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arXiv · 1201.2339

Localization at low energies in the multi-particle tight-binding model

Trésor Ekanga
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Abstract

We consider the multi-particle Anderson tight-binding model and prove that its lower spectral edge is non-random under some mild assumptions on the inter-particle interaction and the random external potential. We also adapt to the low energy regime the multi-particle multi-scale analysis initially developed by Chulaevsky and Suhov in the high disorder limit, if the marginal probability distribution of the i.i.d. random variables is log-Hölder continuous and obtain the spectral exponential and strong dynamical localization near the bottom of the spectrum.

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Trésor Ekanga. 2013-12-25. Localization at low energies in the multi-particle tight-binding model. https://arxiv.org/abs/1201.2339

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