Anderson localization for a multi-particle model with alloy-type external potential
de Monvel, Anne Boutet · Chulaevsky, Victor · Stollmann, Peter · Suhov, Yuri
Original · EN
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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