Anderson localization in a two-particle continuous model with an alloy-type external potential

Abstract

We establish exponential localization for a two-particle Anderson model in a Euclidean space ${\mathbb{R}}^d$, $d\ge 1$, in presence of a non-trivial short-range interaction and a random external potential of the alloy type. Specifically, we prove that all eigenfunctions with eigenvalues near the lower edge of the spectrum decay exponentially in $L^2$-norm.

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References in corpus (5)

• Multi-Particle Anderson Localisation: Induction on the Number of Particles
• Wegner bounds for a two-particle tight binding model
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• Localization with Less Larmes: Simply MSA