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Fatma Ghribi, Frédéric Klopp. Localization for the random displacement model at weak disorder. 2009. ⟨hal-00376644v2⟩