Anderson localization for a multi-particle model with alloy-type external potential

Details Anderson localization for a multi-particle model with alloy-type external potential Anderson localization for a multi-particle model with alloy-type external potential

2010-04-08

arxiv.org/abs/1004.1300v1

Physics

Mathematical Physics

Scientific paper

We establish exponential localization for a multi-particle Anderson model in
a Euclidean space of an arbitrary dimension, in presence of a non-trivial
short-range interaction and an alloy-type random external potential.
Specifically, we prove that all eigenfunctions with eigenvalues near the lower
edge of the spectrum decay exponentially.

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