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arXiv · 1203.1207

On two-particle Anderson localization at low energies

Trésor Ekanga
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Abstract

We prove exponential spectral localization in a two-particle lattice Anderson model, with a short-range interaction and external random i.i.d. potential, at sufficiently low energies. The proof is based on the multi-particle multi-scale analysis developed earlier by Chulaevsky and Suhov (2009) in the case of high disorder. Our method applies to a larger class of random potentials than in Aizenman and Warzel (2009) where dynamical localization was proved with the help of the fractional moment method.

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Trésor Ekanga. 2013-12-31. On two-particle Anderson localization at low energies. https://doi.org/10.1016/j.crma.2010.11.003

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